Greatest Common Factor of 140/693, 686/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/693, 686/515

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 140/693,686/515

Given fractions are 140/693,686/515

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 140,686

Greatest Common Factor of Numerators i.e. GCF of 140,686 is 14 .

LCM of Denominators means LCM of 693,515 as per the given fractions.

LCM of 693,515 is 356895 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,686

GCF of Fractions 140/693,686/515 is 14/356895

2 140, 686
7 70, 343
10, 49

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

Greatest Common Factor of 140,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,686 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 140,686 . The biggest common factor number is the GCF number.
So the greatest common factor 140,686 is 14.

Lets's calculate LCM of 693,515

Given numbers has no common factors except 1. So, there LCM is their product i.e 356895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/356895

Therefore, the GCF of Fractions 140/693,686/515 is 14/356895

Least Common Multiple of 693,515 with GCF Formula

Least Common Multiple of 693,515 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 693,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,515) = 1

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

GCF(693,515) x common factors =1 x 1 = 1

LCM(693,515) = ( 693 × 515 ) / 1

LCM(693,515) = 356895 / 1

LCM(693,515) = 356895


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 140/693, 686/515

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 140/693, 686/515?

Answer: GCF of Numerators as per given numbers 140/693, 686/515 is

GCF of Numerators i.e. for 140,686 is 14

LCM of denominators i.e. for 693,515 is 356895.

Thus, GCF of Fractions is 14/356895.Finally, GCF of Fractions for 140/693, 686/515 is 14/356895.