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GCD of 525, 765, 160, 790 Calculator

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


Online GCD Calculator is useful to find the GCD of 525, 765, 160, 790 quickly. Get the easiest ways to solve the greatest common divisor of 525, 765, 160, 790 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 525, 765, 160, 790 with Factoring?

Given Input numbers are 525, 765, 160, 790

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790


GCD of numbers is the greatest common divisor

So, the GCD (525, 765, 160, 790) = 5.

Find GCD of 525, 765, 160, 790 using Prime Factorization

Given numbers are 525, 765, 160, 790

The list of prime factors of all numbers are

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 51

Therefore, GCD of 525, 765, 160, 790 is 5.

Steps to Calculate GCD of 525, 765, 160, 790 using LCM Formula

Given numbers are 525, 765, 160, 790

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

Apply this formula for all numbers.

Step1:

LCM(525, 765) = 26775

GCD(525, 765) = ( 525 x 765 ) / 26775

= 525 / 765

= 525


Step2:

LCM(15, 160) = 480

GCD(15, 160) = ( 15 x 160 ) / 480

= 15 / 160

= 15


Step3:

LCM(5, 790) = 790

GCD(5, 790) = ( 5 x 790 ) / 790

= 5 / 790

= 5


So, Greatest Common Divisor of 525, 765, 160, 790 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 525, 765, 160, 790

Given numbers are 525, 765, 160, 790
The greatest common divisor of numbers 525, 765, 160, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 765, 160, 790 is 5.

FAQs on GCD of 525, 765, 160, 790 Calculator

1. What is the GCD of 525, 765, 160, 790?

GCD of given numbers 525, 765, 160, 790 is 5


2. How to calculate the greatest common divisor of 525, 765, 160, 790?

We can find the highest common divisor of 525, 765, 160, 790 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 525, 765, 160, 790 i.e 5.


3. How can I use the GCD of 525, 765, 160, 790Calculator?

Out the numbers 525, 765, 160, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.