How to Find GCF of 1439/502, 6828/1612?

GCF of 1439/502, 6828/1612

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 1439/502, 6828/1612 i.e 1/404612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1439/502, 6828/1612.

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 1439/502,6828/1612?

Given fractions are 1439/502,6828/1612

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 1439/502,6828/1612, numerators are 1439,6828

Denominators are 502,1612

The GCF of 1439,6828 is 1 .

LCM of 502,1612 is 404612.

The greatest common factor of 1439/502,6828/1612 = [GCF of 1439,6828]/[LCM of 502,1612]= 1/404612

Therefore, the GCF of 1439/502,6828/1612 is 1/404612.

Greatest Common Factor of 1439,6828

To find the highest common factor of 1439,6828, 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 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828

The HCF of 1439,6828 is 1.

Lets's calculate GCF of 1439,6828

Greatest Common Factor (GCF) of 1439,6828 By Common Division

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

Greatest Common Factor of 1439,6828 By Matching Biggest Common Factor Method

Now, list down the factors of 1439

1,1439

Now, list down the factors of 6828

1,2,3,4,6,12,569,1138,1707,2276,3414,6828

Greatest Common Factor

We found the factors 1439,6828 . The biggest common factor number is the GCF number.
So the greatest common factor 1439,6828 is 1.

Lets's calculate LCM of 502,1612

Lowest Common Multiple of 502,1612 using Common Division

2	502, 1612
	251, 806

∴ So the LCM of the given numbers is 2 x 251 x 806 = 404612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404612

Therefore, the GCF of Fractions 1439/502,6828/1612 is 1/404612

Least Common Multiple of 502,1612 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 502,1612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,1612) = 2

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

GCF(502,1612) x common factors =2 x 1 = 2

LCM(502,1612) = ( 502 × 1612 ) / 2

LCM(502,1612) = 809224 / 2

LCM(502,1612) = 404612

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FAQs on GCF of Fractions of 1439/502, 6828/1612

1. What is the HCF of 1439,6828?

The HCF of 1439,6828 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 1439/502, 6828/1612?

Answer: GCF of Numerators as per given numbers 1439/502, 6828/1612 is

GCF of Numerators i.e. for 1439,6828 is 1

LCM of denominators i.e. for 502,1612 is 404612.

Thus, GCF of Fractions is 1/404612.Finally, GCF of Fractions for 1439/502, 6828/1612 is 1/404612.