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GCD of 496, 448, 637, 967 Calculator

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


Online GCD Calculator is useful to find the GCD of 496, 448, 637, 967 quickly. Get the easiest ways to solve the greatest common divisor of 496, 448, 637, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 496, 448, 637, 967 with Factoring?

Given Input numbers are 496, 448, 637, 967

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967


GCD of numbers is the greatest common divisor

So, the GCD (496, 448, 637, 967) = 1.

Find GCD of 496, 448, 637, 967 using Prime Factorization

Given numbers are 496, 448, 637, 967

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 637 are 7 x 7 x 13

Prime factors of 967 are 967

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

Steps to Calculate GCD of 496, 448, 637, 967 using LCM Formula

Given numbers are 496, 448, 637, 967

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

Apply this formula for all numbers.

Step1:

LCM(496, 448) = 13888

GCD(496, 448) = ( 496 x 448 ) / 13888

= 496 / 448

= 496


Step2:

LCM(16, 637) = 10192

GCD(16, 637) = ( 16 x 637 ) / 10192

= 16 / 637

= 16


Step3:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1


So, Greatest Common Divisor of 496, 448, 637, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 496, 448, 637, 967

Given numbers are 496, 448, 637, 967
The greatest common divisor of numbers 496, 448, 637, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 448, 637, 967 is 1.

FAQs on GCD of 496, 448, 637, 967 Calculator

1. What is the GCD of 496, 448, 637, 967?

GCD of given numbers 496, 448, 637, 967 is 1


2. How to calculate the greatest common divisor of 496, 448, 637, 967?

We can find the highest common divisor of 496, 448, 637, 967 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 496, 448, 637, 967 i.e 1.


3. How can I use the GCD of 496, 448, 637, 967Calculator?

Out the numbers 496, 448, 637, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.