GCD of 825, 961, 424, 758 Calculator

Given Input numbers are 825, 961, 424, 758

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 961 :

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

1, 31, 961

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (825, 961, 424, 758) = 1.

Given numbers are 825, 961, 424, 758

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 961 are 31 x 31

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 758 are 2 x 379

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

Given numbers are 825, 961, 424, 758

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

Apply this formula for all numbers.

Step1:

LCM(825, 961) = 792825

GCD(825, 961) = ( 825 x 961 ) / 792825

= 825 / 961

= 825

Step2:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

Step3:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1

So, Greatest Common Divisor of 825, 961, 424, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 207, 343, 849
• GCD of 965, 861, 428, 767
• GCD of 798, 264, 322, 710
• GCD of 855, 879, 883, 878
• GCD of 126, 214, 967, 992

Given numbers are 825, 961, 424, 758
The greatest common divisor of numbers 825, 961, 424, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 961, 424, 758 is 1.

1. What is the GCD of 825, 961, 424, 758?

GCD of given numbers 825, 961, 424, 758 is 1

2. How to calculate the greatest common divisor of 825, 961, 424, 758?

We can find the highest common divisor of 825, 961, 424, 758 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 825, 961, 424, 758 i.e 1.

3. How can I use the GCD of 825, 961, 424, 758Calculator?

Out the numbers 825, 961, 424, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.