Greatest Common Factor of 434/499, 979/922, 975/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 434/499, 979/922, 975/769

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 434/499,979/922,975/769

Given fractions are 434/499,979/922,975/769

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 434,979,975

Greatest Common Factor of Numerators i.e. GCF of 434,979,975 is 1 .

LCM of Denominators means LCM of 499,922,769 as per the given fractions.

LCM of 499,922,769 is 353799982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 434,979,975

GCF of Fractions 434/499,979/922,975/769 is 1/353799982

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

Greatest Common Factor of 434,979,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,979,975 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 434,979,975 . The biggest common factor number is the GCF number.
So the greatest common factor 434,979,975 is 1.

Lets's calculate LCM of 499,922,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 353799982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353799982

Therefore, the GCF of Fractions 434/499,979/922,975/769 is 1/353799982

Least Common Multiple of 499,922,769 with GCF Formula

Least Common Multiple of 499,922,769 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 499,922,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,922,769) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(499,922,769) x common factors =1 x 1 = 1

LCM(499,922,769) = ( 499 × 922 × 769 ) / 1

LCM(499,922,769) = 353799982 / 1

LCM(499,922,769) = 353799982


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 434/499, 979/922, 975/769

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 434/499, 979/922, 975/769?

Answer: GCF of Numerators as per given numbers 434/499, 979/922, 975/769 is

GCF of Numerators i.e. for 434,979,975 is 1

LCM of denominators i.e. for 499,922,769 is 353799982.

Thus, GCF of Fractions is 1/353799982.Finally, GCF of Fractions for 434/499, 979/922, 975/769 is 1/353799982.