Greatest Common Factor of 891/423, 770/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 891/423, 770/769

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 891/423,770/769

Given fractions are 891/423,770/769

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 891,770

Greatest Common Factor of Numerators i.e. GCF of 891,770 is 11 .

LCM of Denominators means LCM of 423,769 as per the given fractions.

LCM of 423,769 is 325287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 891,770

GCF of Fractions 891/423,770/769 is 11/325287

11 891, 770
81, 70

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 891,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,770 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 891,770 . The biggest common factor number is the GCF number.
So the greatest common factor 891,770 is 11.

Lets's calculate LCM of 423,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 325287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/325287

Therefore, the GCF of Fractions 891/423,770/769 is 11/325287

Least Common Multiple of 423,769 with GCF Formula

Least Common Multiple of 423,769 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 423,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,769) = 1

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

GCF(423,769) x common factors =1 x 1 = 1

LCM(423,769) = ( 423 × 769 ) / 1

LCM(423,769) = 325287 / 1

LCM(423,769) = 325287


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 891/423, 770/769

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 891/423, 770/769?

Answer: GCF of Numerators as per given numbers 891/423, 770/769 is

GCF of Numerators i.e. for 891,770 is 11

LCM of denominators i.e. for 423,769 is 325287.

Thus, GCF of Fractions is 11/325287.Finally, GCF of Fractions for 891/423, 770/769 is 11/325287.