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GCD of 513, 633, 987, 940 Calculator

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


Online GCD Calculator is useful to find the GCD of 513, 633, 987, 940 quickly. Get the easiest ways to solve the greatest common divisor of 513, 633, 987, 940 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 633, 987, 940 with Factoring?

Given Input numbers are 513, 633, 987, 940

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940


GCD of numbers is the greatest common divisor

So, the GCD (513, 633, 987, 940) = 1.

Find GCD of 513, 633, 987, 940 using Prime Factorization

Given numbers are 513, 633, 987, 940

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 633 are 3 x 211

Prime factors of 987 are 3 x 7 x 47

Prime factors of 940 are 2 x 2 x 5 x 47

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

Steps to Calculate GCD of 513, 633, 987, 940 using LCM Formula

Given numbers are 513, 633, 987, 940

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

Apply this formula for all numbers.

Step1:

LCM(513, 633) = 108243

GCD(513, 633) = ( 513 x 633 ) / 108243

= 513 / 633

= 513


Step2:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3


Step3:

LCM(3, 940) = 2820

GCD(3, 940) = ( 3 x 940 ) / 2820

= 3 / 940

= 3


So, Greatest Common Divisor of 513, 633, 987, 940 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 633, 987, 940

Given numbers are 513, 633, 987, 940
The greatest common divisor of numbers 513, 633, 987, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 633, 987, 940 is 1.

FAQs on GCD of 513, 633, 987, 940 Calculator

1. What is the GCD of 513, 633, 987, 940?

GCD of given numbers 513, 633, 987, 940 is 1


2. How to calculate the greatest common divisor of 513, 633, 987, 940?

We can find the highest common divisor of 513, 633, 987, 940 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 513, 633, 987, 940 i.e 1.


3. How can I use the GCD of 513, 633, 987, 940Calculator?

Out the numbers 513, 633, 987, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.