How to Find GCF of 476/648, 980/329?

GCF of 476/648, 980/329

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 476/648, 980/329 i.e 28/213192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/648, 980/329.

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 476/648,980/329?

Given fractions are 476/648,980/329

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 476/648,980/329, numerators are 476,980

Denominators are 648,329

The GCF of 476,980 is 28 .

LCM of 648,329 is 213192.

The greatest common factor of 476/648,980/329 = [GCF of 476,980]/[LCM of 648,329]= 28/213192

Therefore, the GCF of 476/648,980/329 is 28/213192.

Greatest Common Factor of 476,980

To find the highest common factor of 476,980, 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 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The HCF of 476,980 is 28.

Lets's calculate GCF of 476,980

Greatest Common Factor (GCF) of 476,980 By Common Division

2	476, 980
2	238, 490
7	119, 245
	17, 35

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 476,980 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 980

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 476,980 . The biggest common factor number is the GCF number.
So the greatest common factor 476,980 is 28.

Lets's calculate LCM of 648,329

Lowest Common Multiple of 648,329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 213192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/213192

Therefore, the GCF of Fractions 476/648,980/329 is 28/213192

Least Common Multiple of 648,329 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 648,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,329) = 1

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

GCF(648,329) x common factors =1 x 1 = 1

LCM(648,329) = ( 648 × 329 ) / 1

LCM(648,329) = 213192 / 1

LCM(648,329) = 213192

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FAQs on GCF of Fractions of 476/648, 980/329

1. What is the HCF of 476,980?

The HCF of 476,980 is 28

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 476/648, 980/329?

Answer: GCF of Numerators as per given numbers 476/648, 980/329 is

GCF of Numerators i.e. for 476,980 is 28

LCM of denominators i.e. for 648,329 is 213192.

Thus, GCF of Fractions is 28/213192.Finally, GCF of Fractions for 476/648, 980/329 is 28/213192.