GCD of 872, 742, 452, 952 Calculator

Given Input numbers are 872, 742, 452, 952

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (872, 742, 452, 952) = 2.

Given numbers are 872, 742, 452, 952

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 452 are 2 x 2 x 113

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 872, 742, 452, 952 is 2.

Given numbers are 872, 742, 452, 952

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

Apply this formula for all numbers.

Step1:

LCM(872, 742) = 323512

GCD(872, 742) = ( 872 x 742 ) / 323512

= 872 / 742

= 872

Step2:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

So, Greatest Common Divisor of 872, 742, 452, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 848, 532, 603
• GCD of 802, 255, 123, 971
• GCD of 994, 161, 393, 430
• GCD of 235, 103, 596, 951
• GCD of 237, 211, 118, 940

Given numbers are 872, 742, 452, 952
The greatest common divisor of numbers 872, 742, 452, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 742, 452, 952 is 2.

1. What is the GCD of 872, 742, 452, 952?

GCD of given numbers 872, 742, 452, 952 is 2

2. How to calculate the greatest common divisor of 872, 742, 452, 952?

We can find the highest common divisor of 872, 742, 452, 952 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, 742, 452, 952 i.e 2.

3. How can I use the GCD of 872, 742, 452, 952Calculator?

Out the numbers 872, 742, 452, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.