GCD of 761, 689, 825, 118 Calculator

Given Input numbers are 761, 689, 825, 118

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

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (761, 689, 825, 118) = 1.

Given numbers are 761, 689, 825, 118

The list of prime factors of all numbers are

Prime factors of 761 are 761

Prime factors of 689 are 13 x 53

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

Prime factors of 118 are 2 x 59

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

Given numbers are 761, 689, 825, 118

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

Apply this formula for all numbers.

Step1:

LCM(761, 689) = 524329

GCD(761, 689) = ( 761 x 689 ) / 524329

= 761 / 689

= 761

Step2:

LCM(1, 825) = 825

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

= 1 / 825

= 1

Step3:

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

= 1 / 118

= 1

So, Greatest Common Divisor of 761, 689, 825, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 678, 136, 630
• GCD of 225, 780, 213, 828
• GCD of 681, 721, 608, 566
• GCD of 711, 607, 511, 171
• GCD of 246, 116, 803, 505

Given numbers are 761, 689, 825, 118
The greatest common divisor of numbers 761, 689, 825, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 761, 689, 825, 118 is 1.

1. What is the GCD of 761, 689, 825, 118?

GCD of given numbers 761, 689, 825, 118 is 1

2. How to calculate the greatest common divisor of 761, 689, 825, 118?

We can find the highest common divisor of 761, 689, 825, 118 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 761, 689, 825, 118 i.e 1.

3. How can I use the GCD of 761, 689, 825, 118Calculator?

Out the numbers 761, 689, 825, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.