GCD of 938, 512, 422, 702 Calculator

Given Input numbers are 938, 512, 422, 702

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 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (938, 512, 422, 702) = 2.

Given numbers are 938, 512, 422, 702

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 422 are 2 x 211

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 938, 512, 422, 702 is 2.

Given numbers are 938, 512, 422, 702

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

Apply this formula for all numbers.

Step1:

LCM(938, 512) = 240128

GCD(938, 512) = ( 938 x 512 ) / 240128

= 938 / 512

= 938

Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 938, 512, 422, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 621, 823, 603
• GCD of 685, 117, 909, 705
• GCD of 860, 761, 260, 956
• GCD of 204, 533, 680, 736
• GCD of 663, 980, 321, 126

Given numbers are 938, 512, 422, 702
The greatest common divisor of numbers 938, 512, 422, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 512, 422, 702 is 2.

1. What is the GCD of 938, 512, 422, 702?

GCD of given numbers 938, 512, 422, 702 is 2

2. How to calculate the greatest common divisor of 938, 512, 422, 702?

We can find the highest common divisor of 938, 512, 422, 702 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, 512, 422, 702 i.e 2.

3. How can I use the GCD of 938, 512, 422, 702Calculator?

Out the numbers 938, 512, 422, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.