How to Find GCF of 487/736, 4953/8216?

GCF of 487/736, 4953/8216

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 487/736, 4953/8216 i.e 1/755872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/736, 4953/8216.

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 487/736,4953/8216?

Given fractions are 487/736,4953/8216

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 487/736,4953/8216, numerators are 487,4953

Denominators are 736,8216

The GCF of 487,4953 is 1 .

LCM of 736,8216 is 755872.

The greatest common factor of 487/736,4953/8216 = [GCF of 487,4953]/[LCM of 736,8216]= 1/755872

Therefore, the GCF of 487/736,4953/8216 is 1/755872.

Greatest Common Factor of 487,4953

To find the highest common factor of 487,4953, we have to find the factors of both numbers and list the highest common factor.

The factors of 487 are 1, 487

The factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953

The HCF of 487,4953 is 1.

Lets's calculate GCF of 487,4953

Greatest Common Factor (GCF) of 487,4953 By Common Division

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

Greatest Common Factor of 487,4953 By Matching Biggest Common Factor Method

Now, list down the factors of 487

1,487

Now, list down the factors of 4953

1,3,13,39,127,381,1651,4953

Greatest Common Factor

We found the factors 487,4953 . The biggest common factor number is the GCF number.
So the greatest common factor 487,4953 is 1.

Lets's calculate LCM of 736,8216

Lowest Common Multiple of 736,8216 using Common Division

2	736, 8216
2	368, 4108
2	184, 2054
	92, 1027

∴ So the LCM of the given numbers is 2 x 2 x 2 x 92 x 1027 = 755872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/755872

Therefore, the GCF of Fractions 487/736,4953/8216 is 1/755872

Least Common Multiple of 736,8216 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 736,8216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,8216) = 8

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

GCF(736,8216) x common factors =8 x 1 = 8

LCM(736,8216) = ( 736 × 8216 ) / 8

LCM(736,8216) = 6046976 / 8

LCM(736,8216) = 755872

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FAQs on GCF of Fractions of 487/736, 4953/8216

1. What is the HCF of 487,4953?

The HCF of 487,4953 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 487/736, 4953/8216?

Answer: GCF of Numerators as per given numbers 487/736, 4953/8216 is

GCF of Numerators i.e. for 487,4953 is 1

LCM of denominators i.e. for 736,8216 is 755872.

Thus, GCF of Fractions is 1/755872.Finally, GCF of Fractions for 487/736, 4953/8216 is 1/755872.