Greatest Common Factor of 766/933, 9271/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 766/933, 9271/680

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 766/933,9271/680

Given fractions are 766/933,9271/680

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 766,9271

Greatest Common Factor of Numerators i.e. GCF of 766,9271 is 1 .

LCM of Denominators means LCM of 933,680 as per the given fractions.

LCM of 933,680 is 634440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 766,9271

GCF of Fractions 766/933,9271/680 is 1/634440

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

Greatest Common Factor of 766,9271 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,9271 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 9271

List of positive integer factors of 9271 that divides 9271 without a remainder.

1,73,127,9271

Greatest Common Factor

We found the factors 766,9271 . The biggest common factor number is the GCF number.
So the greatest common factor 766,9271 is 1.

Lets's calculate LCM of 933,680

Given numbers has no common factors except 1. So, there LCM is their product i.e 634440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634440

Therefore, the GCF of Fractions 766/933,9271/680 is 1/634440

Least Common Multiple of 933,680 with GCF Formula

Least Common Multiple of 933,680 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 933,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,680) = 1

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

GCF(933,680) x common factors =1 x 1 = 1

LCM(933,680) = ( 933 × 680 ) / 1

LCM(933,680) = 634440 / 1

LCM(933,680) = 634440


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 766/933, 9271/680

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 766/933, 9271/680?

Answer: GCF of Numerators as per given numbers 766/933, 9271/680 is

GCF of Numerators i.e. for 766,9271 is 1

LCM of denominators i.e. for 933,680 is 634440.

Thus, GCF of Fractions is 1/634440.Finally, GCF of Fractions for 766/933, 9271/680 is 1/634440.