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GCF of 260/206, 230/976

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 260/206, 230/976 i.e 10/100528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 260/206, 230/976.

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 260/206,230/976?

Given fractions are 260/206,230/976

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 260/206,230/976, numerators are 260,230

Denominators are 206,976

The GCF of 260,230 is 10 .

LCM of 206,976 is 100528.

The greatest common factor of 260/206,230/976 = [GCF of 260,230]/[LCM of 206,976]= 10/100528

Therefore, the GCF of 260/206,230/976 is 10/100528.

Greatest Common Factor of 260,230

To find the highest common factor of 260,230, we have to find the factors of both numbers and list the highest common factor.

The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230

The HCF of 260,230 is 10.

Lets's calculate GCF of 260,230

Greatest Common Factor (GCF) of 260,230 By Common Division

2 260, 230
5 130, 115
26, 23

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 260,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,230 By Matching Biggest Common Factor Method

Now, list down the factors of 260

:

1,2,4,5,10,13,20,26,52,65,130,260

Now, list down the factors of 230

:

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 260,230 . The biggest common factor number is the GCF number.
So the greatest common factor 260,230 is 10.

Lets's calculate LCM of 206,976

Lowest Common Multiple of 206,976 using Common Division

2 206, 976
103, 488

∴ So the LCM of the given numbers is 2 x 103 x 488 = 100528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/100528

Therefore, the GCF of Fractions 260/206,230/976 is 10/100528

Least Common Multiple of 206,976 with GCF Formula

Least Common Multiple of 206,976 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 206,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,976) = 2

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

GCF(206,976) x common factors =2 x 1 = 2

LCM(206,976) = ( 206 × 976 ) / 2

LCM(206,976) = 201056 / 2

LCM(206,976) = 100528


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 260/206, 230/976

1. What is the HCF of 260,230?

The HCF of 260,230 is 10

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 260/206, 230/976?

Answer: GCF of Numerators as per given numbers 260/206, 230/976 is

GCF of Numerators i.e. for 260,230 is 10

LCM of denominators i.e. for 206,976 is 100528.

Thus, GCF of Fractions is 10/100528.Finally, GCF of Fractions for 260/206, 230/976 is 10/100528.