Greatest Common Factor of 70/698, 2002/9639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/698, 2002/9639

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 70/698,2002/9639

Given fractions are 70/698,2002/9639

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 70,2002

Greatest Common Factor of Numerators i.e. GCF of 70,2002 is 14 .

LCM of Denominators means LCM of 698,9639 as per the given fractions.

LCM of 698,9639 is 6728022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,2002

GCF of Fractions 70/698,2002/9639 is 14/6728022

2 70, 2002
7 35, 1001
5, 143

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 70,2002 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,2002 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 2002

List of positive integer factors of 2002 that divides 2002 without a remainder.

1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002

Greatest Common Factor

We found the factors 70,2002 . The biggest common factor number is the GCF number.
So the greatest common factor 70,2002 is 14.

Lets's calculate LCM of 698,9639

Given numbers has no common factors except 1. So, there LCM is their product i.e 6728022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/6728022

Therefore, the GCF of Fractions 70/698,2002/9639 is 14/6728022

Least Common Multiple of 698,9639 with GCF Formula

Least Common Multiple of 698,9639 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 698,9639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,9639) = 1

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

GCF(698,9639) x common factors =1 x 1 = 1

LCM(698,9639) = ( 698 × 9639 ) / 1

LCM(698,9639) = 6728022 / 1

LCM(698,9639) = 6728022


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 70/698, 2002/9639

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 70/698, 2002/9639?

Answer: GCF of Numerators as per given numbers 70/698, 2002/9639 is

GCF of Numerators i.e. for 70,2002 is 14

LCM of denominators i.e. for 698,9639 is 6728022.

Thus, GCF of Fractions is 14/6728022.Finally, GCF of Fractions for 70/698, 2002/9639 is 14/6728022.