GCD of 901, 832, 724, 748 Calculator

Given Input numbers are 901, 832, 724, 748

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 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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

GCD of numbers is the greatest common divisor

So, the GCD (901, 832, 724, 748) = 1.

Given numbers are 901, 832, 724, 748

The list of prime factors of all numbers are

Prime factors of 901 are 17 x 53

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 724 are 2 x 2 x 181

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

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

Given numbers are 901, 832, 724, 748

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

Apply this formula for all numbers.

Step1:

LCM(901, 832) = 749632

GCD(901, 832) = ( 901 x 832 ) / 749632

= 901 / 832

= 901

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 901, 832, 724, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 675, 655, 750
• GCD of 299, 486, 680, 825
• GCD of 990, 457, 974, 323
• GCD of 126, 514, 709, 119
• GCD of 156, 571, 425, 148

Given numbers are 901, 832, 724, 748
The greatest common divisor of numbers 901, 832, 724, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 901, 832, 724, 748 is 1.

1. What is the GCD of 901, 832, 724, 748?

GCD of given numbers 901, 832, 724, 748 is 1

2. How to calculate the greatest common divisor of 901, 832, 724, 748?

We can find the highest common divisor of 901, 832, 724, 748 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, 832, 724, 748 i.e 1.

3. How can I use the GCD of 901, 832, 724, 748Calculator?

Out the numbers 901, 832, 724, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.