GCD of 268, 736, 892 Calculator

Given Input numbers are 268, 736, 892

In the factoring method, we have to find the divisors of all numbers

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (268, 736, 892) = 4.

Given numbers are 268, 736, 892

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 892 are 2 x 2 x 223

The highest common occurrence is 2²

Therefore, GCD of 268, 736, 892 is 4.

Given numbers are 268, 736, 892

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(268, 736) = 49312

GCD(268, 736) = ( 268 x 736 ) / 49312

= 268 / 736

= 268

Step2:

LCM(4, 892) = 892

GCD(4, 892) = ( 4 x 892 ) / 892

= 4 / 892

= 4

So, Greatest Common Divisor of 268, 736, 892 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 325, 280
• GCD of 933, 921, 269
• GCD of 515, 968, 930
• GCD of 718, 691, 180
• GCD of 669, 260, 441

Given numbers are 268, 736, 892
The greatest common divisor of numbers 268, 736, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 736, 892 is 4.

1. What is the GCD of 268, 736, 892?

GCD of given numbers 268, 736, 892 is 4

2. How to calculate the greatest common divisor of 268, 736, 892?

We can find the highest common divisor of 268, 736, 892 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 268, 736, 892 i.e 4.

3. How can I use the GCD of 268, 736, 892Calculator?

Out the numbers 268, 736, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.