LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 982/978, 7359/5404

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 982/978, 7359/5404 i.e 1/2642556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 982/978, 7359/5404.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 982/978,7359/5404?

Given fractions are 982/978,7359/5404

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 982/978,7359/5404, numerators are 982,7359

Denominators are 978,5404

The GCF of 982,7359 is 1 .

LCM of 978,5404 is 2642556.

The greatest common factor of 982/978,7359/5404 = [GCF of 982,7359]/[LCM of 978,5404]= 1/2642556

Therefore, the GCF of 982/978,7359/5404 is 1/2642556.

Greatest Common Factor of 982,7359

To find the highest common factor of 982,7359, we have to find the factors of both numbers and list the highest common factor.

The factors of 982 are 1, 2, 491, 982

The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359

The HCF of 982,7359 is 1.

Lets's calculate GCF of 982,7359

Greatest Common Factor (GCF) of 982,7359 By Common Division

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

Greatest Common Factor of 982,7359 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,7359 By Matching Biggest Common Factor Method

Now, list down the factors of 982

:

1,2,491,982

Now, list down the factors of 7359

:

1,3,11,33,223,669,2453,7359

Greatest Common Factor

We found the factors 982,7359 . The biggest common factor number is the GCF number.
So the greatest common factor 982,7359 is 1.

Lets's calculate LCM of 978,5404

Lowest Common Multiple of 978,5404 using Common Division

2 978, 5404
489, 2702

∴ So the LCM of the given numbers is 2 x 489 x 2702 = 2642556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2642556

Therefore, the GCF of Fractions 982/978,7359/5404 is 1/2642556

Least Common Multiple of 978,5404 with GCF Formula

Least Common Multiple of 978,5404 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 978,5404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,5404) = 2

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

GCF(978,5404) x common factors =2 x 1 = 2

LCM(978,5404) = ( 978 × 5404 ) / 2

LCM(978,5404) = 5285112 / 2

LCM(978,5404) = 2642556


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 982/978, 7359/5404

1. What is the HCF of 982,7359?

The HCF of 982,7359 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 982/978, 7359/5404?

Answer: GCF of Numerators as per given numbers 982/978, 7359/5404 is

GCF of Numerators i.e. for 982,7359 is 1

LCM of denominators i.e. for 978,5404 is 2642556.

Thus, GCF of Fractions is 1/2642556.Finally, GCF of Fractions for 982/978, 7359/5404 is 1/2642556.