Greatest Common Factor of 491/67, 434/86, 277/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 491/67, 434/86, 277/967

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 491/67,434/86,277/967

Given fractions are 491/67,434/86,277/967

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 491,434,277

Greatest Common Factor of Numerators i.e. GCF of 491,434,277 is 1 .

LCM of Denominators means LCM of 67,86,967 as per the given fractions.

LCM of 67,86,967 is 5571854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 491,434,277

GCF of Fractions 491/67,434/86,277/967 is 1/5571854

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

Greatest Common Factor of 491,434,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,434,277 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

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 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 491,434,277 . The biggest common factor number is the GCF number.
So the greatest common factor 491,434,277 is 1.

Lets's calculate LCM of 67,86,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 5571854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5571854

Therefore, the GCF of Fractions 491/67,434/86,277/967 is 1/5571854

Least Common Multiple of 67,86,967 with GCF Formula

Least Common Multiple of 67,86,967 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 67,86,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,86,967) = 1

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

GCF(67,86,967) x common factors =1 x 1 = 1

LCM(67,86,967) = ( 67 × 86 × 967 ) / 1

LCM(67,86,967) = 5571854 / 1

LCM(67,86,967) = 5571854


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 491/67, 434/86, 277/967

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 491/67, 434/86, 277/967?

Answer: GCF of Numerators as per given numbers 491/67, 434/86, 277/967 is

GCF of Numerators i.e. for 491,434,277 is 1

LCM of denominators i.e. for 67,86,967 is 5571854.

Thus, GCF of Fractions is 1/5571854.Finally, GCF of Fractions for 491/67, 434/86, 277/967 is 1/5571854.