Greatest Common Factor of 5749/82, 6916/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5749/82, 6916/807

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 5749/82,6916/807

Given fractions are 5749/82,6916/807

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 5749,6916

Greatest Common Factor of Numerators i.e. GCF of 5749,6916 is 1 .

LCM of Denominators means LCM of 82,807 as per the given fractions.

LCM of 82,807 is 66174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5749,6916

GCF of Fractions 5749/82,6916/807 is 1/66174

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

Greatest Common Factor of 5749,6916 By Matching Biggest Common Factor Method

Greatest Common Factor of 5749,6916 By Matching Biggest Common Factor Method

Factors of 5749

List of positive integer factors of 5749 that divides 5749 without a remainder.

1,5749

Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916

Greatest Common Factor

We found the factors 5749,6916 . The biggest common factor number is the GCF number.
So the greatest common factor 5749,6916 is 1.

Lets's calculate LCM of 82,807

Given numbers has no common factors except 1. So, there LCM is their product i.e 66174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66174

Therefore, the GCF of Fractions 5749/82,6916/807 is 1/66174

Least Common Multiple of 82,807 with GCF Formula

Least Common Multiple of 82,807 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 82,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,807) = 1

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

GCF(82,807) x common factors =1 x 1 = 1

LCM(82,807) = ( 82 × 807 ) / 1

LCM(82,807) = 66174 / 1

LCM(82,807) = 66174


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 5749/82, 6916/807

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 5749/82, 6916/807?

Answer: GCF of Numerators as per given numbers 5749/82, 6916/807 is

GCF of Numerators i.e. for 5749,6916 is 1

LCM of denominators i.e. for 82,807 is 66174.

Thus, GCF of Fractions is 1/66174.Finally, GCF of Fractions for 5749/82, 6916/807 is 1/66174.