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GCD of 763, 825, 349, 528 Calculator

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


Online GCD Calculator is useful to find the GCD of 763, 825, 349, 528 quickly. Get the easiest ways to solve the greatest common divisor of 763, 825, 349, 528 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 763, 825, 349, 528 with Factoring?

Given Input numbers are 763, 825, 349, 528

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

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528


GCD of numbers is the greatest common divisor

So, the GCD (763, 825, 349, 528) = 1.

Find GCD of 763, 825, 349, 528 using Prime Factorization

Given numbers are 763, 825, 349, 528

The list of prime factors of all numbers are

Prime factors of 763 are 7 x 109

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 349 are 349

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

Steps to Calculate GCD of 763, 825, 349, 528 using LCM Formula

Given numbers are 763, 825, 349, 528

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

Apply this formula for all numbers.

Step1:

LCM(763, 825) = 629475

GCD(763, 825) = ( 763 x 825 ) / 629475

= 763 / 825

= 763


Step2:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1


Step3:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1


So, Greatest Common Divisor of 763, 825, 349, 528 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 763, 825, 349, 528

Given numbers are 763, 825, 349, 528
The greatest common divisor of numbers 763, 825, 349, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 763, 825, 349, 528 is 1.

FAQs on GCD of 763, 825, 349, 528 Calculator

1. What is the GCD of 763, 825, 349, 528?

GCD of given numbers 763, 825, 349, 528 is 1


2. How to calculate the greatest common divisor of 763, 825, 349, 528?

We can find the highest common divisor of 763, 825, 349, 528 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 763, 825, 349, 528 i.e 1.


3. How can I use the GCD of 763, 825, 349, 528Calculator?

Out the numbers 763, 825, 349, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.