Greatest Common Factor of 6993/43, 5488/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6993/43, 5488/402

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 6993/43,5488/402

Given fractions are 6993/43,5488/402

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 6993,5488

Greatest Common Factor of Numerators i.e. GCF of 6993,5488 is 7 .

LCM of Denominators means LCM of 43,402 as per the given fractions.

LCM of 43,402 is 17286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6993,5488

GCF of Fractions 6993/43,5488/402 is 7/17286

7 6993, 5488
999, 784

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6993,5488 By Matching Biggest Common Factor Method

Greatest Common Factor of 6993,5488 By Matching Biggest Common Factor Method

Factors of 6993

List of positive integer factors of 6993 that divides 6993 without a remainder.

1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993

Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488

Greatest Common Factor

We found the factors 6993,5488 . The biggest common factor number is the GCF number.
So the greatest common factor 6993,5488 is 7.

Lets's calculate LCM of 43,402

Given numbers has no common factors except 1. So, there LCM is their product i.e 17286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/17286

Therefore, the GCF of Fractions 6993/43,5488/402 is 7/17286

Least Common Multiple of 43,402 with GCF Formula

Least Common Multiple of 43,402 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 43,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,402) = 1

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

GCF(43,402) x common factors =1 x 1 = 1

LCM(43,402) = ( 43 × 402 ) / 1

LCM(43,402) = 17286 / 1

LCM(43,402) = 17286


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 6993/43, 5488/402

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 6993/43, 5488/402?

Answer: GCF of Numerators as per given numbers 6993/43, 5488/402 is

GCF of Numerators i.e. for 6993,5488 is 7

LCM of denominators i.e. for 43,402 is 17286.

Thus, GCF of Fractions is 7/17286.Finally, GCF of Fractions for 6993/43, 5488/402 is 7/17286.