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GCF of 978/976, 6771/7557

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 978/976, 6771/7557 i.e 3/7375632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 978/976, 6771/7557.

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 978/976,6771/7557?

Given fractions are 978/976,6771/7557

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 978/976,6771/7557, numerators are 978,6771

Denominators are 976,7557

The GCF of 978,6771 is 3 .

LCM of 976,7557 is 7375632.

The greatest common factor of 978/976,6771/7557 = [GCF of 978,6771]/[LCM of 976,7557]= 3/7375632

Therefore, the GCF of 978/976,6771/7557 is 3/7375632.

Greatest Common Factor of 978,6771

To find the highest common factor of 978,6771, 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 6771 are 1, 3, 37, 61, 111, 183, 2257, 6771

The HCF of 978,6771 is 3.

Lets's calculate GCF of 978,6771

Greatest Common Factor (GCF) of 978,6771 By Common Division

3 978, 6771
326, 2257

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 978,6771 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,6771 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 6771

:

1,3,37,61,111,183,2257,6771

Greatest Common Factor

We found the factors 978,6771 . The biggest common factor number is the GCF number.
So the greatest common factor 978,6771 is 3.


Lets's calculate LCM of 976,7557

Lowest Common Multiple of 976,7557 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7375632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7375632

Therefore, the GCF of Fractions 978/976,6771/7557 is 3/7375632

Least Common Multiple of 976,7557 with GCF Formula

Least Common Multiple of 976,7557 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 976,7557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,7557) = 1

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

GCF(976,7557) x common factors =1 x 1 = 1

LCM(976,7557) = ( 976 × 7557 ) / 1

LCM(976,7557) = 7375632 / 1

LCM(976,7557) = 7375632


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 978/976, 6771/7557

1. What is the HCF of 978,6771?

The HCF of 978,6771 is 3

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 978/976, 6771/7557?

Answer: GCF of Numerators as per given numbers 978/976, 6771/7557 is

GCF of Numerators i.e. for 978,6771 is 3

LCM of denominators i.e. for 976,7557 is 7375632.

Thus, GCF of Fractions is 3/7375632.Finally, GCF of Fractions for 978/976, 6771/7557 is 3/7375632.