GCD of 136, 364, 720, 252 Calculator

Given Input numbers are 136, 364, 720, 252

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

GCD of numbers is the greatest common divisor

So, the GCD (136, 364, 720, 252) = 4.

Given numbers are 136, 364, 720, 252

The list of prime factors of all numbers are

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 2²

Therefore, GCD of 136, 364, 720, 252 is 4.

Given numbers are 136, 364, 720, 252

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

Apply this formula for all numbers.

Step1:

LCM(136, 364) = 12376

GCD(136, 364) = ( 136 x 364 ) / 12376

= 136 / 364

= 136

Step2:

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

= 4 / 720

= 4

Step3:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4

So, Greatest Common Divisor of 136, 364, 720, 252 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 664, 788, 430
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• GCD of 550, 603, 416, 185
• GCD of 759, 315, 760, 218
• GCD of 973, 277, 247, 914

Given numbers are 136, 364, 720, 252
The greatest common divisor of numbers 136, 364, 720, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 364, 720, 252 is 4.

1. What is the GCD of 136, 364, 720, 252?

GCD of given numbers 136, 364, 720, 252 is 4

2. How to calculate the greatest common divisor of 136, 364, 720, 252?

We can find the highest common divisor of 136, 364, 720, 252 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 136, 364, 720, 252 i.e 4.

3. How can I use the GCD of 136, 364, 720, 252Calculator?

Out the numbers 136, 364, 720, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.