Greatest Common Factor of 2994/701, 6990/1461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2994/701, 6990/1461

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 2994/701,6990/1461

Given fractions are 2994/701,6990/1461

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 2994,6990

Greatest Common Factor of Numerators i.e. GCF of 2994,6990 is 6 .

LCM of Denominators means LCM of 701,1461 as per the given fractions.

LCM of 701,1461 is 1024161 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2994,6990

GCF of Fractions 2994/701,6990/1461 is 6/1024161

2 2994, 6990
3 1497, 3495
499, 1165

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2994,6990 By Matching Biggest Common Factor Method

Greatest Common Factor of 2994,6990 By Matching Biggest Common Factor Method

Factors of 2994

List of positive integer factors of 2994 that divides 2994 without a remainder.

1,2,3,6,499,998,1497,2994

Factors of 6990

List of positive integer factors of 6990 that divides 6990 without a remainder.

1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990

Greatest Common Factor

We found the factors 2994,6990 . The biggest common factor number is the GCF number.
So the greatest common factor 2994,6990 is 6.

Lets's calculate LCM of 701,1461

Given numbers has no common factors except 1. So, there LCM is their product i.e 1024161

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1024161

Therefore, the GCF of Fractions 2994/701,6990/1461 is 6/1024161

Least Common Multiple of 701,1461 with GCF Formula

Least Common Multiple of 701,1461 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 701,1461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,1461) = 1

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

GCF(701,1461) x common factors =1 x 1 = 1

LCM(701,1461) = ( 701 × 1461 ) / 1

LCM(701,1461) = 1024161 / 1

LCM(701,1461) = 1024161


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 2994/701, 6990/1461

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 2994/701, 6990/1461?

Answer: GCF of Numerators as per given numbers 2994/701, 6990/1461 is

GCF of Numerators i.e. for 2994,6990 is 6

LCM of denominators i.e. for 701,1461 is 1024161.

Thus, GCF of Fractions is 6/1024161.Finally, GCF of Fractions for 2994/701, 6990/1461 is 6/1024161.