Greatest Common Factor of 3569/994, 6948/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3569/994, 6948/654

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 3569/994,6948/654

Given fractions are 3569/994,6948/654

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 3569,6948

Greatest Common Factor of Numerators i.e. GCF of 3569,6948 is 1 .

LCM of Denominators means LCM of 994,654 as per the given fractions.

LCM of 994,654 is 325038 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3569,6948

GCF of Fractions 3569/994,6948/654 is 1/325038

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

Greatest Common Factor of 3569,6948 By Matching Biggest Common Factor Method

Greatest Common Factor of 3569,6948 By Matching Biggest Common Factor Method

Factors of 3569

List of positive integer factors of 3569 that divides 3569 without a remainder.

1,43,83,3569

Factors of 6948

List of positive integer factors of 6948 that divides 6948 without a remainder.

1,2,3,4,6,9,12,18,36,193,386,579,772,1158,1737,2316,3474,6948

Greatest Common Factor

We found the factors 3569,6948 . The biggest common factor number is the GCF number.
So the greatest common factor 3569,6948 is 1.

Lets's calculate LCM of 994,654

2 994, 654
497, 327

∴ So the LCM of the given numbers is 2 x 497 x 327 = 325038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325038

Therefore, the GCF of Fractions 3569/994,6948/654 is 1/325038

Least Common Multiple of 994,654 with GCF Formula

Least Common Multiple of 994,654 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 994,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,654) = 2

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

GCF(994,654) x common factors =2 x 1 = 2

LCM(994,654) = ( 994 × 654 ) / 2

LCM(994,654) = 650076 / 2

LCM(994,654) = 325038


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 3569/994, 6948/654

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 3569/994, 6948/654?

Answer: GCF of Numerators as per given numbers 3569/994, 6948/654 is

GCF of Numerators i.e. for 3569,6948 is 1

LCM of denominators i.e. for 994,654 is 325038.

Thus, GCF of Fractions is 1/325038.Finally, GCF of Fractions for 3569/994, 6948/654 is 1/325038.