Greatest Common Factor of 7686/897, 3053/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7686/897, 3053/301

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 7686/897,3053/301

Given fractions are 7686/897,3053/301

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 7686,3053

Greatest Common Factor of Numerators i.e. GCF of 7686,3053 is 1 .

LCM of Denominators means LCM of 897,301 as per the given fractions.

LCM of 897,301 is 269997 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7686,3053

GCF of Fractions 7686/897,3053/301 is 1/269997

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

Greatest Common Factor of 7686,3053 By Matching Biggest Common Factor Method

Greatest Common Factor of 7686,3053 By Matching Biggest Common Factor Method

Factors of 7686

List of positive integer factors of 7686 that divides 7686 without a remainder.

1,2,3,6,7,9,14,18,21,42,61,63,122,126,183,366,427,549,854,1098,1281,2562,3843,7686

Factors of 3053

List of positive integer factors of 3053 that divides 3053 without a remainder.

1,43,71,3053

Greatest Common Factor

We found the factors 7686,3053 . The biggest common factor number is the GCF number.
So the greatest common factor 7686,3053 is 1.

Lets's calculate LCM of 897,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 269997

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269997

Therefore, the GCF of Fractions 7686/897,3053/301 is 1/269997

Least Common Multiple of 897,301 with GCF Formula

Least Common Multiple of 897,301 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 897,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,301) = 1

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

GCF(897,301) x common factors =1 x 1 = 1

LCM(897,301) = ( 897 × 301 ) / 1

LCM(897,301) = 269997 / 1

LCM(897,301) = 269997


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 7686/897, 3053/301

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 7686/897, 3053/301?

Answer: GCF of Numerators as per given numbers 7686/897, 3053/301 is

GCF of Numerators i.e. for 7686,3053 is 1

LCM of denominators i.e. for 897,301 is 269997.

Thus, GCF of Fractions is 1/269997.Finally, GCF of Fractions for 7686/897, 3053/301 is 1/269997.