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GCD of 350, 175, 91 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, 175, 91 quickly. Get the easiest ways to solve the greatest common divisor of 350, 175, 91 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 350, 175, 91 with Factoring?

Given Input numbers are 350, 175, 91

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 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 91 :

The positive integer divisors of 91 that completely divides 91 are.

1, 7, 13, 91


GCD of numbers is the greatest common divisor

So, the GCD (350, 175, 91) = 7.

Find GCD of 350, 175, 91 using Prime Factorization

Given numbers are 350, 175, 91

The list of prime factors of all numbers are

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

Prime factors of 175 are 5 x 5 x 7

Prime factors of 91 are 7 x 13

The highest common occurrence is 71

Therefore, GCD of 350, 175, 91 is 7.

Steps to Calculate GCD of 350, 175, 91 using LCM Formula

Given numbers are 350, 175, 91

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

Apply this formula for all numbers.

Step1:

LCM(350, 175) = 350

GCD(350, 175) = ( 350 x 175 ) / 350

= 350 / 175

= 350


Step2:

LCM(175, 91) = 2275

GCD(175, 91) = ( 175 x 91 ) / 2275

= 175 / 91

= 175


So, Greatest Common Divisor of 350, 175, 91 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 350, 175, 91

Given numbers are 350, 175, 91
The greatest common divisor of numbers 350, 175, 91 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 175, 91 is 7.

FAQs on GCD of 350, 175, 91 Calculator

1. What is the GCD of 350, 175, 91?

GCD of given numbers 350, 175, 91 is 7


2. How to calculate the greatest common divisor of 350, 175, 91?

We can find the highest common divisor of 350, 175, 91 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, 175, 91 i.e 7.


3. How can I use the GCD of 350, 175, 91Calculator?

Out the numbers 350, 175, 91 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.