How to Find GCF of 5269/478, 8350/4348?

GCF of 5269/478, 8350/4348

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 5269/478, 8350/4348 i.e 1/1039172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5269/478, 8350/4348.

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 5269/478,8350/4348?

Given fractions are 5269/478,8350/4348

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 5269/478,8350/4348, numerators are 5269,8350

Denominators are 478,4348

The GCF of 5269,8350 is 1 .

LCM of 478,4348 is 1039172.

The greatest common factor of 5269/478,8350/4348 = [GCF of 5269,8350]/[LCM of 478,4348]= 1/1039172

Therefore, the GCF of 5269/478,8350/4348 is 1/1039172.

Greatest Common Factor of 5269,8350

To find the highest common factor of 5269,8350, we have to find the factors of both numbers and list the highest common factor.

The factors of 5269 are 1, 11, 479, 5269

The factors of 8350 are 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350

The HCF of 5269,8350 is 1.

Lets's calculate GCF of 5269,8350

Greatest Common Factor (GCF) of 5269,8350 By Common Division

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

Greatest Common Factor of 5269,8350 By Matching Biggest Common Factor Method

Now, list down the factors of 5269

1,11,479,5269

Now, list down the factors of 8350

1,2,5,10,25,50,167,334,835,1670,4175,8350

Greatest Common Factor

We found the factors 5269,8350 . The biggest common factor number is the GCF number.
So the greatest common factor 5269,8350 is 1.

Lets's calculate LCM of 478,4348

Lowest Common Multiple of 478,4348 using Common Division

2	478, 4348
	239, 2174

∴ So the LCM of the given numbers is 2 x 239 x 2174 = 1039172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1039172

Therefore, the GCF of Fractions 5269/478,8350/4348 is 1/1039172

Least Common Multiple of 478,4348 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 478,4348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,4348) = 2

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

GCF(478,4348) x common factors =2 x 1 = 2

LCM(478,4348) = ( 478 × 4348 ) / 2

LCM(478,4348) = 2078344 / 2

LCM(478,4348) = 1039172

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5269/478, 8350/4348

1. What is the HCF of 5269,8350?

The HCF of 5269,8350 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 5269/478, 8350/4348?

Answer: GCF of Numerators as per given numbers 5269/478, 8350/4348 is

GCF of Numerators i.e. for 5269,8350 is 1

LCM of denominators i.e. for 478,4348 is 1039172.

Thus, GCF of Fractions is 1/1039172.Finally, GCF of Fractions for 5269/478, 8350/4348 is 1/1039172.