Greatest Common Factor of 5733/77, 8263/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5733/77, 8263/962

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 5733/77,8263/962

Given fractions are 5733/77,8263/962

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 5733,8263

Greatest Common Factor of Numerators i.e. GCF of 5733,8263 is 1 .

LCM of Denominators means LCM of 77,962 as per the given fractions.

LCM of 77,962 is 74074 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5733,8263

GCF of Fractions 5733/77,8263/962 is 1/74074

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

Greatest Common Factor of 5733,8263 By Matching Biggest Common Factor Method

Greatest Common Factor of 5733,8263 By Matching Biggest Common Factor Method

Factors of 5733

List of positive integer factors of 5733 that divides 5733 without a remainder.

1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733

Factors of 8263

List of positive integer factors of 8263 that divides 8263 without a remainder.

1,8263

Greatest Common Factor

We found the factors 5733,8263 . The biggest common factor number is the GCF number.
So the greatest common factor 5733,8263 is 1.

Lets's calculate LCM of 77,962

Given numbers has no common factors except 1. So, there LCM is their product i.e 74074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74074

Therefore, the GCF of Fractions 5733/77,8263/962 is 1/74074

Least Common Multiple of 77,962 with GCF Formula

Least Common Multiple of 77,962 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 77,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,962) = 1

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

GCF(77,962) x common factors =1 x 1 = 1

LCM(77,962) = ( 77 × 962 ) / 1

LCM(77,962) = 74074 / 1

LCM(77,962) = 74074


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 5733/77, 8263/962

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 5733/77, 8263/962?

Answer: GCF of Numerators as per given numbers 5733/77, 8263/962 is

GCF of Numerators i.e. for 5733,8263 is 1

LCM of denominators i.e. for 77,962 is 74074.

Thus, GCF of Fractions is 1/74074.Finally, GCF of Fractions for 5733/77, 8263/962 is 1/74074.