GCD of 400, 970, 922, 138 Calculator

Given Input numbers are 400, 970, 922, 138

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (400, 970, 922, 138) = 2.

Given numbers are 400, 970, 922, 138

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 970 are 2 x 5 x 97

Prime factors of 922 are 2 x 461

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 400, 970, 922, 138 is 2.

Given numbers are 400, 970, 922, 138

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

Apply this formula for all numbers.

Step1:

LCM(400, 970) = 38800

GCD(400, 970) = ( 400 x 970 ) / 38800

= 400 / 970

= 400

Step2:

LCM(10, 922) = 4610

GCD(10, 922) = ( 10 x 922 ) / 4610

= 10 / 922

= 10

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 400, 970, 922, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 949, 522, 717
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Given numbers are 400, 970, 922, 138
The greatest common divisor of numbers 400, 970, 922, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 970, 922, 138 is 2.

1. What is the GCD of 400, 970, 922, 138?

GCD of given numbers 400, 970, 922, 138 is 2

2. How to calculate the greatest common divisor of 400, 970, 922, 138?

We can find the highest common divisor of 400, 970, 922, 138 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 400, 970, 922, 138 i.e 2.

3. How can I use the GCD of 400, 970, 922, 138Calculator?

Out the numbers 400, 970, 922, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.