GCD of 274, 918, 752, 676 Calculator

Given Input numbers are 274, 918, 752, 676

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (274, 918, 752, 676) = 2.

Given numbers are 274, 918, 752, 676

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 274, 918, 752, 676 is 2.

Given numbers are 274, 918, 752, 676

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

Apply this formula for all numbers.

Step1:

LCM(274, 918) = 125766

GCD(274, 918) = ( 274 x 918 ) / 125766

= 274 / 918

= 274

Step2:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 274, 918, 752, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 798, 645, 420
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Given numbers are 274, 918, 752, 676
The greatest common divisor of numbers 274, 918, 752, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 918, 752, 676 is 2.

1. What is the GCD of 274, 918, 752, 676?

GCD of given numbers 274, 918, 752, 676 is 2

2. How to calculate the greatest common divisor of 274, 918, 752, 676?

We can find the highest common divisor of 274, 918, 752, 676 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, 918, 752, 676 i.e 2.

3. How can I use the GCD of 274, 918, 752, 676Calculator?

Out the numbers 274, 918, 752, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.