Greatest Common Factor of 682/620, 7095/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/620, 7095/998

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 682/620,7095/998

Given fractions are 682/620,7095/998

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 682,7095

Greatest Common Factor of Numerators i.e. GCF of 682,7095 is 11 .

LCM of Denominators means LCM of 620,998 as per the given fractions.

LCM of 620,998 is 309380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,7095

GCF of Fractions 682/620,7095/998 is 11/309380

11 682, 7095
62, 645

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 682,7095 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,7095 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095

Greatest Common Factor

We found the factors 682,7095 . The biggest common factor number is the GCF number.
So the greatest common factor 682,7095 is 11.

Lets's calculate LCM of 620,998

2 620, 998
310, 499

∴ So the LCM of the given numbers is 2 x 310 x 499 = 309380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/309380

Therefore, the GCF of Fractions 682/620,7095/998 is 11/309380

Least Common Multiple of 620,998 with GCF Formula

Least Common Multiple of 620,998 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 620,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,998) = 2

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

GCF(620,998) x common factors =2 x 1 = 2

LCM(620,998) = ( 620 × 998 ) / 2

LCM(620,998) = 618760 / 2

LCM(620,998) = 309380


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 682/620, 7095/998

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 682/620, 7095/998?

Answer: GCF of Numerators as per given numbers 682/620, 7095/998 is

GCF of Numerators i.e. for 682,7095 is 11

LCM of denominators i.e. for 620,998 is 309380.

Thus, GCF of Fractions is 11/309380.Finally, GCF of Fractions for 682/620, 7095/998 is 11/309380.