GCD of 676, 616, 782, 991 Calculator

Given Input numbers are 676, 616, 782, 991

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (676, 616, 782, 991) = 1.

Given numbers are 676, 616, 782, 991

The list of prime factors of all numbers are

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

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 782 are 2 x 17 x 23

Prime factors of 991 are 991

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

Given numbers are 676, 616, 782, 991

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

Apply this formula for all numbers.

Step1:

LCM(676, 616) = 104104

GCD(676, 616) = ( 676 x 616 ) / 104104

= 676 / 616

= 676

Step2:

LCM(4, 782) = 1564

GCD(4, 782) = ( 4 x 782 ) / 1564

= 4 / 782

= 4

Step3:

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

= 2 / 991

= 2

So, Greatest Common Divisor of 676, 616, 782, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 875, 409, 504
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• GCD of 455, 367, 613, 611
• GCD of 684, 453, 464, 267

Given numbers are 676, 616, 782, 991
The greatest common divisor of numbers 676, 616, 782, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 616, 782, 991 is 1.

1. What is the GCD of 676, 616, 782, 991?

GCD of given numbers 676, 616, 782, 991 is 1

2. How to calculate the greatest common divisor of 676, 616, 782, 991?

We can find the highest common divisor of 676, 616, 782, 991 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, 616, 782, 991 i.e 1.

3. How can I use the GCD of 676, 616, 782, 991Calculator?

Out the numbers 676, 616, 782, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.