Greatest Common Factor of 826/910, 742/775, 263/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/910, 742/775, 263/218

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 826/910,742/775,263/218

Given fractions are 826/910,742/775,263/218

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 826,742,263

Greatest Common Factor of Numerators i.e. GCF of 826,742,263 is 1 .

LCM of Denominators means LCM of 910,775,218 as per the given fractions.

LCM of 910,775,218 is 15374450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,742,263

GCF of Fractions 826/910,742/775,263/218 is 1/15374450

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

Greatest Common Factor of 826,742,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,742,263 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 826,742,263 . The biggest common factor number is the GCF number.
So the greatest common factor 826,742,263 is 1.

Lets's calculate LCM of 910,775,218

2 910, 775, 218
5 455, 775, 109
91, 155, 109

∴ So the LCM of the given numbers is 2 x 5 x 91 x 155 x 109 = 15374450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15374450

Therefore, the GCF of Fractions 826/910,742/775,263/218 is 1/15374450

Least Common Multiple of 910,775,218 with GCF Formula

Least Common Multiple of 910,775,218 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 910,775,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,775,218) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(910,775,218) x common factors =1 x 10 = 10

LCM(910,775,218) = ( 910 × 775 × 218 ) / 10

LCM(910,775,218) = 153744500 / 10

LCM(910,775,218) = 15374450


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 826/910, 742/775, 263/218

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 826/910, 742/775, 263/218?

Answer: GCF of Numerators as per given numbers 826/910, 742/775, 263/218 is

GCF of Numerators i.e. for 826,742,263 is 1

LCM of denominators i.e. for 910,775,218 is 15374450.

Thus, GCF of Fractions is 1/15374450.Finally, GCF of Fractions for 826/910, 742/775, 263/218 is 1/15374450.