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GCF of 580/65, 230/146

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 580/65, 230/146 i.e 10/9490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 580/65, 230/146.

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 580/65,230/146?

Given fractions are 580/65,230/146

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 580/65,230/146, numerators are 580,230

Denominators are 65,146

The GCF of 580,230 is 10 .

LCM of 65,146 is 9490.

The greatest common factor of 580/65,230/146 = [GCF of 580,230]/[LCM of 65,146]= 10/9490

Therefore, the GCF of 580/65,230/146 is 10/9490.

Greatest Common Factor of 580,230

To find the highest common factor of 580,230, we have to find the factors of both numbers and list the highest common factor.

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

The HCF of 580,230 is 10.

Lets's calculate GCF of 580,230

Greatest Common Factor (GCF) of 580,230 By Common Division

2 580, 230
5 290, 115
58, 23

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

Greatest Common Factor of 580,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,230 By Matching Biggest Common Factor Method

Now, list down the factors of 580

:

1,2,4,5,10,20,29,58,116,145,290,580

Now, list down the factors of 230

:

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

Greatest Common Factor

We found the factors 580,230 . The biggest common factor number is the GCF number.
So the greatest common factor 580,230 is 10.

Lets's calculate LCM of 65,146

Lowest Common Multiple of 65,146 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/9490

Therefore, the GCF of Fractions 580/65,230/146 is 10/9490

Least Common Multiple of 65,146 with GCF Formula

Least Common Multiple of 65,146 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 65,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,146) = 1

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

GCF(65,146) x common factors =1 x 1 = 1

LCM(65,146) = ( 65 × 146 ) / 1

LCM(65,146) = 9490 / 1

LCM(65,146) = 9490


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FAQs on GCF of Fractions of 580/65, 230/146

1. What is the HCF of 580,230?

The HCF of 580,230 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 580/65, 230/146?

Answer: GCF of Numerators as per given numbers 580/65, 230/146 is

GCF of Numerators i.e. for 580,230 is 10

LCM of denominators i.e. for 65,146 is 9490.

Thus, GCF of Fractions is 10/9490.Finally, GCF of Fractions for 580/65, 230/146 is 10/9490.