GCD of 676, 524, 630, 180 Calculator

Given Input numbers are 676, 524, 630, 180

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

Divisors of 676 :

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

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (676, 524, 630, 180) = 2.

Given numbers are 676, 524, 630, 180

The list of prime factors of all numbers are

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

Prime factors of 524 are 2 x 2 x 131

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 676, 524, 630, 180 is 2.

Given numbers are 676, 524, 630, 180

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

Apply this formula for all numbers.

Step1:

LCM(676, 524) = 88556

GCD(676, 524) = ( 676 x 524 ) / 88556

= 676 / 524

= 676

Step2:

LCM(4, 630) = 1260

GCD(4, 630) = ( 4 x 630 ) / 1260

= 4 / 630

= 4

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 676, 524, 630, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 542, 306, 660
• GCD of 698, 191, 893, 599
• GCD of 750, 113, 822, 139
• GCD of 726, 153, 438, 232
• GCD of 298, 214, 253, 995

Given numbers are 676, 524, 630, 180
The greatest common divisor of numbers 676, 524, 630, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 524, 630, 180 is 2.

1. What is the GCD of 676, 524, 630, 180?

GCD of given numbers 676, 524, 630, 180 is 2

2. How to calculate the greatest common divisor of 676, 524, 630, 180?

We can find the highest common divisor of 676, 524, 630, 180 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 676, 524, 630, 180 i.e 2.

3. How can I use the GCD of 676, 524, 630, 180Calculator?

Out the numbers 676, 524, 630, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.