GCD of 748, 162, 653, 961 Calculator

Given Input numbers are 748, 162, 653, 961

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (748, 162, 653, 961) = 1.

Given numbers are 748, 162, 653, 961

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 653 are 653

Prime factors of 961 are 31 x 31

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

Given numbers are 748, 162, 653, 961

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

Apply this formula for all numbers.

Step1:

LCM(748, 162) = 60588

GCD(748, 162) = ( 748 x 162 ) / 60588

= 748 / 162

= 748

Step2:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 748, 162, 653, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 615, 343, 733
• GCD of 407, 691, 292, 972
• GCD of 179, 121, 905, 935
• GCD of 193, 994, 330, 312
• GCD of 520, 740, 635, 978

Given numbers are 748, 162, 653, 961
The greatest common divisor of numbers 748, 162, 653, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 162, 653, 961 is 1.

1. What is the GCD of 748, 162, 653, 961?

GCD of given numbers 748, 162, 653, 961 is 1

2. How to calculate the greatest common divisor of 748, 162, 653, 961?

We can find the highest common divisor of 748, 162, 653, 961 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 748, 162, 653, 961 i.e 1.

3. How can I use the GCD of 748, 162, 653, 961Calculator?

Out the numbers 748, 162, 653, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.