Greatest Common Factor of 787/204, 4688/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/204, 4688/840

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 787/204,4688/840

Given fractions are 787/204,4688/840

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 787,4688

Greatest Common Factor of Numerators i.e. GCF of 787,4688 is 1 .

LCM of Denominators means LCM of 204,840 as per the given fractions.

LCM of 204,840 is 14280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,4688

GCF of Fractions 787/204,4688/840 is 1/14280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 787,4688 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,4688 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1,2,4,8,16,293,586,1172,2344,4688

Greatest Common Factor

We found the factors 787,4688 . The biggest common factor number is the GCF number.
So the greatest common factor 787,4688 is 1.

Lets's calculate LCM of 204,840

2 204, 840
2 102, 420
3 51, 210
17, 70

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 70 = 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14280

Therefore, the GCF of Fractions 787/204,4688/840 is 1/14280

Least Common Multiple of 204,840 with GCF Formula

Least Common Multiple of 204,840 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 204,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,840) = 12

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

GCF(204,840) x common factors =12 x 1 = 12

LCM(204,840) = ( 204 × 840 ) / 12

LCM(204,840) = 171360 / 12

LCM(204,840) = 14280


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 787/204, 4688/840

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 787/204, 4688/840?

Answer: GCF of Numerators as per given numbers 787/204, 4688/840 is

GCF of Numerators i.e. for 787,4688 is 1

LCM of denominators i.e. for 204,840 is 14280.

Thus, GCF of Fractions is 1/14280.Finally, GCF of Fractions for 787/204, 4688/840 is 1/14280.