How to Find GCF of 232/48, 580/2491?

GCF of 232/48, 580/2491

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 232/48, 580/2491 i.e 116/119568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 232/48, 580/2491.

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 232/48,580/2491?

Given fractions are 232/48,580/2491

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 232/48,580/2491, numerators are 232,580

Denominators are 48,2491

The GCF of 232,580 is 116 .

LCM of 48,2491 is 119568.

The greatest common factor of 232/48,580/2491 = [GCF of 232,580]/[LCM of 48,2491]= 116/119568

Therefore, the GCF of 232/48,580/2491 is 116/119568.

Greatest Common Factor of 232,580

To find the highest common factor of 232,580, we have to find the factors of both numbers and list the highest common factor.

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

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

The HCF of 232,580 is 116.

Lets's calculate GCF of 232,580

Greatest Common Factor (GCF) of 232,580 By Common Division

2	232, 580
2	116, 290
29	58, 145
	2, 5

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Greatest Common Factor of 232,580 By Matching Biggest Common Factor Method

Now, list down the factors of 232

1,2,4,8,29,58,116,232

Now, list down the factors of 580

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

Greatest Common Factor

We found the factors 232,580 . The biggest common factor number is the GCF number.
So the greatest common factor 232,580 is 116.

Lets's calculate LCM of 48,2491

Lowest Common Multiple of 48,2491 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 119568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/119568

Therefore, the GCF of Fractions 232/48,580/2491 is 116/119568

Least Common Multiple of 48,2491 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 48,2491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,2491) = 1

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

GCF(48,2491) x common factors =1 x 1 = 1

LCM(48,2491) = ( 48 × 2491 ) / 1

LCM(48,2491) = 119568 / 1

LCM(48,2491) = 119568

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FAQs on GCF of Fractions of 232/48, 580/2491

1. What is the HCF of 232,580?

The HCF of 232,580 is 116

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 232/48, 580/2491?

Answer: GCF of Numerators as per given numbers 232/48, 580/2491 is

GCF of Numerators i.e. for 232,580 is 116

LCM of denominators i.e. for 48,2491 is 119568.

Thus, GCF of Fractions is 116/119568.Finally, GCF of Fractions for 232/48, 580/2491 is 116/119568.