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GCF of 776/77, 978/991

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 776/77, 978/991 i.e 2/76307 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/77, 978/991.

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 776/77,978/991?

Given fractions are 776/77,978/991

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 776/77,978/991, numerators are 776,978

Denominators are 77,991

The GCF of 776,978 is 2 .

LCM of 77,991 is 76307.

The greatest common factor of 776/77,978/991 = [GCF of 776,978]/[LCM of 77,991]= 2/76307

Therefore, the GCF of 776/77,978/991 is 2/76307.

Greatest Common Factor of 776,978

To find the highest common factor of 776,978, we have to find the factors of both numbers and list the highest common factor.

The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776

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

The HCF of 776,978 is 2.

Lets's calculate GCF of 776,978

Greatest Common Factor (GCF) of 776,978 By Common Division

2 776, 978
388, 489

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 776,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,978 By Matching Biggest Common Factor Method

Now, list down the factors of 776

:

1,2,4,8,97,194,388,776

Now, list down the factors of 978

:

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

Greatest Common Factor

We found the factors 776,978 . The biggest common factor number is the GCF number.
So the greatest common factor 776,978 is 2.

Lets's calculate LCM of 77,991

Lowest Common Multiple of 77,991 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 76307

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76307

Therefore, the GCF of Fractions 776/77,978/991 is 2/76307

Least Common Multiple of 77,991 with GCF Formula

Least Common Multiple of 77,991 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 77,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,991) = 1

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

GCF(77,991) x common factors =1 x 1 = 1

LCM(77,991) = ( 77 × 991 ) / 1

LCM(77,991) = 76307 / 1

LCM(77,991) = 76307


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FAQs on GCF of Fractions of 776/77, 978/991

1. What is the HCF of 776,978?

The HCF of 776,978 is 2

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 776/77, 978/991?

Answer: GCF of Numerators as per given numbers 776/77, 978/991 is

GCF of Numerators i.e. for 776,978 is 2

LCM of denominators i.e. for 77,991 is 76307.

Thus, GCF of Fractions is 2/76307.Finally, GCF of Fractions for 776/77, 978/991 is 2/76307.