Greatest Common Factor of 1065/788, 9771/5139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1065/788, 9771/5139

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 1065/788,9771/5139

Given fractions are 1065/788,9771/5139

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 1065,9771

Greatest Common Factor of Numerators i.e. GCF of 1065,9771 is 3 .

LCM of Denominators means LCM of 788,5139 as per the given fractions.

LCM of 788,5139 is 4049532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1065,9771

GCF of Fractions 1065/788,9771/5139 is 3/4049532

3 1065, 9771
355, 3257

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1065,9771 By Matching Biggest Common Factor Method

Greatest Common Factor of 1065,9771 By Matching Biggest Common Factor Method

Factors of 1065

List of positive integer factors of 1065 that divides 1065 without a remainder.

1,3,5,15,71,213,355,1065

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1,3,3257,9771

Greatest Common Factor

We found the factors 1065,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 1065,9771 is 3.

Lets's calculate LCM of 788,5139

Given numbers has no common factors except 1. So, there LCM is their product i.e 4049532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4049532

Therefore, the GCF of Fractions 1065/788,9771/5139 is 3/4049532

Least Common Multiple of 788,5139 with GCF Formula

Least Common Multiple of 788,5139 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 788,5139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,5139) = 1

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

GCF(788,5139) x common factors =1 x 1 = 1

LCM(788,5139) = ( 788 × 5139 ) / 1

LCM(788,5139) = 4049532 / 1

LCM(788,5139) = 4049532


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 1065/788, 9771/5139

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 1065/788, 9771/5139?

Answer: GCF of Numerators as per given numbers 1065/788, 9771/5139 is

GCF of Numerators i.e. for 1065,9771 is 3

LCM of denominators i.e. for 788,5139 is 4049532.

Thus, GCF of Fractions is 3/4049532.Finally, GCF of Fractions for 1065/788, 9771/5139 is 3/4049532.