GCD of 118, 682, 900, 461 Calculator

Given Input numbers are 118, 682, 900, 461

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

Divisors of 118 :

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

1, 2, 59, 118

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (118, 682, 900, 461) = 1.

Given numbers are 118, 682, 900, 461

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 682 are 2 x 11 x 31

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 461 are 461

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

Given numbers are 118, 682, 900, 461

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

Apply this formula for all numbers.

Step1:

LCM(118, 682) = 40238

GCD(118, 682) = ( 118 x 682 ) / 40238

= 118 / 682

= 118

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

= 2 / 461

= 2

So, Greatest Common Divisor of 118, 682, 900, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 977, 780, 203
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Given numbers are 118, 682, 900, 461
The greatest common divisor of numbers 118, 682, 900, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 682, 900, 461 is 1.

1. What is the GCD of 118, 682, 900, 461?

GCD of given numbers 118, 682, 900, 461 is 1

2. How to calculate the greatest common divisor of 118, 682, 900, 461?

We can find the highest common divisor of 118, 682, 900, 461 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 118, 682, 900, 461 i.e 1.

3. How can I use the GCD of 118, 682, 900, 461Calculator?

Out the numbers 118, 682, 900, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.