GCD of 825, 580, 107, 758 Calculator

Given Input numbers are 825, 580, 107, 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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

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, 580, 107, 758) = 1.

Given numbers are 825, 580, 107, 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 580 are 2 x 2 x 5 x 29

Prime factors of 107 are 107

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, 580, 107, 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, 580) = 95700

GCD(825, 580) = ( 825 x 580 ) / 95700

= 825 / 580

= 825

Step2:

LCM(5, 107) = 535

GCD(5, 107) = ( 5 x 107 ) / 535

= 5 / 107

= 5

Step3:

LCM(1, 758) = 758

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

= 1 / 758

= 1

So, Greatest Common Divisor of 825, 580, 107, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 554, 104, 668
• GCD of 814, 107, 118, 904
• GCD of 192, 427, 576, 805
• GCD of 810, 364, 534, 542
• GCD of 836, 399, 144, 937

Given numbers are 825, 580, 107, 758
The greatest common divisor of numbers 825, 580, 107, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 580, 107, 758 is 1.

1. What is the GCD of 825, 580, 107, 758?

GCD of given numbers 825, 580, 107, 758 is 1

2. How to calculate the greatest common divisor of 825, 580, 107, 758?

We can find the highest common divisor of 825, 580, 107, 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, 580, 107, 758 i.e 1.

3. How can I use the GCD of 825, 580, 107, 758Calculator?

Out the numbers 825, 580, 107, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.