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GCD of 147, 500, 402, 648 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 147, 500, 402, 648 quickly. Get the easiest ways to solve the greatest common divisor of 147, 500, 402, 648 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 147, 500, 402, 648 with Factoring?

Given Input numbers are 147, 500, 402, 648

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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


GCD of numbers is the greatest common divisor

So, the GCD (147, 500, 402, 648) = 1.

Find GCD of 147, 500, 402, 648 using Prime Factorization

Given numbers are 147, 500, 402, 648

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 402 are 2 x 3 x 67

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

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

Steps to Calculate GCD of 147, 500, 402, 648 using LCM Formula

Given numbers are 147, 500, 402, 648

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

Apply this formula for all numbers.

Step1:

LCM(147, 500) = 73500

GCD(147, 500) = ( 147 x 500 ) / 73500

= 147 / 500

= 147


Step2:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1


Step3:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1


So, Greatest Common Divisor of 147, 500, 402, 648 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 147, 500, 402, 648

Given numbers are 147, 500, 402, 648
The greatest common divisor of numbers 147, 500, 402, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 500, 402, 648 is 1.

FAQs on GCD of 147, 500, 402, 648 Calculator

1. What is the GCD of 147, 500, 402, 648?

GCD of given numbers 147, 500, 402, 648 is 1


2. How to calculate the greatest common divisor of 147, 500, 402, 648?

We can find the highest common divisor of 147, 500, 402, 648 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 147, 500, 402, 648 i.e 1.


3. How can I use the GCD of 147, 500, 402, 648Calculator?

Out the numbers 147, 500, 402, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.