GCD of 112, 959, 684, 661 Calculator

Given Input numbers are 112, 959, 684, 661

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

GCD of numbers is the greatest common divisor

So, the GCD (112, 959, 684, 661) = 1.

Given numbers are 112, 959, 684, 661

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 959 are 7 x 137

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 661 are 661

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

Given numbers are 112, 959, 684, 661

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

Apply this formula for all numbers.

Step1:

LCM(112, 959) = 15344

GCD(112, 959) = ( 112 x 959 ) / 15344

= 112 / 959

= 112

Step2:

LCM(7, 684) = 4788

GCD(7, 684) = ( 7 x 684 ) / 4788

= 7 / 684

= 7

Step3:

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

= 1 / 661

= 1

So, Greatest Common Divisor of 112, 959, 684, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 377, 487, 341
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• GCD of 232, 971, 377, 162

Given numbers are 112, 959, 684, 661
The greatest common divisor of numbers 112, 959, 684, 661 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 959, 684, 661 is 1.

1. What is the GCD of 112, 959, 684, 661?

GCD of given numbers 112, 959, 684, 661 is 1

2. How to calculate the greatest common divisor of 112, 959, 684, 661?

We can find the highest common divisor of 112, 959, 684, 661 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 112, 959, 684, 661 i.e 1.

3. How can I use the GCD of 112, 959, 684, 661Calculator?

Out the numbers 112, 959, 684, 661 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.