GCD of 113, 119, 772, 825 Calculator

Given Input numbers are 113, 119, 772, 825

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

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

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

GCD of numbers is the greatest common divisor

So, the GCD (113, 119, 772, 825) = 1.

Given numbers are 113, 119, 772, 825

The list of prime factors of all numbers are

Prime factors of 113 are 113

Prime factors of 119 are 7 x 17

Prime factors of 772 are 2 x 2 x 193

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

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

Given numbers are 113, 119, 772, 825

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

Apply this formula for all numbers.

Step1:

LCM(113, 119) = 13447

GCD(113, 119) = ( 113 x 119 ) / 13447

= 113 / 119

= 113

Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 113, 119, 772, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 705, 509, 802
• GCD of 929, 129, 511, 881
• GCD of 874, 543, 769, 487
• GCD of 455, 361, 521, 828
• GCD of 457, 372, 869, 856

Given numbers are 113, 119, 772, 825
The greatest common divisor of numbers 113, 119, 772, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 113, 119, 772, 825 is 1.

1. What is the GCD of 113, 119, 772, 825?

GCD of given numbers 113, 119, 772, 825 is 1

2. How to calculate the greatest common divisor of 113, 119, 772, 825?

We can find the highest common divisor of 113, 119, 772, 825 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 113, 119, 772, 825 i.e 1.

3. How can I use the GCD of 113, 119, 772, 825Calculator?

Out the numbers 113, 119, 772, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.