Greatest Common Factor of 7022/746, 8473/4883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7022/746, 8473/4883

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 7022/746,8473/4883

Given fractions are 7022/746,8473/4883

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 7022,8473

Greatest Common Factor of Numerators i.e. GCF of 7022,8473 is 1 .

LCM of Denominators means LCM of 746,4883 as per the given fractions.

LCM of 746,4883 is 3642718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7022,8473

GCF of Fractions 7022/746,8473/4883 is 1/3642718

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

Greatest Common Factor of 7022,8473 By Matching Biggest Common Factor Method

Greatest Common Factor of 7022,8473 By Matching Biggest Common Factor Method

Factors of 7022

List of positive integer factors of 7022 that divides 7022 without a remainder.

1,2,3511,7022

Factors of 8473

List of positive integer factors of 8473 that divides 8473 without a remainder.

1,37,229,8473

Greatest Common Factor

We found the factors 7022,8473 . The biggest common factor number is the GCF number.
So the greatest common factor 7022,8473 is 1.

Lets's calculate LCM of 746,4883

Given numbers has no common factors except 1. So, there LCM is their product i.e 3642718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3642718

Therefore, the GCF of Fractions 7022/746,8473/4883 is 1/3642718

Least Common Multiple of 746,4883 with GCF Formula

Least Common Multiple of 746,4883 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 746,4883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,4883) = 1

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

GCF(746,4883) x common factors =1 x 1 = 1

LCM(746,4883) = ( 746 × 4883 ) / 1

LCM(746,4883) = 3642718 / 1

LCM(746,4883) = 3642718


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 7022/746, 8473/4883

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 7022/746, 8473/4883?

Answer: GCF of Numerators as per given numbers 7022/746, 8473/4883 is

GCF of Numerators i.e. for 7022,8473 is 1

LCM of denominators i.e. for 746,4883 is 3642718.

Thus, GCF of Fractions is 1/3642718.Finally, GCF of Fractions for 7022/746, 8473/4883 is 1/3642718.