Greatest Common Factor of 5755/83, 5667/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5755/83, 5667/783

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 5755/83,5667/783

Given fractions are 5755/83,5667/783

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 5755,5667

Greatest Common Factor of Numerators i.e. GCF of 5755,5667 is 1 .

LCM of Denominators means LCM of 83,783 as per the given fractions.

LCM of 83,783 is 64989 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5755,5667

GCF of Fractions 5755/83,5667/783 is 1/64989

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

Greatest Common Factor of 5755,5667 By Matching Biggest Common Factor Method

Greatest Common Factor of 5755,5667 By Matching Biggest Common Factor Method

Factors of 5755

List of positive integer factors of 5755 that divides 5755 without a remainder.

1,5,1151,5755

Factors of 5667

List of positive integer factors of 5667 that divides 5667 without a remainder.

1,3,1889,5667

Greatest Common Factor

We found the factors 5755,5667 . The biggest common factor number is the GCF number.
So the greatest common factor 5755,5667 is 1.

Lets's calculate LCM of 83,783

Given numbers has no common factors except 1. So, there LCM is their product i.e 64989

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64989

Therefore, the GCF of Fractions 5755/83,5667/783 is 1/64989

Least Common Multiple of 83,783 with GCF Formula

Least Common Multiple of 83,783 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 83,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,783) = 1

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

GCF(83,783) x common factors =1 x 1 = 1

LCM(83,783) = ( 83 × 783 ) / 1

LCM(83,783) = 64989 / 1

LCM(83,783) = 64989


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 5755/83, 5667/783

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 5755/83, 5667/783?

Answer: GCF of Numerators as per given numbers 5755/83, 5667/783 is

GCF of Numerators i.e. for 5755,5667 is 1

LCM of denominators i.e. for 83,783 is 64989.

Thus, GCF of Fractions is 1/64989.Finally, GCF of Fractions for 5755/83, 5667/783 is 1/64989.