GCD of 252, 144, 236, 752 Calculator

Given Input numbers are 252, 144, 236, 752

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 752 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (252, 144, 236, 752) = 4.

Given numbers are 252, 144, 236, 752

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 236 are 2 x 2 x 59

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

The highest common occurrence is 2²

Therefore, GCD of 252, 144, 236, 752 is 4.

Given numbers are 252, 144, 236, 752

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

Apply this formula for all numbers.

Step1:

LCM(252, 144) = 1008

GCD(252, 144) = ( 252 x 144 ) / 1008

= 252 / 144

= 252

Step2:

LCM(36, 236) = 2124

GCD(36, 236) = ( 36 x 236 ) / 2124

= 36 / 236

= 36

Step3:

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

= 4 / 752

= 4

So, Greatest Common Divisor of 252, 144, 236, 752 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 254, 787, 572
• GCD of 875, 360, 946, 817
• GCD of 162, 222, 196, 654
• GCD of 912, 847, 883, 786
• GCD of 932, 443, 662, 595

Given numbers are 252, 144, 236, 752
The greatest common divisor of numbers 252, 144, 236, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 144, 236, 752 is 4.

1. What is the GCD of 252, 144, 236, 752?

GCD of given numbers 252, 144, 236, 752 is 4

2. How to calculate the greatest common divisor of 252, 144, 236, 752?

We can find the highest common divisor of 252, 144, 236, 752 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, 144, 236, 752 i.e 4.

3. How can I use the GCD of 252, 144, 236, 752Calculator?

Out the numbers 252, 144, 236, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.