Greatest Common Factor of 406/75, 814/34, 695/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/75, 814/34, 695/498

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 406/75,814/34,695/498

Given fractions are 406/75,814/34,695/498

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 406,814,695

Greatest Common Factor of Numerators i.e. GCF of 406,814,695 is 1 .

LCM of Denominators means LCM of 75,34,498 as per the given fractions.

LCM of 75,34,498 is 211650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,814,695

GCF of Fractions 406/75,814/34,695/498 is 1/211650

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 406,814,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,814,695 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 406,814,695 . The biggest common factor number is the GCF number.
So the greatest common factor 406,814,695 is 1.

Lets's calculate LCM of 75,34,498

2 75, 34, 498
3 75, 17, 249
25, 17, 83

∴ So the LCM of the given numbers is 2 x 3 x 25 x 17 x 83 = 211650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211650

Therefore, the GCF of Fractions 406/75,814/34,695/498 is 1/211650

Least Common Multiple of 75,34,498 with GCF Formula

Least Common Multiple of 75,34,498 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 75,34,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,34,498) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,34,498) x common factors =1 x 6 = 6

LCM(75,34,498) = ( 75 × 34 × 498 ) / 6

LCM(75,34,498) = 1269900 / 6

LCM(75,34,498) = 211650


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 406/75, 814/34, 695/498

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 406/75, 814/34, 695/498?

Answer: GCF of Numerators as per given numbers 406/75, 814/34, 695/498 is

GCF of Numerators i.e. for 406,814,695 is 1

LCM of denominators i.e. for 75,34,498 is 211650.

Thus, GCF of Fractions is 1/211650.Finally, GCF of Fractions for 406/75, 814/34, 695/498 is 1/211650.