How to Find GCF of 4561/348, 6612/2096?

GCF of 4561/348, 6612/2096

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 4561/348, 6612/2096 i.e 1/182352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4561/348, 6612/2096.

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 4561/348,6612/2096?

Given fractions are 4561/348,6612/2096

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 4561/348,6612/2096, numerators are 4561,6612

Denominators are 348,2096

The GCF of 4561,6612 is 1 .

LCM of 348,2096 is 182352.

The greatest common factor of 4561/348,6612/2096 = [GCF of 4561,6612]/[LCM of 348,2096]= 1/182352

Therefore, the GCF of 4561/348,6612/2096 is 1/182352.

Greatest Common Factor of 4561,6612

To find the highest common factor of 4561,6612, we have to find the factors of both numbers and list the highest common factor.

The factors of 4561 are 1, 4561

The factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612

The HCF of 4561,6612 is 1.

Lets's calculate GCF of 4561,6612

Greatest Common Factor (GCF) of 4561,6612 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4561,6612 By Matching Biggest Common Factor Method

Now, list down the factors of 4561

1,4561

Now, list down the factors of 6612

1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612

Greatest Common Factor

We found the factors 4561,6612 . The biggest common factor number is the GCF number.
So the greatest common factor 4561,6612 is 1.

Lets's calculate LCM of 348,2096

Lowest Common Multiple of 348,2096 using Common Division

2	348, 2096
2	174, 1048
	87, 524

∴ So the LCM of the given numbers is 2 x 2 x 87 x 524 = 182352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182352

Therefore, the GCF of Fractions 4561/348,6612/2096 is 1/182352

Least Common Multiple of 348,2096 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 348,2096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,2096) = 4

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

GCF(348,2096) x common factors =4 x 1 = 4

LCM(348,2096) = ( 348 × 2096 ) / 4

LCM(348,2096) = 729408 / 4

LCM(348,2096) = 182352

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FAQs on GCF of Fractions of 4561/348, 6612/2096

1. What is the HCF of 4561,6612?

The HCF of 4561,6612 is 1

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 4561/348, 6612/2096?

Answer: GCF of Numerators as per given numbers 4561/348, 6612/2096 is

GCF of Numerators i.e. for 4561,6612 is 1

LCM of denominators i.e. for 348,2096 is 182352.

Thus, GCF of Fractions is 1/182352.Finally, GCF of Fractions for 4561/348, 6612/2096 is 1/182352.