GCD of 112, 635, 684, 160 Calculator

Given Input numbers are 112, 635, 684, 160

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 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (112, 635, 684, 160) = 1.

Given numbers are 112, 635, 684, 160

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 635 are 5 x 127

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 112, 635, 684, 160

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

Apply this formula for all numbers.

Step1:

LCM(112, 635) = 71120

GCD(112, 635) = ( 112 x 635 ) / 71120

= 112 / 635

= 112

Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

Step3:

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

= 1 / 160

= 1

So, Greatest Common Divisor of 112, 635, 684, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 120, 800, 778
• GCD of 838, 540, 989, 310
• GCD of 613, 259, 157, 970
• GCD of 697, 130, 505, 793
• GCD of 287, 224, 689, 316

Given numbers are 112, 635, 684, 160
The greatest common divisor of numbers 112, 635, 684, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 635, 684, 160 is 1.

1. What is the GCD of 112, 635, 684, 160?

GCD of given numbers 112, 635, 684, 160 is 1

2. How to calculate the greatest common divisor of 112, 635, 684, 160?

We can find the highest common divisor of 112, 635, 684, 160 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, 635, 684, 160 i.e 1.

3. How can I use the GCD of 112, 635, 684, 160Calculator?

Out the numbers 112, 635, 684, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.