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GCD of 975, 732, 989, 535 Calculator

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


Online GCD Calculator is useful to find the GCD of 975, 732, 989, 535 quickly. Get the easiest ways to solve the greatest common divisor of 975, 732, 989, 535 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 732, 989, 535 with Factoring?

Given Input numbers are 975, 732, 989, 535

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535


GCD of numbers is the greatest common divisor

So, the GCD (975, 732, 989, 535) = 1.

Find GCD of 975, 732, 989, 535 using Prime Factorization

Given numbers are 975, 732, 989, 535

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 989 are 23 x 43

Prime factors of 535 are 5 x 107

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

Steps to Calculate GCD of 975, 732, 989, 535 using LCM Formula

Given numbers are 975, 732, 989, 535

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

Apply this formula for all numbers.

Step1:

LCM(975, 732) = 237900

GCD(975, 732) = ( 975 x 732 ) / 237900

= 975 / 732

= 975


Step2:

LCM(3, 989) = 2967

GCD(3, 989) = ( 3 x 989 ) / 2967

= 3 / 989

= 3


Step3:

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

= 1 / 535

= 1


So, Greatest Common Divisor of 975, 732, 989, 535 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 732, 989, 535

Given numbers are 975, 732, 989, 535
The greatest common divisor of numbers 975, 732, 989, 535 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 732, 989, 535 is 1.

FAQs on GCD of 975, 732, 989, 535 Calculator

1. What is the GCD of 975, 732, 989, 535?

GCD of given numbers 975, 732, 989, 535 is 1


2. How to calculate the greatest common divisor of 975, 732, 989, 535?

We can find the highest common divisor of 975, 732, 989, 535 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 975, 732, 989, 535 i.e 1.


3. How can I use the GCD of 975, 732, 989, 535Calculator?

Out the numbers 975, 732, 989, 535 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.