GCD of 676, 380, 538, 660 Calculator

Given Input numbers are 676, 380, 538, 660

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (676, 380, 538, 660) = 2.

Given numbers are 676, 380, 538, 660

The list of prime factors of all numbers are

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

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 538 are 2 x 269

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 676, 380, 538, 660 is 2.

Given numbers are 676, 380, 538, 660

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

Apply this formula for all numbers.

Step1:

LCM(676, 380) = 64220

GCD(676, 380) = ( 676 x 380 ) / 64220

= 676 / 380

= 676

Step2:

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

= 4 / 538

= 4

Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

So, Greatest Common Divisor of 676, 380, 538, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 892, 303, 420
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• GCD of 674, 802, 827, 818
• GCD of 779, 722, 724, 243
• GCD of 907, 490, 195, 479

Given numbers are 676, 380, 538, 660
The greatest common divisor of numbers 676, 380, 538, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 380, 538, 660 is 2.

1. What is the GCD of 676, 380, 538, 660?

GCD of given numbers 676, 380, 538, 660 is 2

2. How to calculate the greatest common divisor of 676, 380, 538, 660?

We can find the highest common divisor of 676, 380, 538, 660 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, 380, 538, 660 i.e 2.

3. How can I use the GCD of 676, 380, 538, 660Calculator?

Out the numbers 676, 380, 538, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.