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GCD of 325, 410, 700, 875 Calculator

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


Online GCD Calculator is useful to find the GCD of 325, 410, 700, 875 quickly. Get the easiest ways to solve the greatest common divisor of 325, 410, 700, 875 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 325, 410, 700, 875 with Factoring?

Given Input numbers are 325, 410, 700, 875

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

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875


GCD of numbers is the greatest common divisor

So, the GCD (325, 410, 700, 875) = 5.

Find GCD of 325, 410, 700, 875 using Prime Factorization

Given numbers are 325, 410, 700, 875

The list of prime factors of all numbers are

Prime factors of 325 are 5 x 5 x 13

Prime factors of 410 are 2 x 5 x 41

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 875 are 5 x 5 x 5 x 7

The highest common occurrence is 51

Therefore, GCD of 325, 410, 700, 875 is 5.

Steps to Calculate GCD of 325, 410, 700, 875 using LCM Formula

Given numbers are 325, 410, 700, 875

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

Apply this formula for all numbers.

Step1:

LCM(325, 410) = 26650

GCD(325, 410) = ( 325 x 410 ) / 26650

= 325 / 410

= 325


Step2:

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

= 5 / 700

= 5


Step3:

LCM(5, 875) = 875

GCD(5, 875) = ( 5 x 875 ) / 875

= 5 / 875

= 5


So, Greatest Common Divisor of 325, 410, 700, 875 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 325, 410, 700, 875

Given numbers are 325, 410, 700, 875
The greatest common divisor of numbers 325, 410, 700, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 410, 700, 875 is 5.

FAQs on GCD of 325, 410, 700, 875 Calculator

1. What is the GCD of 325, 410, 700, 875?

GCD of given numbers 325, 410, 700, 875 is 5


2. How to calculate the greatest common divisor of 325, 410, 700, 875?

We can find the highest common divisor of 325, 410, 700, 875 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 325, 410, 700, 875 i.e 5.


3. How can I use the GCD of 325, 410, 700, 875Calculator?

Out the numbers 325, 410, 700, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.