Greatest Common Factor of 63/781, 991/993, 305/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/781, 991/993, 305/967

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 63/781,991/993,305/967

Given fractions are 63/781,991/993,305/967

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 63,991,305

Greatest Common Factor of Numerators i.e. GCF of 63,991,305 is 1 .

LCM of Denominators means LCM of 781,993,967 as per the given fractions.

LCM of 781,993,967 is 749940411 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,991,305

GCF of Fractions 63/781,991/993,305/967 is 1/749940411

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

Greatest Common Factor of 63,991,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,991,305 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 63,991,305 . The biggest common factor number is the GCF number.
So the greatest common factor 63,991,305 is 1.

Lets's calculate LCM of 781,993,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 749940411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749940411

Therefore, the GCF of Fractions 63/781,991/993,305/967 is 1/749940411

Least Common Multiple of 781,993,967 with GCF Formula

Least Common Multiple of 781,993,967 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 781,993,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,993,967) = 1

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

GCF(781,993,967) x common factors =1 x 1 = 1

LCM(781,993,967) = ( 781 × 993 × 967 ) / 1

LCM(781,993,967) = 749940411 / 1

LCM(781,993,967) = 749940411


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 63/781, 991/993, 305/967

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 63/781, 991/993, 305/967?

Answer: GCF of Numerators as per given numbers 63/781, 991/993, 305/967 is

GCF of Numerators i.e. for 63,991,305 is 1

LCM of denominators i.e. for 781,993,967 is 749940411.

Thus, GCF of Fractions is 1/749940411.Finally, GCF of Fractions for 63/781, 991/993, 305/967 is 1/749940411.