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GCD of 350, 700, 475 Calculator

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


Online GCD Calculator is useful to find the GCD of 350, 700, 475 quickly. Get the easiest ways to solve the greatest common divisor of 350, 700, 475 i.e 25 in different methods as follows.

GCD of

How to Find GCD of Numbers 350, 700, 475 with Factoring?

Given Input numbers are 350, 700, 475

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475


GCD of numbers is the greatest common divisor

So, the GCD (350, 700, 475) = 25.

Find GCD of 350, 700, 475 using Prime Factorization

Given numbers are 350, 700, 475

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

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

Prime factors of 475 are 5 x 5 x 19

The highest common occurrence is 52

Therefore, GCD of 350, 700, 475 is 25.

Steps to Calculate GCD of 350, 700, 475 using LCM Formula

Given numbers are 350, 700, 475

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

Apply this formula for all numbers.

Step1:

LCM(350, 700) = 700

GCD(350, 700) = ( 350 x 700 ) / 700

= 350 / 700

= 350


Step2:

LCM(350, 475) = 6650

GCD(350, 475) = ( 350 x 475 ) / 6650

= 350 / 475

= 350


So, Greatest Common Divisor of 350, 700, 475 is 25

GCD of Numbers Calculation Examples

Greatest Common Divisor of 350, 700, 475

Given numbers are 350, 700, 475
The greatest common divisor of numbers 350, 700, 475 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 700, 475 is 25.

FAQs on GCD of 350, 700, 475 Calculator

1. What is the GCD of 350, 700, 475?

GCD of given numbers 350, 700, 475 is 25


2. How to calculate the greatest common divisor of 350, 700, 475?

We can find the highest common divisor of 350, 700, 475 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 350, 700, 475 i.e 25.


3. How can I use the GCD of 350, 700, 475Calculator?

Out the numbers 350, 700, 475 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.