GCD of 938, 820, 726, 790 Calculator

Given Input numbers are 938, 820, 726, 790

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

GCD of numbers is the greatest common divisor

So, the GCD (938, 820, 726, 790) = 2.

Given numbers are 938, 820, 726, 790

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 2¹

Therefore, GCD of 938, 820, 726, 790 is 2.

Given numbers are 938, 820, 726, 790

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

Apply this formula for all numbers.

Step1:

LCM(938, 820) = 384580

GCD(938, 820) = ( 938 x 820 ) / 384580

= 938 / 820

= 938

Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

Step3:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

So, Greatest Common Divisor of 938, 820, 726, 790 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 878, 614, 459
• GCD of 196, 577, 236, 870
• GCD of 627, 272, 661, 310
• GCD of 498, 493, 133, 324
• GCD of 807, 395, 547, 496

Given numbers are 938, 820, 726, 790
The greatest common divisor of numbers 938, 820, 726, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 820, 726, 790 is 2.

1. What is the GCD of 938, 820, 726, 790?

GCD of given numbers 938, 820, 726, 790 is 2

2. How to calculate the greatest common divisor of 938, 820, 726, 790?

We can find the highest common divisor of 938, 820, 726, 790 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, 820, 726, 790 i.e 2.

3. How can I use the GCD of 938, 820, 726, 790Calculator?

Out the numbers 938, 820, 726, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.