Greatest Common Factor of 3682/848, 1964/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3682/848, 1964/684

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 3682/848,1964/684

Given fractions are 3682/848,1964/684

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 3682,1964

Greatest Common Factor of Numerators i.e. GCF of 3682,1964 is 2 .

LCM of Denominators means LCM of 848,684 as per the given fractions.

LCM of 848,684 is 145008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3682,1964

GCF of Fractions 3682/848,1964/684 is 2/145008

2 3682, 1964
1841, 982

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

Greatest Common Factor of 3682,1964 By Matching Biggest Common Factor Method

Greatest Common Factor of 3682,1964 By Matching Biggest Common Factor Method

Factors of 3682

List of positive integer factors of 3682 that divides 3682 without a remainder.

1,2,7,14,263,526,1841,3682

Factors of 1964

List of positive integer factors of 1964 that divides 1964 without a remainder.

1,2,4,491,982,1964

Greatest Common Factor

We found the factors 3682,1964 . The biggest common factor number is the GCF number.
So the greatest common factor 3682,1964 is 2.

Lets's calculate LCM of 848,684

2 848, 684
2 424, 342
212, 171

∴ So the LCM of the given numbers is 2 x 2 x 212 x 171 = 145008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145008

Therefore, the GCF of Fractions 3682/848,1964/684 is 2/145008

Least Common Multiple of 848,684 with GCF Formula

Least Common Multiple of 848,684 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 848,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,684) = 4

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

GCF(848,684) x common factors =4 x 1 = 4

LCM(848,684) = ( 848 × 684 ) / 4

LCM(848,684) = 580032 / 4

LCM(848,684) = 145008


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 3682/848, 1964/684

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 3682/848, 1964/684?

Answer: GCF of Numerators as per given numbers 3682/848, 1964/684 is

GCF of Numerators i.e. for 3682,1964 is 2

LCM of denominators i.e. for 848,684 is 145008.

Thus, GCF of Fractions is 2/145008.Finally, GCF of Fractions for 3682/848, 1964/684 is 2/145008.