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GCF of 482/98, 256/502

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 482/98, 256/502 i.e 2/24598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 482/98, 256/502.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 482/98,256/502?

Given fractions are 482/98,256/502

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 482/98,256/502, numerators are 482,256

Denominators are 98,502

The GCF of 482,256 is 2 .

LCM of 98,502 is 24598.

The greatest common factor of 482/98,256/502 = [GCF of 482,256]/[LCM of 98,502]= 2/24598

Therefore, the GCF of 482/98,256/502 is 2/24598.

Greatest Common Factor of 482,256

To find the highest common factor of 482,256, we have to find the factors of both numbers and list the highest common factor.

The factors of 482 are 1, 2, 241, 482

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256

The HCF of 482,256 is 2.

Lets's calculate GCF of 482,256

Greatest Common Factor (GCF) of 482,256 By Common Division

2 482, 256
241, 128

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

Greatest Common Factor of 482,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,256 By Matching Biggest Common Factor Method

Now, list down the factors of 482

:

1,2,241,482

Now, list down the factors of 256

:

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 482,256 . The biggest common factor number is the GCF number.
So the greatest common factor 482,256 is 2.

Lets's calculate LCM of 98,502

Lowest Common Multiple of 98,502 using Common Division

2 98, 502
49, 251

∴ So the LCM of the given numbers is 2 x 49 x 251 = 24598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24598

Therefore, the GCF of Fractions 482/98,256/502 is 2/24598

Least Common Multiple of 98,502 with GCF Formula

Least Common Multiple of 98,502 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 98,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,502) = 2

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

GCF(98,502) x common factors =2 x 1 = 2

LCM(98,502) = ( 98 × 502 ) / 2

LCM(98,502) = 49196 / 2

LCM(98,502) = 24598


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FAQs on GCF of Fractions of 482/98, 256/502

1. What is the HCF of 482,256?

The HCF of 482,256 is 2

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 482/98, 256/502?

Answer: GCF of Numerators as per given numbers 482/98, 256/502 is

GCF of Numerators i.e. for 482,256 is 2

LCM of denominators i.e. for 98,502 is 24598.

Thus, GCF of Fractions is 2/24598.Finally, GCF of Fractions for 482/98, 256/502 is 2/24598.