GCD of 680, 736, 354, 644 Calculator

Given Input numbers are 680, 736, 354, 644

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (680, 736, 354, 644) = 2.

Given numbers are 680, 736, 354, 644

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 354 are 2 x 3 x 59

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 680, 736, 354, 644 is 2.

Given numbers are 680, 736, 354, 644

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

Apply this formula for all numbers.

Step1:

LCM(680, 736) = 62560

GCD(680, 736) = ( 680 x 736 ) / 62560

= 680 / 736

= 680

Step2:

LCM(8, 354) = 1416

GCD(8, 354) = ( 8 x 354 ) / 1416

= 8 / 354

= 8

Step3:

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

= 2 / 644

= 2

So, Greatest Common Divisor of 680, 736, 354, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 546, 548, 155
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• GCD of 793, 318, 164, 887
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• GCD of 640, 615, 574, 284

Given numbers are 680, 736, 354, 644
The greatest common divisor of numbers 680, 736, 354, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 736, 354, 644 is 2.

1. What is the GCD of 680, 736, 354, 644?

GCD of given numbers 680, 736, 354, 644 is 2

2. How to calculate the greatest common divisor of 680, 736, 354, 644?

We can find the highest common divisor of 680, 736, 354, 644 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 680, 736, 354, 644 i.e 2.

3. How can I use the GCD of 680, 736, 354, 644Calculator?

Out the numbers 680, 736, 354, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.