GCD of 957, 142, 735, 180 Calculator

Given Input numbers are 957, 142, 735, 180

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

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (957, 142, 735, 180) = 1.

Given numbers are 957, 142, 735, 180

The list of prime factors of all numbers are

Prime factors of 957 are 3 x 11 x 29

Prime factors of 142 are 2 x 71

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 957, 142, 735, 180

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

Apply this formula for all numbers.

Step1:

LCM(957, 142) = 135894

GCD(957, 142) = ( 957 x 142 ) / 135894

= 957 / 142

= 957

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 957, 142, 735, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 258, 108, 299
• GCD of 946, 615, 823, 369
• GCD of 390, 849, 627, 489
• GCD of 831, 142, 783, 730
• GCD of 909, 524, 717, 533

Given numbers are 957, 142, 735, 180
The greatest common divisor of numbers 957, 142, 735, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 142, 735, 180 is 1.

1. What is the GCD of 957, 142, 735, 180?

GCD of given numbers 957, 142, 735, 180 is 1

2. How to calculate the greatest common divisor of 957, 142, 735, 180?

We can find the highest common divisor of 957, 142, 735, 180 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 957, 142, 735, 180 i.e 1.

3. How can I use the GCD of 957, 142, 735, 180Calculator?

Out the numbers 957, 142, 735, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.