Greatest Common Factor of 7484/966, 1892/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7484/966, 1892/684

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 7484/966,1892/684

Given fractions are 7484/966,1892/684

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 7484,1892

Greatest Common Factor of Numerators i.e. GCF of 7484,1892 is 4 .

LCM of Denominators means LCM of 966,684 as per the given fractions.

LCM of 966,684 is 110124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7484,1892

GCF of Fractions 7484/966,1892/684 is 4/110124

2 7484, 1892
2 3742, 946
1871, 473

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

Greatest Common Factor of 7484,1892 By Matching Biggest Common Factor Method

Greatest Common Factor of 7484,1892 By Matching Biggest Common Factor Method

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1,2,4,1871,3742,7484

Factors of 1892

List of positive integer factors of 1892 that divides 1892 without a remainder.

1,2,4,11,22,43,44,86,172,473,946,1892

Greatest Common Factor

We found the factors 7484,1892 . The biggest common factor number is the GCF number.
So the greatest common factor 7484,1892 is 4.

Lets's calculate LCM of 966,684

2 966, 684
3 483, 342
161, 114

∴ So the LCM of the given numbers is 2 x 3 x 161 x 114 = 110124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/110124

Therefore, the GCF of Fractions 7484/966,1892/684 is 4/110124

Least Common Multiple of 966,684 with GCF Formula

Least Common Multiple of 966,684 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 966,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,684) = 6

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

GCF(966,684) x common factors =6 x 1 = 6

LCM(966,684) = ( 966 × 684 ) / 6

LCM(966,684) = 660744 / 6

LCM(966,684) = 110124


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 7484/966, 1892/684

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 7484/966, 1892/684?

Answer: GCF of Numerators as per given numbers 7484/966, 1892/684 is

GCF of Numerators i.e. for 7484,1892 is 4

LCM of denominators i.e. for 966,684 is 110124.

Thus, GCF of Fractions is 4/110124.Finally, GCF of Fractions for 7484/966, 1892/684 is 4/110124.