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GCD of 920, 896, 35, 953 Calculator

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


Online GCD Calculator is useful to find the GCD of 920, 896, 35, 953 quickly. Get the easiest ways to solve the greatest common divisor of 920, 896, 35, 953 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 896, 35, 953 with Factoring?

Given Input numbers are 920, 896, 35, 953

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953


GCD of numbers is the greatest common divisor

So, the GCD (920, 896, 35, 953) = 1.

Find GCD of 920, 896, 35, 953 using Prime Factorization

Given numbers are 920, 896, 35, 953

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 35 are 5 x 7

Prime factors of 953 are 953

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

Steps to Calculate GCD of 920, 896, 35, 953 using LCM Formula

Given numbers are 920, 896, 35, 953

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

Apply this formula for all numbers.

Step1:

LCM(920, 896) = 103040

GCD(920, 896) = ( 920 x 896 ) / 103040

= 920 / 896

= 920


Step2:

LCM(8, 35) = 280

GCD(8, 35) = ( 8 x 35 ) / 280

= 8 / 35

= 8


Step3:

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

= 1 / 953

= 1


So, Greatest Common Divisor of 920, 896, 35, 953 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 896, 35, 953

Given numbers are 920, 896, 35, 953
The greatest common divisor of numbers 920, 896, 35, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 896, 35, 953 is 1.

FAQs on GCD of 920, 896, 35, 953 Calculator

1. What is the GCD of 920, 896, 35, 953?

GCD of given numbers 920, 896, 35, 953 is 1


2. How to calculate the greatest common divisor of 920, 896, 35, 953?

We can find the highest common divisor of 920, 896, 35, 953 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 920, 896, 35, 953 i.e 1.


3. How can I use the GCD of 920, 896, 35, 953Calculator?

Out the numbers 920, 896, 35, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.