How to Find GCF of 4131/928, 4372/5208?

GCF of 4131/928, 4372/5208

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 4131/928, 4372/5208 i.e 1/604128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4131/928, 4372/5208.

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 4131/928,4372/5208?

Given fractions are 4131/928,4372/5208

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 4131/928,4372/5208, numerators are 4131,4372

Denominators are 928,5208

The GCF of 4131,4372 is 1 .

LCM of 928,5208 is 604128.

The greatest common factor of 4131/928,4372/5208 = [GCF of 4131,4372]/[LCM of 928,5208]= 1/604128

Therefore, the GCF of 4131/928,4372/5208 is 1/604128.

Greatest Common Factor of 4131,4372

To find the highest common factor of 4131,4372, we have to find the factors of both numbers and list the highest common factor.

The factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131

The factors of 4372 are 1, 2, 4, 1093, 2186, 4372

The HCF of 4131,4372 is 1.

Lets's calculate GCF of 4131,4372

Greatest Common Factor (GCF) of 4131,4372 By Common Division

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

Greatest Common Factor of 4131,4372 By Matching Biggest Common Factor Method

Now, list down the factors of 4131

1,3,9,17,27,51,81,153,243,459,1377,4131

Now, list down the factors of 4372

1,2,4,1093,2186,4372

Greatest Common Factor

We found the factors 4131,4372 . The biggest common factor number is the GCF number.
So the greatest common factor 4131,4372 is 1.

Lets's calculate LCM of 928,5208

Lowest Common Multiple of 928,5208 using Common Division

2	928, 5208
2	464, 2604
2	232, 1302
	116, 651

∴ So the LCM of the given numbers is 2 x 2 x 2 x 116 x 651 = 604128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/604128

Therefore, the GCF of Fractions 4131/928,4372/5208 is 1/604128

Least Common Multiple of 928,5208 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 928,5208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,5208) = 8

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

GCF(928,5208) x common factors =8 x 1 = 8

LCM(928,5208) = ( 928 × 5208 ) / 8

LCM(928,5208) = 4833024 / 8

LCM(928,5208) = 604128

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4131/928, 4372/5208

1. What is the HCF of 4131,4372?

The HCF of 4131,4372 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 4131/928, 4372/5208?

Answer: GCF of Numerators as per given numbers 4131/928, 4372/5208 is

GCF of Numerators i.e. for 4131,4372 is 1

LCM of denominators i.e. for 928,5208 is 604128.

Thus, GCF of Fractions is 1/604128.Finally, GCF of Fractions for 4131/928, 4372/5208 is 1/604128.