GCD of 686, 672, 540, 156 Calculator

Given Input numbers are 686, 672, 540, 156

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (686, 672, 540, 156) = 2.

Given numbers are 686, 672, 540, 156

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 686, 672, 540, 156 is 2.

Given numbers are 686, 672, 540, 156

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

Apply this formula for all numbers.

Step1:

LCM(686, 672) = 32928

GCD(686, 672) = ( 686 x 672 ) / 32928

= 686 / 672

= 686

Step2:

LCM(14, 540) = 3780

GCD(14, 540) = ( 14 x 540 ) / 3780

= 14 / 540

= 14

Step3:

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

= 2 / 156

= 2

So, Greatest Common Divisor of 686, 672, 540, 156 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 913, 796, 377
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Given numbers are 686, 672, 540, 156
The greatest common divisor of numbers 686, 672, 540, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 672, 540, 156 is 2.

1. What is the GCD of 686, 672, 540, 156?

GCD of given numbers 686, 672, 540, 156 is 2

2. How to calculate the greatest common divisor of 686, 672, 540, 156?

We can find the highest common divisor of 686, 672, 540, 156 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 686, 672, 540, 156 i.e 2.

3. How can I use the GCD of 686, 672, 540, 156Calculator?

Out the numbers 686, 672, 540, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.