Greatest Common Factor of 787/210, 3852/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/210, 3852/694

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 787/210,3852/694

Given fractions are 787/210,3852/694

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 787,3852

Greatest Common Factor of Numerators i.e. GCF of 787,3852 is 1 .

LCM of Denominators means LCM of 210,694 as per the given fractions.

LCM of 210,694 is 72870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,3852

GCF of Fractions 787/210,3852/694 is 1/72870

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

Greatest Common Factor of 787,3852 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,3852 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 3852

List of positive integer factors of 3852 that divides 3852 without a remainder.

1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852

Greatest Common Factor

We found the factors 787,3852 . The biggest common factor number is the GCF number.
So the greatest common factor 787,3852 is 1.

Lets's calculate LCM of 210,694

2 210, 694
105, 347

∴ So the LCM of the given numbers is 2 x 105 x 347 = 72870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72870

Therefore, the GCF of Fractions 787/210,3852/694 is 1/72870

Least Common Multiple of 210,694 with GCF Formula

Least Common Multiple of 210,694 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 210,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,694) = 2

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

GCF(210,694) x common factors =2 x 1 = 2

LCM(210,694) = ( 210 × 694 ) / 2

LCM(210,694) = 145740 / 2

LCM(210,694) = 72870


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 787/210, 3852/694

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 787/210, 3852/694?

Answer: GCF of Numerators as per given numbers 787/210, 3852/694 is

GCF of Numerators i.e. for 787,3852 is 1

LCM of denominators i.e. for 210,694 is 72870.

Thus, GCF of Fractions is 1/72870.Finally, GCF of Fractions for 787/210, 3852/694 is 1/72870.