GCD of 252, 862, 742, 976 Calculator

Given Input numbers are 252, 862, 742, 976

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 742 :

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

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (252, 862, 742, 976) = 2.

Given numbers are 252, 862, 742, 976

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 862 are 2 x 431

Prime factors of 742 are 2 x 7 x 53

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 252, 862, 742, 976 is 2.

Given numbers are 252, 862, 742, 976

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

Apply this formula for all numbers.

Step1:

LCM(252, 862) = 108612

GCD(252, 862) = ( 252 x 862 ) / 108612

= 252 / 862

= 252

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 252, 862, 742, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 403, 108, 520
• GCD of 786, 986, 809, 502
• GCD of 863, 181, 490, 454
• GCD of 461, 455, 946, 284
• GCD of 546, 348, 167, 601

Given numbers are 252, 862, 742, 976
The greatest common divisor of numbers 252, 862, 742, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 862, 742, 976 is 2.

1. What is the GCD of 252, 862, 742, 976?

GCD of given numbers 252, 862, 742, 976 is 2

2. How to calculate the greatest common divisor of 252, 862, 742, 976?

We can find the highest common divisor of 252, 862, 742, 976 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 252, 862, 742, 976 i.e 2.

3. How can I use the GCD of 252, 862, 742, 976Calculator?

Out the numbers 252, 862, 742, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.