Greatest Common Factor of 807/283, 9022/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/283, 9022/703

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 807/283,9022/703

Given fractions are 807/283,9022/703

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 807,9022

Greatest Common Factor of Numerators i.e. GCF of 807,9022 is 1 .

LCM of Denominators means LCM of 283,703 as per the given fractions.

LCM of 283,703 is 198949 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,9022

GCF of Fractions 807/283,9022/703 is 1/198949

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

Greatest Common Factor of 807,9022 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,9022 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 9022

List of positive integer factors of 9022 that divides 9022 without a remainder.

1,2,13,26,347,694,4511,9022

Greatest Common Factor

We found the factors 807,9022 . The biggest common factor number is the GCF number.
So the greatest common factor 807,9022 is 1.

Lets's calculate LCM of 283,703

Given numbers has no common factors except 1. So, there LCM is their product i.e 198949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198949

Therefore, the GCF of Fractions 807/283,9022/703 is 1/198949

Least Common Multiple of 283,703 with GCF Formula

Least Common Multiple of 283,703 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 283,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,703) = 1

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

GCF(283,703) x common factors =1 x 1 = 1

LCM(283,703) = ( 283 × 703 ) / 1

LCM(283,703) = 198949 / 1

LCM(283,703) = 198949


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 807/283, 9022/703

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 807/283, 9022/703?

Answer: GCF of Numerators as per given numbers 807/283, 9022/703 is

GCF of Numerators i.e. for 807,9022 is 1

LCM of denominators i.e. for 283,703 is 198949.

Thus, GCF of Fractions is 1/198949.Finally, GCF of Fractions for 807/283, 9022/703 is 1/198949.