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GCD of 648, 464, 262, 653 Calculator

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


Online GCD Calculator is useful to find the GCD of 648, 464, 262, 653 quickly. Get the easiest ways to solve the greatest common divisor of 648, 464, 262, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 648, 464, 262, 653 with Factoring?

Given Input numbers are 648, 464, 262, 653

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653


GCD of numbers is the greatest common divisor

So, the GCD (648, 464, 262, 653) = 1.

Find GCD of 648, 464, 262, 653 using Prime Factorization

Given numbers are 648, 464, 262, 653

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 262 are 2 x 131

Prime factors of 653 are 653

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

Steps to Calculate GCD of 648, 464, 262, 653 using LCM Formula

Given numbers are 648, 464, 262, 653

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

Apply this formula for all numbers.

Step1:

LCM(648, 464) = 37584

GCD(648, 464) = ( 648 x 464 ) / 37584

= 648 / 464

= 648


Step2:

LCM(8, 262) = 1048

GCD(8, 262) = ( 8 x 262 ) / 1048

= 8 / 262

= 8


Step3:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2


So, Greatest Common Divisor of 648, 464, 262, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 648, 464, 262, 653

Given numbers are 648, 464, 262, 653
The greatest common divisor of numbers 648, 464, 262, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 464, 262, 653 is 1.

FAQs on GCD of 648, 464, 262, 653 Calculator

1. What is the GCD of 648, 464, 262, 653?

GCD of given numbers 648, 464, 262, 653 is 1


2. How to calculate the greatest common divisor of 648, 464, 262, 653?

We can find the highest common divisor of 648, 464, 262, 653 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, 464, 262, 653 i.e 1.


3. How can I use the GCD of 648, 464, 262, 653Calculator?

Out the numbers 648, 464, 262, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.