GCD of 312, 142, 657, 625 Calculator

Given Input numbers are 312, 142, 657, 625

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

GCD of numbers is the greatest common divisor

So, the GCD (312, 142, 657, 625) = 1.

Given numbers are 312, 142, 657, 625

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 142 are 2 x 71

Prime factors of 657 are 3 x 3 x 73

Prime factors of 625 are 5 x 5 x 5 x 5

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

Given numbers are 312, 142, 657, 625

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

Apply this formula for all numbers.

Step1:

LCM(312, 142) = 22152

GCD(312, 142) = ( 312 x 142 ) / 22152

= 312 / 142

= 312

Step2:

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

= 2 / 657

= 2

Step3:

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

= 1 / 625

= 1

So, Greatest Common Divisor of 312, 142, 657, 625 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 198, 141, 488
• GCD of 419, 774, 841, 673
• GCD of 796, 327, 824, 388
• GCD of 810, 509, 329, 997
• GCD of 685, 401, 730, 923

Given numbers are 312, 142, 657, 625
The greatest common divisor of numbers 312, 142, 657, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 142, 657, 625 is 1.

1. What is the GCD of 312, 142, 657, 625?

GCD of given numbers 312, 142, 657, 625 is 1

2. How to calculate the greatest common divisor of 312, 142, 657, 625?

We can find the highest common divisor of 312, 142, 657, 625 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 312, 142, 657, 625 i.e 1.

3. How can I use the GCD of 312, 142, 657, 625Calculator?

Out the numbers 312, 142, 657, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.