GCD of 274, 692, 908, 152 Calculator

Given Input numbers are 274, 692, 908, 152

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (274, 692, 908, 152) = 2.

Given numbers are 274, 692, 908, 152

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 692 are 2 x 2 x 173

Prime factors of 908 are 2 x 2 x 227

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 274, 692, 908, 152 is 2.

Given numbers are 274, 692, 908, 152

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

Apply this formula for all numbers.

Step1:

LCM(274, 692) = 94804

GCD(274, 692) = ( 274 x 692 ) / 94804

= 274 / 692

= 274

Step2:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2

Step3:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

So, Greatest Common Divisor of 274, 692, 908, 152 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 417, 484, 896
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• GCD of 253, 195, 343, 477

Given numbers are 274, 692, 908, 152
The greatest common divisor of numbers 274, 692, 908, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 692, 908, 152 is 2.

1. What is the GCD of 274, 692, 908, 152?

GCD of given numbers 274, 692, 908, 152 is 2

2. How to calculate the greatest common divisor of 274, 692, 908, 152?

We can find the highest common divisor of 274, 692, 908, 152 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 274, 692, 908, 152 i.e 2.

3. How can I use the GCD of 274, 692, 908, 152Calculator?

Out the numbers 274, 692, 908, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.