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GCF of 978/73, 971/280

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 978/73, 971/280 i.e 1/20440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 978/73, 971/280.

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 978/73,971/280?

Given fractions are 978/73,971/280

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 978/73,971/280, numerators are 978,971

Denominators are 73,280

The GCF of 978,971 is 1 .

LCM of 73,280 is 20440.

The greatest common factor of 978/73,971/280 = [GCF of 978,971]/[LCM of 73,280]= 1/20440

Therefore, the GCF of 978/73,971/280 is 1/20440.

Greatest Common Factor of 978,971

To find the highest common factor of 978,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978

The factors of 971 are 1, 971

The HCF of 978,971 is 1.

Lets's calculate GCF of 978,971

Greatest Common Factor (GCF) of 978,971 By Common Division

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

Greatest Common Factor of 978,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,971 By Matching Biggest Common Factor Method

Now, list down the factors of 978

:

1,2,3,6,163,326,489,978

Now, list down the factors of 971

:

1,971

Greatest Common Factor

We found the factors 978,971 . The biggest common factor number is the GCF number.
So the greatest common factor 978,971 is 1.

Lets's calculate LCM of 73,280

Lowest Common Multiple of 73,280 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20440

Therefore, the GCF of Fractions 978/73,971/280 is 1/20440

Least Common Multiple of 73,280 with GCF Formula

Least Common Multiple of 73,280 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 73,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,280) = 1

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

GCF(73,280) x common factors =1 x 1 = 1

LCM(73,280) = ( 73 × 280 ) / 1

LCM(73,280) = 20440 / 1

LCM(73,280) = 20440


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FAQs on GCF of Fractions of 978/73, 971/280

1. What is the HCF of 978,971?

The HCF of 978,971 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 978/73, 971/280?

Answer: GCF of Numerators as per given numbers 978/73, 971/280 is

GCF of Numerators i.e. for 978,971 is 1

LCM of denominators i.e. for 73,280 is 20440.

Thus, GCF of Fractions is 1/20440.Finally, GCF of Fractions for 978/73, 971/280 is 1/20440.