Greatest Common Factor of 7897/112, 5467/5489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7897/112, 5467/5489

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 7897/112,5467/5489

Given fractions are 7897/112,5467/5489

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 7897,5467

Greatest Common Factor of Numerators i.e. GCF of 7897,5467 is 1 .

LCM of Denominators means LCM of 112,5489 as per the given fractions.

LCM of 112,5489 is 614768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7897,5467

GCF of Fractions 7897/112,5467/5489 is 1/614768

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

Greatest Common Factor of 7897,5467 By Matching Biggest Common Factor Method

Greatest Common Factor of 7897,5467 By Matching Biggest Common Factor Method

Factors of 7897

List of positive integer factors of 7897 that divides 7897 without a remainder.

1,53,149,7897

Factors of 5467

List of positive integer factors of 5467 that divides 5467 without a remainder.

1,7,11,71,77,497,781,5467

Greatest Common Factor

We found the factors 7897,5467 . The biggest common factor number is the GCF number.
So the greatest common factor 7897,5467 is 1.

Lets's calculate LCM of 112,5489

Given numbers has no common factors except 1. So, there LCM is their product i.e 614768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614768

Therefore, the GCF of Fractions 7897/112,5467/5489 is 1/614768

Least Common Multiple of 112,5489 with GCF Formula

Least Common Multiple of 112,5489 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 112,5489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,5489) = 1

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

GCF(112,5489) x common factors =1 x 1 = 1

LCM(112,5489) = ( 112 × 5489 ) / 1

LCM(112,5489) = 614768 / 1

LCM(112,5489) = 614768


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 7897/112, 5467/5489

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 7897/112, 5467/5489?

Answer: GCF of Numerators as per given numbers 7897/112, 5467/5489 is

GCF of Numerators i.e. for 7897,5467 is 1

LCM of denominators i.e. for 112,5489 is 614768.

Thus, GCF of Fractions is 1/614768.Finally, GCF of Fractions for 7897/112, 5467/5489 is 1/614768.