Greatest Common Factor of 91/49, 10/46, 697/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/49, 10/46, 697/409

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 91/49,10/46,697/409

Given fractions are 91/49,10/46,697/409

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 91,10,697

Greatest Common Factor of Numerators i.e. GCF of 91,10,697 is 1 .

LCM of Denominators means LCM of 49,46,409 as per the given fractions.

LCM of 49,46,409 is 921886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,10,697

GCF of Fractions 91/49,10/46,697/409 is 1/921886

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

Greatest Common Factor of 91,10,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,10,697 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 91,10,697 . The biggest common factor number is the GCF number.
So the greatest common factor 91,10,697 is 1.

Lets's calculate LCM of 49,46,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 921886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/921886

Therefore, the GCF of Fractions 91/49,10/46,697/409 is 1/921886

Least Common Multiple of 49,46,409 with GCF Formula

Least Common Multiple of 49,46,409 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 49,46,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,46,409) = 1

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

GCF(49,46,409) x common factors =1 x 1 = 1

LCM(49,46,409) = ( 49 × 46 × 409 ) / 1

LCM(49,46,409) = 921886 / 1

LCM(49,46,409) = 921886


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 91/49, 10/46, 697/409

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 91/49, 10/46, 697/409?

Answer: GCF of Numerators as per given numbers 91/49, 10/46, 697/409 is

GCF of Numerators i.e. for 91,10,697 is 1

LCM of denominators i.e. for 49,46,409 is 921886.

Thus, GCF of Fractions is 1/921886.Finally, GCF of Fractions for 91/49, 10/46, 697/409 is 1/921886.