Greatest Common Factor of 6097/84, 5345/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6097/84, 5345/701

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 6097/84,5345/701

Given fractions are 6097/84,5345/701

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 6097,5345

Greatest Common Factor of Numerators i.e. GCF of 6097,5345 is 1 .

LCM of Denominators means LCM of 84,701 as per the given fractions.

LCM of 84,701 is 58884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6097,5345

GCF of Fractions 6097/84,5345/701 is 1/58884

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

Greatest Common Factor of 6097,5345 By Matching Biggest Common Factor Method

Greatest Common Factor of 6097,5345 By Matching Biggest Common Factor Method

Factors of 6097

List of positive integer factors of 6097 that divides 6097 without a remainder.

1,7,13,67,91,469,871,6097

Factors of 5345

List of positive integer factors of 5345 that divides 5345 without a remainder.

1,5,1069,5345

Greatest Common Factor

We found the factors 6097,5345 . The biggest common factor number is the GCF number.
So the greatest common factor 6097,5345 is 1.

Lets's calculate LCM of 84,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 58884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58884

Therefore, the GCF of Fractions 6097/84,5345/701 is 1/58884

Least Common Multiple of 84,701 with GCF Formula

Least Common Multiple of 84,701 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 84,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,701) = 1

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

GCF(84,701) x common factors =1 x 1 = 1

LCM(84,701) = ( 84 × 701 ) / 1

LCM(84,701) = 58884 / 1

LCM(84,701) = 58884


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 6097/84, 5345/701

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 6097/84, 5345/701?

Answer: GCF of Numerators as per given numbers 6097/84, 5345/701 is

GCF of Numerators i.e. for 6097,5345 is 1

LCM of denominators i.e. for 84,701 is 58884.

Thus, GCF of Fractions is 1/58884.Finally, GCF of Fractions for 6097/84, 5345/701 is 1/58884.