Greatest Common Factor of 7001/702, 4533/7659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7001/702, 4533/7659

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 7001/702,4533/7659

Given fractions are 7001/702,4533/7659

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 7001,4533

Greatest Common Factor of Numerators i.e. GCF of 7001,4533 is 1 .

LCM of Denominators means LCM of 702,7659 as per the given fractions.

LCM of 702,7659 is 597402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7001,4533

GCF of Fractions 7001/702,4533/7659 is 1/597402

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

Greatest Common Factor of 7001,4533 By Matching Biggest Common Factor Method

Greatest Common Factor of 7001,4533 By Matching Biggest Common Factor Method

Factors of 7001

List of positive integer factors of 7001 that divides 7001 without a remainder.

1,7001

Factors of 4533

List of positive integer factors of 4533 that divides 4533 without a remainder.

1,3,1511,4533

Greatest Common Factor

We found the factors 7001,4533 . The biggest common factor number is the GCF number.
So the greatest common factor 7001,4533 is 1.

Lets's calculate LCM of 702,7659

3 702, 7659
3 234, 2553
78, 851

∴ So the LCM of the given numbers is 3 x 3 x 78 x 851 = 597402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597402

Therefore, the GCF of Fractions 7001/702,4533/7659 is 1/597402

Least Common Multiple of 702,7659 with GCF Formula

Least Common Multiple of 702,7659 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 702,7659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,7659) = 9

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

GCF(702,7659) x common factors =9 x 1 = 9

LCM(702,7659) = ( 702 × 7659 ) / 9

LCM(702,7659) = 5376618 / 9

LCM(702,7659) = 597402


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 7001/702, 4533/7659

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 7001/702, 4533/7659?

Answer: GCF of Numerators as per given numbers 7001/702, 4533/7659 is

GCF of Numerators i.e. for 7001,4533 is 1

LCM of denominators i.e. for 702,7659 is 597402.

Thus, GCF of Fractions is 1/597402.Finally, GCF of Fractions for 7001/702, 4533/7659 is 1/597402.