Greatest Common Factor of 5014/945, 3861/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5014/945, 3861/756

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 5014/945,3861/756

Given fractions are 5014/945,3861/756

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 5014,3861

Greatest Common Factor of Numerators i.e. GCF of 5014,3861 is 1 .

LCM of Denominators means LCM of 945,756 as per the given fractions.

LCM of 945,756 is 3780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5014,3861

GCF of Fractions 5014/945,3861/756 is 1/3780

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

Greatest Common Factor of 5014,3861 By Matching Biggest Common Factor Method

Greatest Common Factor of 5014,3861 By Matching Biggest Common Factor Method

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1,2,23,46,109,218,2507,5014

Factors of 3861

List of positive integer factors of 3861 that divides 3861 without a remainder.

1,3,9,11,13,27,33,39,99,117,143,297,351,429,1287,3861

Greatest Common Factor

We found the factors 5014,3861 . The biggest common factor number is the GCF number.
So the greatest common factor 5014,3861 is 1.

Lets's calculate LCM of 945,756

3 945, 756
3 315, 252
3 105, 84
7 35, 28
5, 4

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 5 x 4 = 3780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3780

Therefore, the GCF of Fractions 5014/945,3861/756 is 1/3780

Least Common Multiple of 945,756 with GCF Formula

Least Common Multiple of 945,756 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 945,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,756) = 189

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

GCF(945,756) x common factors =189 x 1 = 189

LCM(945,756) = ( 945 × 756 ) / 189

LCM(945,756) = 714420 / 189

LCM(945,756) = 3780


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 5014/945, 3861/756

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 5014/945, 3861/756?

Answer: GCF of Numerators as per given numbers 5014/945, 3861/756 is

GCF of Numerators i.e. for 5014,3861 is 1

LCM of denominators i.e. for 945,756 is 3780.

Thus, GCF of Fractions is 1/3780.Finally, GCF of Fractions for 5014/945, 3861/756 is 1/3780.