How to Find GCF of 60/827, 82/488, 979/608?

GCF of 60/827, 82/488, 979/608

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 60/827, 82/488, 979/608 i.e 1/30671776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/827, 82/488, 979/608.

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 60/827,82/488,979/608?

Given fractions are 60/827,82/488,979/608

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 60/827,82/488,979/608, numerators are 60,82,979

Denominators are 827,488,608

The GCF of 60,82,979 is 1 .

LCM of 827,488,608 is 30671776.

The greatest common factor of 60/827,82/488,979/608 = [GCF of 60,82,979]/[LCM of 827,488,608]= 1/30671776

Therefore, the GCF of 60/827,82/488,979/608 is 1/30671776.

Greatest Common Factor of 60,82,979

To find the highest common factor of 60,82,979, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 82 are 1, 2, 41, 82

The factors of 979 are 1, 11, 89, 979

The HCF of 60,82,979 is 1.

Lets's calculate GCF of 60,82,979

Greatest Common Factor (GCF) of 60,82,979 By Common Division

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

Greatest Common Factor of 60,82,979 By Matching Biggest Common Factor Method

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 979

1,11,89,979

Greatest Common Factor

We found the factors 60,82,979 . The biggest common factor number is the GCF number.
So the greatest common factor 60,82,979 is 1.

Lets's calculate LCM of 827,488,608

Lowest Common Multiple of 827,488,608 using Common Division

2	827, 488, 608
2	827, 244, 304
2	827, 122, 152
	827, 61, 76

∴ So the LCM of the given numbers is 2 x 2 x 2 x 827 x 61 x 76 = 30671776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30671776

Therefore, the GCF of Fractions 60/827,82/488,979/608 is 1/30671776

Least Common Multiple of 827,488,608 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 827,488,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,488,608) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(827,488,608) x common factors =1 x 8 = 8

LCM(827,488,608) = ( 827 × 488 × 608 ) / 8

LCM(827,488,608) = 245374208 / 8

LCM(827,488,608) = 30671776

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 60/827, 82/488, 979/608

1. What is the HCF of 60,82,979?

The HCF of 60,82,979 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 60/827, 82/488, 979/608?

Answer: GCF of Numerators as per given numbers 60/827, 82/488, 979/608 is

GCF of Numerators i.e. for 60,82,979 is 1

LCM of denominators i.e. for 827,488,608 is 30671776.

Thus, GCF of Fractions is 1/30671776.Finally, GCF of Fractions for 60/827, 82/488, 979/608 is 1/30671776.