GCD of 901, 635, 748, 960 Calculator

Given Input numbers are 901, 635, 748, 960

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

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (901, 635, 748, 960) = 1.

Given numbers are 901, 635, 748, 960

The list of prime factors of all numbers are

Prime factors of 901 are 17 x 53

Prime factors of 635 are 5 x 127

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 901, 635, 748, 960

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

Apply this formula for all numbers.

Step1:

LCM(901, 635) = 572135

GCD(901, 635) = ( 901 x 635 ) / 572135

= 901 / 635

= 901

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 901, 635, 748, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 226, 568, 902
• GCD of 336, 533, 181, 518
• GCD of 272, 706, 420, 551
• GCD of 712, 487, 495, 456
• GCD of 163, 990, 588, 995

Given numbers are 901, 635, 748, 960
The greatest common divisor of numbers 901, 635, 748, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 901, 635, 748, 960 is 1.

1. What is the GCD of 901, 635, 748, 960?

GCD of given numbers 901, 635, 748, 960 is 1

2. How to calculate the greatest common divisor of 901, 635, 748, 960?

We can find the highest common divisor of 901, 635, 748, 960 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 901, 635, 748, 960 i.e 1.

3. How can I use the GCD of 901, 635, 748, 960Calculator?

Out the numbers 901, 635, 748, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.