GCD of 378, 516, 310, 938 Calculator

Given Input numbers are 378, 516, 310, 938

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 938 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (378, 516, 310, 938) = 2.

Given numbers are 378, 516, 310, 938

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 310 are 2 x 5 x 31

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 378, 516, 310, 938 is 2.

Given numbers are 378, 516, 310, 938

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

Apply this formula for all numbers.

Step1:

LCM(378, 516) = 32508

GCD(378, 516) = ( 378 x 516 ) / 32508

= 378 / 516

= 378

Step2:

LCM(6, 310) = 930

GCD(6, 310) = ( 6 x 310 ) / 930

= 6 / 310

= 6

Step3:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 378, 516, 310, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 606, 513, 476
• GCD of 269, 669, 232, 291
• GCD of 286, 797, 103, 439
• GCD of 325, 922, 908, 294
• GCD of 860, 591, 383, 616

Given numbers are 378, 516, 310, 938
The greatest common divisor of numbers 378, 516, 310, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 516, 310, 938 is 2.

1. What is the GCD of 378, 516, 310, 938?

GCD of given numbers 378, 516, 310, 938 is 2

2. How to calculate the greatest common divisor of 378, 516, 310, 938?

We can find the highest common divisor of 378, 516, 310, 938 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 378, 516, 310, 938 i.e 2.

3. How can I use the GCD of 378, 516, 310, 938Calculator?

Out the numbers 378, 516, 310, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.