GCD of 160, 108, 634, 676 Calculator

Given Input numbers are 160, 108, 634, 676

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (160, 108, 634, 676) = 2.

Given numbers are 160, 108, 634, 676

The list of prime factors of all numbers are

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 634 are 2 x 317

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 160, 108, 634, 676 is 2.

Given numbers are 160, 108, 634, 676

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

Apply this formula for all numbers.

Step1:

LCM(160, 108) = 4320

GCD(160, 108) = ( 160 x 108 ) / 4320

= 160 / 108

= 160

Step2:

LCM(4, 634) = 1268

GCD(4, 634) = ( 4 x 634 ) / 1268

= 4 / 634

= 4

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 160, 108, 634, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 738, 306, 863
• GCD of 889, 975, 362, 966
• GCD of 285, 689, 610, 348
• GCD of 307, 151, 341, 342
• GCD of 272, 984, 315, 120

Given numbers are 160, 108, 634, 676
The greatest common divisor of numbers 160, 108, 634, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 108, 634, 676 is 2.

1. What is the GCD of 160, 108, 634, 676?

GCD of given numbers 160, 108, 634, 676 is 2

2. How to calculate the greatest common divisor of 160, 108, 634, 676?

We can find the highest common divisor of 160, 108, 634, 676 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 160, 108, 634, 676 i.e 2.

3. How can I use the GCD of 160, 108, 634, 676Calculator?

Out the numbers 160, 108, 634, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.