How to Find GCF of 1439/478, 9810/5202?

GCF of 1439/478, 9810/5202

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 1439/478, 9810/5202 i.e 1/1243278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1439/478, 9810/5202.

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 1439/478,9810/5202?

Given fractions are 1439/478,9810/5202

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 1439/478,9810/5202, numerators are 1439,9810

Denominators are 478,5202

The GCF of 1439,9810 is 1 .

LCM of 478,5202 is 1243278.

The greatest common factor of 1439/478,9810/5202 = [GCF of 1439,9810]/[LCM of 478,5202]= 1/1243278

Therefore, the GCF of 1439/478,9810/5202 is 1/1243278.

Greatest Common Factor of 1439,9810

To find the highest common factor of 1439,9810, we have to find the factors of both numbers and list the highest common factor.

The factors of 1439 are 1, 1439

The factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810

The HCF of 1439,9810 is 1.

Lets's calculate GCF of 1439,9810

Greatest Common Factor (GCF) of 1439,9810 By Common Division

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

Greatest Common Factor of 1439,9810 By Matching Biggest Common Factor Method

Now, list down the factors of 1439

1,1439

Now, list down the factors of 9810

1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810

Greatest Common Factor

We found the factors 1439,9810 . The biggest common factor number is the GCF number.
So the greatest common factor 1439,9810 is 1.

Lets's calculate LCM of 478,5202

Lowest Common Multiple of 478,5202 using Common Division

2	478, 5202
	239, 2601

∴ So the LCM of the given numbers is 2 x 239 x 2601 = 1243278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1243278

Therefore, the GCF of Fractions 1439/478,9810/5202 is 1/1243278

Least Common Multiple of 478,5202 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 478,5202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,5202) = 2

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

GCF(478,5202) x common factors =2 x 1 = 2

LCM(478,5202) = ( 478 × 5202 ) / 2

LCM(478,5202) = 2486556 / 2

LCM(478,5202) = 1243278

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FAQs on GCF of Fractions of 1439/478, 9810/5202

1. What is the HCF of 1439,9810?

The HCF of 1439,9810 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 1439/478, 9810/5202?

Answer: GCF of Numerators as per given numbers 1439/478, 9810/5202 is

GCF of Numerators i.e. for 1439,9810 is 1

LCM of denominators i.e. for 478,5202 is 1243278.

Thus, GCF of Fractions is 1/1243278.Finally, GCF of Fractions for 1439/478, 9810/5202 is 1/1243278.