How to Find GCF of 616/729, 2804/146?

GCF of 616/729, 2804/146

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 616/729, 2804/146 i.e 4/106434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/729, 2804/146.

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 616/729,2804/146?

Given fractions are 616/729,2804/146

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 616/729,2804/146, numerators are 616,2804

Denominators are 729,146

The GCF of 616,2804 is 4 .

LCM of 729,146 is 106434.

The greatest common factor of 616/729,2804/146 = [GCF of 616,2804]/[LCM of 729,146]= 4/106434

Therefore, the GCF of 616/729,2804/146 is 4/106434.

Greatest Common Factor of 616,2804

To find the highest common factor of 616,2804, 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 2804 are 1, 2, 4, 701, 1402, 2804

The HCF of 616,2804 is 4.

Lets's calculate GCF of 616,2804

Greatest Common Factor (GCF) of 616,2804 By Common Division

2	616, 2804
2	308, 1402
	154, 701

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 616,2804 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 2804

1,2,4,701,1402,2804

Greatest Common Factor

We found the factors 616,2804 . The biggest common factor number is the GCF number.
So the greatest common factor 616,2804 is 4.

Lets's calculate LCM of 729,146

Lowest Common Multiple of 729,146 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 106434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/106434

Therefore, the GCF of Fractions 616/729,2804/146 is 4/106434

Least Common Multiple of 729,146 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 729,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,146) = 1

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

GCF(729,146) x common factors =1 x 1 = 1

LCM(729,146) = ( 729 × 146 ) / 1

LCM(729,146) = 106434 / 1

LCM(729,146) = 106434

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FAQs on GCF of Fractions of 616/729, 2804/146

1. What is the HCF of 616,2804?

The HCF of 616,2804 is 4

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 616/729, 2804/146?

Answer: GCF of Numerators as per given numbers 616/729, 2804/146 is

GCF of Numerators i.e. for 616,2804 is 4

LCM of denominators i.e. for 729,146 is 106434.

Thus, GCF of Fractions is 4/106434.Finally, GCF of Fractions for 616/729, 2804/146 is 4/106434.