GCD of 970, 378, 140, 138 Calculator

Given Input numbers are 970, 378, 140, 138

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

Divisors of 970 :

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

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

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 (970, 378, 140, 138) = 2.

Given numbers are 970, 378, 140, 138

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

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

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 970, 378, 140, 138 is 2.

Given numbers are 970, 378, 140, 138

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

Apply this formula for all numbers.

Step1:

LCM(970, 378) = 183330

GCD(970, 378) = ( 970 x 378 ) / 183330

= 970 / 378

= 970

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

Step3:

LCM(2, 138) = 138

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

= 2 / 138

= 2

So, Greatest Common Divisor of 970, 378, 140, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 155, 902, 997
• GCD of 697, 695, 170, 866
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Given numbers are 970, 378, 140, 138
The greatest common divisor of numbers 970, 378, 140, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 378, 140, 138 is 2.

1. What is the GCD of 970, 378, 140, 138?

GCD of given numbers 970, 378, 140, 138 is 2

2. How to calculate the greatest common divisor of 970, 378, 140, 138?

We can find the highest common divisor of 970, 378, 140, 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 970, 378, 140, 138 i.e 2.

3. How can I use the GCD of 970, 378, 140, 138Calculator?

Out the numbers 970, 378, 140, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.