GCD of 872, 271, 946, 676 Calculator

Given Input numbers are 872, 271, 946, 676

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 271 :

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

1, 271

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

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 (872, 271, 946, 676) = 1.

Given numbers are 872, 271, 946, 676

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 271 are 271

Prime factors of 946 are 2 x 11 x 43

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 872, 271, 946, 676

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

Apply this formula for all numbers.

Step1:

LCM(872, 271) = 236312

GCD(872, 271) = ( 872 x 271 ) / 236312

= 872 / 271

= 872

Step2:

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

= 1 / 946

= 1

Step3:

LCM(1, 676) = 676

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

= 1 / 676

= 1

So, Greatest Common Divisor of 872, 271, 946, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 968, 915, 183
• GCD of 657, 187, 544, 263
• GCD of 689, 145, 675, 163
• GCD of 821, 823, 263, 990
• GCD of 972, 176, 178, 200

Given numbers are 872, 271, 946, 676
The greatest common divisor of numbers 872, 271, 946, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 271, 946, 676 is 1.

1. What is the GCD of 872, 271, 946, 676?

GCD of given numbers 872, 271, 946, 676 is 1

2. How to calculate the greatest common divisor of 872, 271, 946, 676?

We can find the highest common divisor of 872, 271, 946, 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 872, 271, 946, 676 i.e 1.

3. How can I use the GCD of 872, 271, 946, 676Calculator?

Out the numbers 872, 271, 946, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.