Greatest Common Factor of 749/98, 6993/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 749/98, 6993/425

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 749/98,6993/425

Given fractions are 749/98,6993/425

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 749,6993

Greatest Common Factor of Numerators i.e. GCF of 749,6993 is 7 .

LCM of Denominators means LCM of 98,425 as per the given fractions.

LCM of 98,425 is 41650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 749,6993

GCF of Fractions 749/98,6993/425 is 7/41650

7 749, 6993
107, 999

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

Greatest Common Factor of 749,6993 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,6993 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

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

Greatest Common Factor

We found the factors 749,6993 . The biggest common factor number is the GCF number.
So the greatest common factor 749,6993 is 7.

Lets's calculate LCM of 98,425

Given numbers has no common factors except 1. So, there LCM is their product i.e 41650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/41650

Therefore, the GCF of Fractions 749/98,6993/425 is 7/41650

Least Common Multiple of 98,425 with GCF Formula

Least Common Multiple of 98,425 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 98,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,425) = 1

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

GCF(98,425) x common factors =1 x 1 = 1

LCM(98,425) = ( 98 × 425 ) / 1

LCM(98,425) = 41650 / 1

LCM(98,425) = 41650


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 749/98, 6993/425

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 749/98, 6993/425?

Answer: GCF of Numerators as per given numbers 749/98, 6993/425 is

GCF of Numerators i.e. for 749,6993 is 7

LCM of denominators i.e. for 98,425 is 41650.

Thus, GCF of Fractions is 7/41650.Finally, GCF of Fractions for 749/98, 6993/425 is 7/41650.