GCD of 970, 512, 731, 131 Calculator

Given Input numbers are 970, 512, 731, 131

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 512 :

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

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

GCD of numbers is the greatest common divisor

So, the GCD (970, 512, 731, 131) = 1.

Given numbers are 970, 512, 731, 131

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

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 731 are 17 x 43

Prime factors of 131 are 131

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 970, 512, 731, 131

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

Apply this formula for all numbers.

Step1:

LCM(970, 512) = 248320

GCD(970, 512) = ( 970 x 512 ) / 248320

= 970 / 512

= 970

Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

So, Greatest Common Divisor of 970, 512, 731, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 835, 592, 292
• GCD of 762, 740, 485, 346
• GCD of 899, 684, 174, 478
• GCD of 243, 423, 759, 566
• GCD of 448, 852, 873, 594

Given numbers are 970, 512, 731, 131
The greatest common divisor of numbers 970, 512, 731, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 512, 731, 131 is 1.

1. What is the GCD of 970, 512, 731, 131?

GCD of given numbers 970, 512, 731, 131 is 1

2. How to calculate the greatest common divisor of 970, 512, 731, 131?

We can find the highest common divisor of 970, 512, 731, 131 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, 512, 731, 131 i.e 1.

3. How can I use the GCD of 970, 512, 731, 131Calculator?

Out the numbers 970, 512, 731, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.