Greatest Common Factor of 7012/566, 3784/1918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7012/566, 3784/1918

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 7012/566,3784/1918

Given fractions are 7012/566,3784/1918

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 7012,3784

Greatest Common Factor of Numerators i.e. GCF of 7012,3784 is 4 .

LCM of Denominators means LCM of 566,1918 as per the given fractions.

LCM of 566,1918 is 542794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7012,3784

GCF of Fractions 7012/566,3784/1918 is 4/542794

2 7012, 3784
2 3506, 1892
1753, 946

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7012,3784 By Matching Biggest Common Factor Method

Greatest Common Factor of 7012,3784 By Matching Biggest Common Factor Method

Factors of 7012

List of positive integer factors of 7012 that divides 7012 without a remainder.

1,2,4,1753,3506,7012

Factors of 3784

List of positive integer factors of 3784 that divides 3784 without a remainder.

1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784

Greatest Common Factor

We found the factors 7012,3784 . The biggest common factor number is the GCF number.
So the greatest common factor 7012,3784 is 4.

Lets's calculate LCM of 566,1918

2 566, 1918
283, 959

∴ So the LCM of the given numbers is 2 x 283 x 959 = 542794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/542794

Therefore, the GCF of Fractions 7012/566,3784/1918 is 4/542794

Least Common Multiple of 566,1918 with GCF Formula

Least Common Multiple of 566,1918 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 566,1918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,1918) = 2

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

GCF(566,1918) x common factors =2 x 1 = 2

LCM(566,1918) = ( 566 × 1918 ) / 2

LCM(566,1918) = 1085588 / 2

LCM(566,1918) = 542794


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 7012/566, 3784/1918

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 7012/566, 3784/1918?

Answer: GCF of Numerators as per given numbers 7012/566, 3784/1918 is

GCF of Numerators i.e. for 7012,3784 is 4

LCM of denominators i.e. for 566,1918 is 542794.

Thus, GCF of Fractions is 4/542794.Finally, GCF of Fractions for 7012/566, 3784/1918 is 4/542794.