How to Find GCF of 7604/254, 4163/5252?

GCF of 7604/254, 4163/5252

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 7604/254, 4163/5252 i.e 1/667004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7604/254, 4163/5252.

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 7604/254,4163/5252?

Given fractions are 7604/254,4163/5252

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 7604/254,4163/5252, numerators are 7604,4163

Denominators are 254,5252

The GCF of 7604,4163 is 1 .

LCM of 254,5252 is 667004.

The greatest common factor of 7604/254,4163/5252 = [GCF of 7604,4163]/[LCM of 254,5252]= 1/667004

Therefore, the GCF of 7604/254,4163/5252 is 1/667004.

Greatest Common Factor of 7604,4163

To find the highest common factor of 7604,4163, we have to find the factors of both numbers and list the highest common factor.

The factors of 7604 are 1, 2, 4, 1901, 3802, 7604

The factors of 4163 are 1, 23, 181, 4163

The HCF of 7604,4163 is 1.

Lets's calculate GCF of 7604,4163

Greatest Common Factor (GCF) of 7604,4163 By Common Division

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

Greatest Common Factor of 7604,4163 By Matching Biggest Common Factor Method

Now, list down the factors of 7604

1,2,4,1901,3802,7604

Now, list down the factors of 4163

1,23,181,4163

Greatest Common Factor

We found the factors 7604,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 7604,4163 is 1.

Lets's calculate LCM of 254,5252

Lowest Common Multiple of 254,5252 using Common Division

2	254, 5252
	127, 2626

∴ So the LCM of the given numbers is 2 x 127 x 2626 = 667004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667004

Therefore, the GCF of Fractions 7604/254,4163/5252 is 1/667004

Least Common Multiple of 254,5252 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 254,5252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,5252) = 2

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

GCF(254,5252) x common factors =2 x 1 = 2

LCM(254,5252) = ( 254 × 5252 ) / 2

LCM(254,5252) = 1334008 / 2

LCM(254,5252) = 667004

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FAQs on GCF of Fractions of 7604/254, 4163/5252

1. What is the HCF of 7604,4163?

The HCF of 7604,4163 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 7604/254, 4163/5252?

Answer: GCF of Numerators as per given numbers 7604/254, 4163/5252 is

GCF of Numerators i.e. for 7604,4163 is 1

LCM of denominators i.e. for 254,5252 is 667004.

Thus, GCF of Fractions is 1/667004.Finally, GCF of Fractions for 7604/254, 4163/5252 is 1/667004.