How to Find GCF of 476/980, 500/605?

GCF of 476/980, 500/605

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 476/980, 500/605 i.e 4/118580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/980, 500/605.

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 476/980,500/605?

Given fractions are 476/980,500/605

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 476/980,500/605, numerators are 476,500

Denominators are 980,605

The GCF of 476,500 is 4 .

LCM of 980,605 is 118580.

The greatest common factor of 476/980,500/605 = [GCF of 476,500]/[LCM of 980,605]= 4/118580

Therefore, the GCF of 476/980,500/605 is 4/118580.

Greatest Common Factor of 476,500

To find the highest common factor of 476,500, 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 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 476,500 is 4.

Lets's calculate GCF of 476,500

Greatest Common Factor (GCF) of 476,500 By Common Division

2	476, 500
2	238, 250
	119, 125

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 476,500 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 500

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 476,500 . The biggest common factor number is the GCF number.
So the greatest common factor 476,500 is 4.

Lets's calculate LCM of 980,605

Lowest Common Multiple of 980,605 using Common Division

5	980, 605
	196, 121

∴ So the LCM of the given numbers is 5 x 196 x 121 = 118580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/118580

Therefore, the GCF of Fractions 476/980,500/605 is 4/118580

Least Common Multiple of 980,605 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 980,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,605) = 5

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

GCF(980,605) x common factors =5 x 1 = 5

LCM(980,605) = ( 980 × 605 ) / 5

LCM(980,605) = 592900 / 5

LCM(980,605) = 118580

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FAQs on GCF of Fractions of 476/980, 500/605

1. What is the HCF of 476,500?

The HCF of 476,500 is 4

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 476/980, 500/605?

Answer: GCF of Numerators as per given numbers 476/980, 500/605 is

GCF of Numerators i.e. for 476,500 is 4

LCM of denominators i.e. for 980,605 is 118580.

Thus, GCF of Fractions is 4/118580.Finally, GCF of Fractions for 476/980, 500/605 is 4/118580.