GCD of 827, 642, 763, 721 Calculator

Given Input numbers are 827, 642, 763, 721

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (827, 642, 763, 721) = 1.

Given numbers are 827, 642, 763, 721

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 642 are 2 x 3 x 107

Prime factors of 763 are 7 x 109

Prime factors of 721 are 7 x 103

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

Given numbers are 827, 642, 763, 721

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

Apply this formula for all numbers.

Step1:

LCM(827, 642) = 530934

GCD(827, 642) = ( 827 x 642 ) / 530934

= 827 / 642

= 827

Step2:

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

= 1 / 763

= 1

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 827, 642, 763, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 794, 691, 610
• GCD of 105, 103, 660, 302
• GCD of 645, 868, 678, 282
• GCD of 749, 145, 179, 734
• GCD of 759, 380, 658, 985

Given numbers are 827, 642, 763, 721
The greatest common divisor of numbers 827, 642, 763, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 642, 763, 721 is 1.

1. What is the GCD of 827, 642, 763, 721?

GCD of given numbers 827, 642, 763, 721 is 1

2. How to calculate the greatest common divisor of 827, 642, 763, 721?

We can find the highest common divisor of 827, 642, 763, 721 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 827, 642, 763, 721 i.e 1.

3. How can I use the GCD of 827, 642, 763, 721Calculator?

Out the numbers 827, 642, 763, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.