GCD of 676, 289, 739, 940 Calculator

Given Input numbers are 676, 289, 739, 940

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (676, 289, 739, 940) = 1.

Given numbers are 676, 289, 739, 940

The list of prime factors of all numbers are

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

Prime factors of 289 are 17 x 17

Prime factors of 739 are 739

Prime factors of 940 are 2 x 2 x 5 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 676, 289, 739, 940

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

Apply this formula for all numbers.

Step1:

LCM(676, 289) = 195364

GCD(676, 289) = ( 676 x 289 ) / 195364

= 676 / 289

= 676

Step2:

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

= 1 / 739

= 1

Step3:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

So, Greatest Common Divisor of 676, 289, 739, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 730, 338, 550
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• GCD of 968, 889, 365, 607

Given numbers are 676, 289, 739, 940
The greatest common divisor of numbers 676, 289, 739, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 289, 739, 940 is 1.

1. What is the GCD of 676, 289, 739, 940?

GCD of given numbers 676, 289, 739, 940 is 1

2. How to calculate the greatest common divisor of 676, 289, 739, 940?

We can find the highest common divisor of 676, 289, 739, 940 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, 289, 739, 940 i.e 1.

3. How can I use the GCD of 676, 289, 739, 940Calculator?

Out the numbers 676, 289, 739, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.