Greatest Common Factor of 6997/60, 5495/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6997/60, 5495/401

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 6997/60,5495/401

Given fractions are 6997/60,5495/401

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 6997,5495

Greatest Common Factor of Numerators i.e. GCF of 6997,5495 is 1 .

LCM of Denominators means LCM of 60,401 as per the given fractions.

LCM of 60,401 is 24060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6997,5495

GCF of Fractions 6997/60,5495/401 is 1/24060

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

Greatest Common Factor of 6997,5495 By Matching Biggest Common Factor Method

Greatest Common Factor of 6997,5495 By Matching Biggest Common Factor Method

Factors of 6997

List of positive integer factors of 6997 that divides 6997 without a remainder.

1,6997

Factors of 5495

List of positive integer factors of 5495 that divides 5495 without a remainder.

1,5,7,35,157,785,1099,5495

Greatest Common Factor

We found the factors 6997,5495 . The biggest common factor number is the GCF number.
So the greatest common factor 6997,5495 is 1.

Lets's calculate LCM of 60,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 24060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24060

Therefore, the GCF of Fractions 6997/60,5495/401 is 1/24060

Least Common Multiple of 60,401 with GCF Formula

Least Common Multiple of 60,401 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 60,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,401) = 1

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

GCF(60,401) x common factors =1 x 1 = 1

LCM(60,401) = ( 60 × 401 ) / 1

LCM(60,401) = 24060 / 1

LCM(60,401) = 24060


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 6997/60, 5495/401

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 6997/60, 5495/401?

Answer: GCF of Numerators as per given numbers 6997/60, 5495/401 is

GCF of Numerators i.e. for 6997,5495 is 1

LCM of denominators i.e. for 60,401 is 24060.

Thus, GCF of Fractions is 1/24060.Finally, GCF of Fractions for 6997/60, 5495/401 is 1/24060.