How to Find GCF of 4582/468, 9096/2210?

GCF of 4582/468, 9096/2210

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 4582/468, 9096/2210 i.e 2/39780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4582/468, 9096/2210.

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 4582/468,9096/2210?

Given fractions are 4582/468,9096/2210

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 4582/468,9096/2210, numerators are 4582,9096

Denominators are 468,2210

The GCF of 4582,9096 is 2 .

LCM of 468,2210 is 39780.

The greatest common factor of 4582/468,9096/2210 = [GCF of 4582,9096]/[LCM of 468,2210]= 2/39780

Therefore, the GCF of 4582/468,9096/2210 is 2/39780.

Greatest Common Factor of 4582,9096

To find the highest common factor of 4582,9096, we have to find the factors of both numbers and list the highest common factor.

The factors of 4582 are 1, 2, 29, 58, 79, 158, 2291, 4582

The factors of 9096 are 1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096

The HCF of 4582,9096 is 2.

Lets's calculate GCF of 4582,9096

Greatest Common Factor (GCF) of 4582,9096 By Common Division

2	4582, 9096
	2291, 4548

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

Greatest Common Factor of 4582,9096 By Matching Biggest Common Factor Method

Now, list down the factors of 4582

1,2,29,58,79,158,2291,4582

Now, list down the factors of 9096

1,2,3,4,6,8,12,24,379,758,1137,1516,2274,3032,4548,9096

Greatest Common Factor

We found the factors 4582,9096 . The biggest common factor number is the GCF number.
So the greatest common factor 4582,9096 is 2.

Lets's calculate LCM of 468,2210

Lowest Common Multiple of 468,2210 using Common Division

2	468, 2210
13	234, 1105
	18, 85

∴ So the LCM of the given numbers is 2 x 13 x 18 x 85 = 39780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39780

Therefore, the GCF of Fractions 4582/468,9096/2210 is 2/39780

Least Common Multiple of 468,2210 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 468,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,2210) = 26

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

GCF(468,2210) x common factors =26 x 1 = 26

LCM(468,2210) = ( 468 × 2210 ) / 26

LCM(468,2210) = 1034280 / 26

LCM(468,2210) = 39780

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FAQs on GCF of Fractions of 4582/468, 9096/2210

1. What is the HCF of 4582,9096?

The HCF of 4582,9096 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 4582/468, 9096/2210?

Answer: GCF of Numerators as per given numbers 4582/468, 9096/2210 is

GCF of Numerators i.e. for 4582,9096 is 2

LCM of denominators i.e. for 468,2210 is 39780.

Thus, GCF of Fractions is 2/39780.Finally, GCF of Fractions for 4582/468, 9096/2210 is 2/39780.