Greatest Common Factor of 7301/98, 7667/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7301/98, 7667/551

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 7301/98,7667/551

Given fractions are 7301/98,7667/551

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 7301,7667

Greatest Common Factor of Numerators i.e. GCF of 7301,7667 is 1 .

LCM of Denominators means LCM of 98,551 as per the given fractions.

LCM of 98,551 is 53998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7301,7667

GCF of Fractions 7301/98,7667/551 is 1/53998

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

Greatest Common Factor of 7301,7667 By Matching Biggest Common Factor Method

Greatest Common Factor of 7301,7667 By Matching Biggest Common Factor Method

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1,7,49,149,1043,7301

Factors of 7667

List of positive integer factors of 7667 that divides 7667 without a remainder.

1,11,17,41,187,451,697,7667

Greatest Common Factor

We found the factors 7301,7667 . The biggest common factor number is the GCF number.
So the greatest common factor 7301,7667 is 1.

Lets's calculate LCM of 98,551

Given numbers has no common factors except 1. So, there LCM is their product i.e 53998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53998

Therefore, the GCF of Fractions 7301/98,7667/551 is 1/53998

Least Common Multiple of 98,551 with GCF Formula

Least Common Multiple of 98,551 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 98,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,551) = 1

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

GCF(98,551) x common factors =1 x 1 = 1

LCM(98,551) = ( 98 × 551 ) / 1

LCM(98,551) = 53998 / 1

LCM(98,551) = 53998


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 7301/98, 7667/551

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 7301/98, 7667/551?

Answer: GCF of Numerators as per given numbers 7301/98, 7667/551 is

GCF of Numerators i.e. for 7301,7667 is 1

LCM of denominators i.e. for 98,551 is 53998.

Thus, GCF of Fractions is 1/53998.Finally, GCF of Fractions for 7301/98, 7667/551 is 1/53998.