Greatest Common Factor of 1747/77, 8599/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1747/77, 8599/814

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 1747/77,8599/814

Given fractions are 1747/77,8599/814

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 1747,8599

Greatest Common Factor of Numerators i.e. GCF of 1747,8599 is 1 .

LCM of Denominators means LCM of 77,814 as per the given fractions.

LCM of 77,814 is 5698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1747,8599

GCF of Fractions 1747/77,8599/814 is 1/5698

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

Greatest Common Factor of 1747,8599 By Matching Biggest Common Factor Method

Greatest Common Factor of 1747,8599 By Matching Biggest Common Factor Method

Factors of 1747

List of positive integer factors of 1747 that divides 1747 without a remainder.

1,1747

Factors of 8599

List of positive integer factors of 8599 that divides 8599 without a remainder.

1,8599

Greatest Common Factor

We found the factors 1747,8599 . The biggest common factor number is the GCF number.
So the greatest common factor 1747,8599 is 1.

Lets's calculate LCM of 77,814

11 77, 814
7, 74

∴ So the LCM of the given numbers is 11 x 7 x 74 = 5698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5698

Therefore, the GCF of Fractions 1747/77,8599/814 is 1/5698

Least Common Multiple of 77,814 with GCF Formula

Least Common Multiple of 77,814 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 77,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,814) = 11

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

GCF(77,814) x common factors =11 x 1 = 11

LCM(77,814) = ( 77 × 814 ) / 11

LCM(77,814) = 62678 / 11

LCM(77,814) = 5698


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 1747/77, 8599/814

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 1747/77, 8599/814?

Answer: GCF of Numerators as per given numbers 1747/77, 8599/814 is

GCF of Numerators i.e. for 1747,8599 is 1

LCM of denominators i.e. for 77,814 is 5698.

Thus, GCF of Fractions is 1/5698.Finally, GCF of Fractions for 1747/77, 8599/814 is 1/5698.