GCD of 674, 268, 188, 660 Calculator

Given Input numbers are 674, 268, 188, 660

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

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 (674, 268, 188, 660) = 2.

Given numbers are 674, 268, 188, 660

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 268 are 2 x 2 x 67

Prime factors of 188 are 2 x 2 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 674, 268, 188, 660 is 2.

Given numbers are 674, 268, 188, 660

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

Apply this formula for all numbers.

Step1:

LCM(674, 268) = 90316

GCD(674, 268) = ( 674 x 268 ) / 90316

= 674 / 268

= 674

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 660) = 660

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

= 2 / 660

= 2

So, Greatest Common Divisor of 674, 268, 188, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 825, 592, 106
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Given numbers are 674, 268, 188, 660
The greatest common divisor of numbers 674, 268, 188, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 268, 188, 660 is 2.

1. What is the GCD of 674, 268, 188, 660?

GCD of given numbers 674, 268, 188, 660 is 2

2. How to calculate the greatest common divisor of 674, 268, 188, 660?

We can find the highest common divisor of 674, 268, 188, 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 674, 268, 188, 660 i.e 2.

3. How can I use the GCD of 674, 268, 188, 660Calculator?

Out the numbers 674, 268, 188, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.