How to Find GCF of 9978/320, 6833/487?

GCF of 9978/320, 6833/487

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 9978/320, 6833/487 i.e 1/155840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9978/320, 6833/487.

Enter two or more fractions separated by "commas"

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

What is the GCF of 9978/320,6833/487?

Given fractions are 9978/320,6833/487

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 9978/320,6833/487, numerators are 9978,6833

Denominators are 320,487

The GCF of 9978,6833 is 1 .

LCM of 320,487 is 155840.

The greatest common factor of 9978/320,6833/487 = [GCF of 9978,6833]/[LCM of 320,487]= 1/155840

Therefore, the GCF of 9978/320,6833/487 is 1/155840.

Greatest Common Factor of 9978,6833

To find the highest common factor of 9978,6833, we have to find the factors of both numbers and list the highest common factor.

The factors of 9978 are 1, 2, 3, 6, 1663, 3326, 4989, 9978

The factors of 6833 are 1, 6833

The HCF of 9978,6833 is 1.

Lets's calculate GCF of 9978,6833

Greatest Common Factor (GCF) of 9978,6833 By Common Division

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

Greatest Common Factor of 9978,6833 By Matching Biggest Common Factor Method

Now, list down the factors of 9978

1,2,3,6,1663,3326,4989,9978

Now, list down the factors of 6833

1,6833

Greatest Common Factor

We found the factors 9978,6833 . The biggest common factor number is the GCF number.
So the greatest common factor 9978,6833 is 1.

Lets's calculate LCM of 320,487

Lowest Common Multiple of 320,487 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 155840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155840

Therefore, the GCF of Fractions 9978/320,6833/487 is 1/155840

Least Common Multiple of 320,487 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 320,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,487) = 1

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

GCF(320,487) x common factors =1 x 1 = 1

LCM(320,487) = ( 320 × 487 ) / 1

LCM(320,487) = 155840 / 1

LCM(320,487) = 155840

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FAQs on GCF of Fractions of 9978/320, 6833/487

1. What is the HCF of 9978,6833?

The HCF of 9978,6833 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 9978/320, 6833/487?

Answer: GCF of Numerators as per given numbers 9978/320, 6833/487 is

GCF of Numerators i.e. for 9978,6833 is 1

LCM of denominators i.e. for 320,487 is 155840.

Thus, GCF of Fractions is 1/155840.Finally, GCF of Fractions for 9978/320, 6833/487 is 1/155840.