Greatest Common Factor of 8440/176, 6700/2497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8440/176, 6700/2497

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 8440/176,6700/2497

Given fractions are 8440/176,6700/2497

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 8440,6700

Greatest Common Factor of Numerators i.e. GCF of 8440,6700 is 20 .

LCM of Denominators means LCM of 176,2497 as per the given fractions.

LCM of 176,2497 is 39952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8440,6700

GCF of Fractions 8440/176,6700/2497 is 20/39952

2 8440, 6700
2 4220, 3350
5 2110, 1675
422, 335

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 8440,6700 By Matching Biggest Common Factor Method

Greatest Common Factor of 8440,6700 By Matching Biggest Common Factor Method

Factors of 8440

List of positive integer factors of 8440 that divides 8440 without a remainder.

1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440

Factors of 6700

List of positive integer factors of 6700 that divides 6700 without a remainder.

1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700

Greatest Common Factor

We found the factors 8440,6700 . The biggest common factor number is the GCF number.
So the greatest common factor 8440,6700 is 20.

Lets's calculate LCM of 176,2497

11 176, 2497
16, 227

∴ So the LCM of the given numbers is 11 x 16 x 227 = 39952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/39952

Therefore, the GCF of Fractions 8440/176,6700/2497 is 20/39952

Least Common Multiple of 176,2497 with GCF Formula

Least Common Multiple of 176,2497 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 176,2497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,2497) = 11

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

GCF(176,2497) x common factors =11 x 1 = 11

LCM(176,2497) = ( 176 × 2497 ) / 11

LCM(176,2497) = 439472 / 11

LCM(176,2497) = 39952


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 8440/176, 6700/2497

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 8440/176, 6700/2497?

Answer: GCF of Numerators as per given numbers 8440/176, 6700/2497 is

GCF of Numerators i.e. for 8440,6700 is 20

LCM of denominators i.e. for 176,2497 is 39952.

Thus, GCF of Fractions is 20/39952.Finally, GCF of Fractions for 8440/176, 6700/2497 is 20/39952.