How to Find GCF of 476/973, 8218/792?

GCF of 476/973, 8218/792

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 476/973, 8218/792 i.e 14/770616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/973, 8218/792.

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 476/973,8218/792?

Given fractions are 476/973,8218/792

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 476/973,8218/792, numerators are 476,8218

Denominators are 973,792

The GCF of 476,8218 is 14 .

LCM of 973,792 is 770616.

The greatest common factor of 476/973,8218/792 = [GCF of 476,8218]/[LCM of 973,792]= 14/770616

Therefore, the GCF of 476/973,8218/792 is 14/770616.

Greatest Common Factor of 476,8218

To find the highest common factor of 476,8218, we have to find the factors of both numbers and list the highest common factor.

The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

The factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218

The HCF of 476,8218 is 14.

Lets's calculate GCF of 476,8218

Greatest Common Factor (GCF) of 476,8218 By Common Division

2	476, 8218
7	238, 4109
	34, 587

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 476,8218 By Matching Biggest Common Factor Method

Now, list down the factors of 476

1,2,4,7,14,17,28,34,68,119,238,476

Now, list down the factors of 8218

1,2,7,14,587,1174,4109,8218

Greatest Common Factor

We found the factors 476,8218 . The biggest common factor number is the GCF number.
So the greatest common factor 476,8218 is 14.

Lets's calculate LCM of 973,792

Lowest Common Multiple of 973,792 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 770616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/770616

Therefore, the GCF of Fractions 476/973,8218/792 is 14/770616

Least Common Multiple of 973,792 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 973,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,792) = 1

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

GCF(973,792) x common factors =1 x 1 = 1

LCM(973,792) = ( 973 × 792 ) / 1

LCM(973,792) = 770616 / 1

LCM(973,792) = 770616

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FAQs on GCF of Fractions of 476/973, 8218/792

1. What is the HCF of 476,8218?

The HCF of 476,8218 is 14

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 476/973, 8218/792?

Answer: GCF of Numerators as per given numbers 476/973, 8218/792 is

GCF of Numerators i.e. for 476,8218 is 14

LCM of denominators i.e. for 973,792 is 770616.

Thus, GCF of Fractions is 14/770616.Finally, GCF of Fractions for 476/973, 8218/792 is 14/770616.