How to Find GCF of 616/348, 429/539?

GCF of 616/348, 429/539

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 616/348, 429/539 i.e 11/187572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/348, 429/539.

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 616/348,429/539?

Given fractions are 616/348,429/539

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 616/348,429/539, numerators are 616,429

Denominators are 348,539

The GCF of 616,429 is 11 .

LCM of 348,539 is 187572.

The greatest common factor of 616/348,429/539 = [GCF of 616,429]/[LCM of 348,539]= 11/187572

Therefore, the GCF of 616/348,429/539 is 11/187572.

Greatest Common Factor of 616,429

To find the highest common factor of 616,429, we have to find the factors of both numbers and list the highest common factor.

The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The HCF of 616,429 is 11.

Lets's calculate GCF of 616,429

Greatest Common Factor (GCF) of 616,429 By Common Division

11	616, 429
	56, 39

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 616,429 By Matching Biggest Common Factor Method

Now, list down the factors of 616

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Now, list down the factors of 429

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 616,429 . The biggest common factor number is the GCF number.
So the greatest common factor 616,429 is 11.

Lets's calculate LCM of 348,539

Lowest Common Multiple of 348,539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 187572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/187572

Therefore, the GCF of Fractions 616/348,429/539 is 11/187572

Least Common Multiple of 348,539 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 348,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,539) = 1

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

GCF(348,539) x common factors =1 x 1 = 1

LCM(348,539) = ( 348 × 539 ) / 1

LCM(348,539) = 187572 / 1

LCM(348,539) = 187572

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FAQs on GCF of Fractions of 616/348, 429/539

1. What is the HCF of 616,429?

The HCF of 616,429 is 11

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 616/348, 429/539?

Answer: GCF of Numerators as per given numbers 616/348, 429/539 is

GCF of Numerators i.e. for 616,429 is 11

LCM of denominators i.e. for 348,539 is 187572.

Thus, GCF of Fractions is 11/187572.Finally, GCF of Fractions for 616/348, 429/539 is 11/187572.