GCD of 676, 112, 759, 398 Calculator

Given Input numbers are 676, 112, 759, 398

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (676, 112, 759, 398) = 1.

Given numbers are 676, 112, 759, 398

The list of prime factors of all numbers are

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

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 759 are 3 x 11 x 23

Prime factors of 398 are 2 x 199

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

Given numbers are 676, 112, 759, 398

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

Apply this formula for all numbers.

Step1:

LCM(676, 112) = 18928

GCD(676, 112) = ( 676 x 112 ) / 18928

= 676 / 112

= 676

Step2:

LCM(4, 759) = 3036

GCD(4, 759) = ( 4 x 759 ) / 3036

= 4 / 759

= 4

Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 676, 112, 759, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 197, 350, 431
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• GCD of 537, 918, 288, 272
• GCD of 358, 901, 609, 451
• GCD of 864, 581, 801, 877

Given numbers are 676, 112, 759, 398
The greatest common divisor of numbers 676, 112, 759, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 112, 759, 398 is 1.

1. What is the GCD of 676, 112, 759, 398?

GCD of given numbers 676, 112, 759, 398 is 1

2. How to calculate the greatest common divisor of 676, 112, 759, 398?

We can find the highest common divisor of 676, 112, 759, 398 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, 112, 759, 398 i.e 1.

3. How can I use the GCD of 676, 112, 759, 398Calculator?

Out the numbers 676, 112, 759, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.