GCD of 248, 252, 342, 972 Calculator

Given Input numbers are 248, 252, 342, 972

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (248, 252, 342, 972) = 2.

Given numbers are 248, 252, 342, 972

The list of prime factors of all numbers are

Prime factors of 248 are 2 x 2 x 2 x 31

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 248, 252, 342, 972 is 2.

Given numbers are 248, 252, 342, 972

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

Apply this formula for all numbers.

Step1:

LCM(248, 252) = 15624

GCD(248, 252) = ( 248 x 252 ) / 15624

= 248 / 252

= 248

Step2:

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

= 4 / 342

= 4

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 248, 252, 342, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 817, 594, 996
• GCD of 340, 931, 562, 911
• GCD of 961, 827, 797, 968
• GCD of 169, 497, 236, 275
• GCD of 754, 668, 703, 957

Given numbers are 248, 252, 342, 972
The greatest common divisor of numbers 248, 252, 342, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 252, 342, 972 is 2.

1. What is the GCD of 248, 252, 342, 972?

GCD of given numbers 248, 252, 342, 972 is 2

2. How to calculate the greatest common divisor of 248, 252, 342, 972?

We can find the highest common divisor of 248, 252, 342, 972 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 248, 252, 342, 972 i.e 2.

3. How can I use the GCD of 248, 252, 342, 972Calculator?

Out the numbers 248, 252, 342, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.