GCD of 938, 656, 438, 274 Calculator

Given Input numbers are 938, 656, 438, 274

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 274 :

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

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (938, 656, 438, 274) = 2.

Given numbers are 938, 656, 438, 274

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 438 are 2 x 3 x 73

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 938, 656, 438, 274 is 2.

Given numbers are 938, 656, 438, 274

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

Apply this formula for all numbers.

Step1:

LCM(938, 656) = 307664

GCD(938, 656) = ( 938 x 656 ) / 307664

= 938 / 656

= 938

Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 938, 656, 438, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 329, 470, 433
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• GCD of 518, 426, 151, 259
• GCD of 539, 604, 689, 118
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Given numbers are 938, 656, 438, 274
The greatest common divisor of numbers 938, 656, 438, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 656, 438, 274 is 2.

1. What is the GCD of 938, 656, 438, 274?

GCD of given numbers 938, 656, 438, 274 is 2

2. How to calculate the greatest common divisor of 938, 656, 438, 274?

We can find the highest common divisor of 938, 656, 438, 274 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 938, 656, 438, 274 i.e 2.

3. How can I use the GCD of 938, 656, 438, 274Calculator?

Out the numbers 938, 656, 438, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.