Greatest Common Factor of 140/65, 6310/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/65, 6310/209

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 140/65,6310/209

Given fractions are 140/65,6310/209

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 140,6310

Greatest Common Factor of Numerators i.e. GCF of 140,6310 is 10 .

LCM of Denominators means LCM of 65,209 as per the given fractions.

LCM of 65,209 is 13585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,6310

GCF of Fractions 140/65,6310/209 is 10/13585

2 140, 6310
5 70, 3155
14, 631

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 140,6310 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,6310 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 6310

List of positive integer factors of 6310 that divides 6310 without a remainder.

1,2,5,10,631,1262,3155,6310

Greatest Common Factor

We found the factors 140,6310 . The biggest common factor number is the GCF number.
So the greatest common factor 140,6310 is 10.

Lets's calculate LCM of 65,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 13585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/13585

Therefore, the GCF of Fractions 140/65,6310/209 is 10/13585

Least Common Multiple of 65,209 with GCF Formula

Least Common Multiple of 65,209 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 65,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,209) = 1

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

GCF(65,209) x common factors =1 x 1 = 1

LCM(65,209) = ( 65 × 209 ) / 1

LCM(65,209) = 13585 / 1

LCM(65,209) = 13585


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 140/65, 6310/209

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 140/65, 6310/209?

Answer: GCF of Numerators as per given numbers 140/65, 6310/209 is

GCF of Numerators i.e. for 140,6310 is 10

LCM of denominators i.e. for 65,209 is 13585.

Thus, GCF of Fractions is 10/13585.Finally, GCF of Fractions for 140/65, 6310/209 is 10/13585.