GCD of 752, 822, 271, 676 Calculator

Given Input numbers are 752, 822, 271, 676

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (752, 822, 271, 676) = 1.

Given numbers are 752, 822, 271, 676

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 822 are 2 x 3 x 137

Prime factors of 271 are 271

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

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

Given numbers are 752, 822, 271, 676

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

Apply this formula for all numbers.

Step1:

LCM(752, 822) = 309072

GCD(752, 822) = ( 752 x 822 ) / 309072

= 752 / 822

= 752

Step2:

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

= 2 / 271

= 2

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 752, 822, 271, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 590, 296, 868
• GCD of 352, 592, 412, 610
• GCD of 179, 601, 135, 770
• GCD of 834, 957, 746, 460
• GCD of 185, 711, 219, 555

Given numbers are 752, 822, 271, 676
The greatest common divisor of numbers 752, 822, 271, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 822, 271, 676 is 1.

1. What is the GCD of 752, 822, 271, 676?

GCD of given numbers 752, 822, 271, 676 is 1

2. How to calculate the greatest common divisor of 752, 822, 271, 676?

We can find the highest common divisor of 752, 822, 271, 676 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 752, 822, 271, 676 i.e 1.

3. How can I use the GCD of 752, 822, 271, 676Calculator?

Out the numbers 752, 822, 271, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.