EBOB Hesaplayıcı

İki sayının en büyük ortak bölenini hesaplayın.

Ne is GCF (Greatest Common Faktör)?

The Greatest Common Faktör (GCF), also called Greatest Common Divisor (GCD), is the largest Sayı that divides evenly into two or more sayılar.

For örnek, GCF(24, 36) = 12, çünkü 12 is the largest Sayı that divides both 24 and 36.

GCF is calculated using the Euclidean algorithm, one of the oldest algorithms in mathematics (dating back to 300 BC).

Methods to find GCF:

Euclidean algorithm: Repeatedly divide and take remainders until reaching 0
Prime factorization: Find asal factors of each Sayı, multiply the common ones
Listing factors: List all factors of each Sayı and find the largest shared one

This hesaplayıcı uses the Euclidean algorithm for efficiency.

GCF is used to simplify fractions (divide numerator and denominator by GCF), solve distribution problems, and find common measurements.

For örnek, to simplify 24/36: GCF(24,36) = 12, so 24/36 = 2/3.

Ne is GCF of 24 and 36?

GCF(24, 36) = 12. The Sayı 12 is the largest faktör common to both 24 and 36.

Is GCF the same as GCD?

Yes. GCF (Greatest Common Faktör), GCD (Greatest Common Divisor), and HCF (Highest Common Faktör) all refer to the same concept.

Ne if GCF is 1?

If GCF of two sayılar is 1, they are called 'coprime' or 'relatively asal' — they share no common factors other than 1. Örnek: GCF(7, 9) = 1.