GCD of 648, 456, 175, 252 Calculator

Given Input numbers are 648, 456, 175, 252

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

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 (648, 456, 175, 252) = 1.

Given numbers are 648, 456, 175, 252

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 175 are 5 x 5 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 648, 456, 175, 252

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

Apply this formula for all numbers.

Step1:

LCM(648, 456) = 12312

GCD(648, 456) = ( 648 x 456 ) / 12312

= 648 / 456

= 648

Step2:

LCM(24, 175) = 4200

GCD(24, 175) = ( 24 x 175 ) / 4200

= 24 / 175

= 24

Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1

So, Greatest Common Divisor of 648, 456, 175, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 366, 142, 628
• GCD of 810, 265, 474, 416
• GCD of 814, 125, 261, 664
• GCD of 850, 944, 781, 284
• GCD of 127, 839, 876, 398

Given numbers are 648, 456, 175, 252
The greatest common divisor of numbers 648, 456, 175, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 456, 175, 252 is 1.

1. What is the GCD of 648, 456, 175, 252?

GCD of given numbers 648, 456, 175, 252 is 1

2. How to calculate the greatest common divisor of 648, 456, 175, 252?

We can find the highest common divisor of 648, 456, 175, 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 648, 456, 175, 252 i.e 1.

3. How can I use the GCD of 648, 456, 175, 252Calculator?

Out the numbers 648, 456, 175, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.