Greatest Common Factor of 7747/774, 9706/2785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7747/774, 9706/2785

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 7747/774,9706/2785

Given fractions are 7747/774,9706/2785

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 7747,9706

Greatest Common Factor of Numerators i.e. GCF of 7747,9706 is 1 .

LCM of Denominators means LCM of 774,2785 as per the given fractions.

LCM of 774,2785 is 2155590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7747,9706

GCF of Fractions 7747/774,9706/2785 is 1/2155590

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

Greatest Common Factor of 7747,9706 By Matching Biggest Common Factor Method

Greatest Common Factor of 7747,9706 By Matching Biggest Common Factor Method

Factors of 7747

List of positive integer factors of 7747 that divides 7747 without a remainder.

1,61,127,7747

Factors of 9706

List of positive integer factors of 9706 that divides 9706 without a remainder.

1,2,23,46,211,422,4853,9706

Greatest Common Factor

We found the factors 7747,9706 . The biggest common factor number is the GCF number.
So the greatest common factor 7747,9706 is 1.

Lets's calculate LCM of 774,2785

Given numbers has no common factors except 1. So, there LCM is their product i.e 2155590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2155590

Therefore, the GCF of Fractions 7747/774,9706/2785 is 1/2155590

Least Common Multiple of 774,2785 with GCF Formula

Least Common Multiple of 774,2785 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 774,2785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,2785) = 1

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

GCF(774,2785) x common factors =1 x 1 = 1

LCM(774,2785) = ( 774 × 2785 ) / 1

LCM(774,2785) = 2155590 / 1

LCM(774,2785) = 2155590


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 7747/774, 9706/2785

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 7747/774, 9706/2785?

Answer: GCF of Numerators as per given numbers 7747/774, 9706/2785 is

GCF of Numerators i.e. for 7747,9706 is 1

LCM of denominators i.e. for 774,2785 is 2155590.

Thus, GCF of Fractions is 1/2155590.Finally, GCF of Fractions for 7747/774, 9706/2785 is 1/2155590.