How to Find GCF of 8873/488, 7618/3816?

GCF of 8873/488, 7618/3816

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 8873/488, 7618/3816 i.e 1/232776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8873/488, 7618/3816.

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 8873/488,7618/3816?

Given fractions are 8873/488,7618/3816

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 8873/488,7618/3816, numerators are 8873,7618

Denominators are 488,3816

The GCF of 8873,7618 is 1 .

LCM of 488,3816 is 232776.

The greatest common factor of 8873/488,7618/3816 = [GCF of 8873,7618]/[LCM of 488,3816]= 1/232776

Therefore, the GCF of 8873/488,7618/3816 is 1/232776.

Greatest Common Factor of 8873,7618

To find the highest common factor of 8873,7618, we have to find the factors of both numbers and list the highest common factor.

The factors of 8873 are 1, 19, 467, 8873

The factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618

The HCF of 8873,7618 is 1.

Lets's calculate GCF of 8873,7618

Greatest Common Factor (GCF) of 8873,7618 By Common Division

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

Greatest Common Factor of 8873,7618 By Matching Biggest Common Factor Method

Now, list down the factors of 8873

1,19,467,8873

Now, list down the factors of 7618

1,2,13,26,293,586,3809,7618

Greatest Common Factor

We found the factors 8873,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 8873,7618 is 1.

Lets's calculate LCM of 488,3816

Lowest Common Multiple of 488,3816 using Common Division

2	488, 3816
2	244, 1908
2	122, 954
	61, 477

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 477 = 232776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232776

Therefore, the GCF of Fractions 8873/488,7618/3816 is 1/232776

Least Common Multiple of 488,3816 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 488,3816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,3816) = 8

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

GCF(488,3816) x common factors =8 x 1 = 8

LCM(488,3816) = ( 488 × 3816 ) / 8

LCM(488,3816) = 1862208 / 8

LCM(488,3816) = 232776

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FAQs on GCF of Fractions of 8873/488, 7618/3816

1. What is the HCF of 8873,7618?

The HCF of 8873,7618 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 8873/488, 7618/3816?

Answer: GCF of Numerators as per given numbers 8873/488, 7618/3816 is

GCF of Numerators i.e. for 8873,7618 is 1

LCM of denominators i.e. for 488,3816 is 232776.

Thus, GCF of Fractions is 1/232776.Finally, GCF of Fractions for 8873/488, 7618/3816 is 1/232776.