GCD of 938, 686, 294, 876 Calculator

Given Input numbers are 938, 686, 294, 876

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (938, 686, 294, 876) = 2.

Given numbers are 938, 686, 294, 876

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 938, 686, 294, 876 is 2.

Given numbers are 938, 686, 294, 876

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

Apply this formula for all numbers.

Step1:

LCM(938, 686) = 45962

GCD(938, 686) = ( 938 x 686 ) / 45962

= 938 / 686

= 938

Step2:

LCM(14, 294) = 294

GCD(14, 294) = ( 14 x 294 ) / 294

= 14 / 294

= 14

Step3:

LCM(14, 876) = 6132

GCD(14, 876) = ( 14 x 876 ) / 6132

= 14 / 876

= 14

So, Greatest Common Divisor of 938, 686, 294, 876 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 117, 825, 307
• GCD of 262, 173, 119, 608
• GCD of 145, 818, 794, 981
• GCD of 706, 331, 435, 972
• GCD of 128, 447, 764, 188

Given numbers are 938, 686, 294, 876
The greatest common divisor of numbers 938, 686, 294, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 686, 294, 876 is 2.

1. What is the GCD of 938, 686, 294, 876?

GCD of given numbers 938, 686, 294, 876 is 2

2. How to calculate the greatest common divisor of 938, 686, 294, 876?

We can find the highest common divisor of 938, 686, 294, 876 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, 686, 294, 876 i.e 2.

3. How can I use the GCD of 938, 686, 294, 876Calculator?

Out the numbers 938, 686, 294, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.