How to Find GCF of 5849/898, 2796/7272?

GCF of 5849/898, 2796/7272

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 5849/898, 2796/7272 i.e 1/3265128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5849/898, 2796/7272.

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 5849/898,2796/7272?

Given fractions are 5849/898,2796/7272

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 5849/898,2796/7272, numerators are 5849,2796

Denominators are 898,7272

The GCF of 5849,2796 is 1 .

LCM of 898,7272 is 3265128.

The greatest common factor of 5849/898,2796/7272 = [GCF of 5849,2796]/[LCM of 898,7272]= 1/3265128

Therefore, the GCF of 5849/898,2796/7272 is 1/3265128.

Greatest Common Factor of 5849,2796

To find the highest common factor of 5849,2796, we have to find the factors of both numbers and list the highest common factor.

The factors of 5849 are 1, 5849

The factors of 2796 are 1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796

The HCF of 5849,2796 is 1.

Lets's calculate GCF of 5849,2796

Greatest Common Factor (GCF) of 5849,2796 By Common Division

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

Greatest Common Factor of 5849,2796 By Matching Biggest Common Factor Method

Now, list down the factors of 5849

1,5849

Now, list down the factors of 2796

1,2,3,4,6,12,233,466,699,932,1398,2796

Greatest Common Factor

We found the factors 5849,2796 . The biggest common factor number is the GCF number.
So the greatest common factor 5849,2796 is 1.

Lets's calculate LCM of 898,7272

Lowest Common Multiple of 898,7272 using Common Division

2	898, 7272
	449, 3636

∴ So the LCM of the given numbers is 2 x 449 x 3636 = 3265128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3265128

Therefore, the GCF of Fractions 5849/898,2796/7272 is 1/3265128

Least Common Multiple of 898,7272 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 898,7272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,7272) = 2

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

GCF(898,7272) x common factors =2 x 1 = 2

LCM(898,7272) = ( 898 × 7272 ) / 2

LCM(898,7272) = 6530256 / 2

LCM(898,7272) = 3265128

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FAQs on GCF of Fractions of 5849/898, 2796/7272

1. What is the HCF of 5849,2796?

The HCF of 5849,2796 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 5849/898, 2796/7272?

Answer: GCF of Numerators as per given numbers 5849/898, 2796/7272 is

GCF of Numerators i.e. for 5849,2796 is 1

LCM of denominators i.e. for 898,7272 is 3265128.

Thus, GCF of Fractions is 1/3265128.Finally, GCF of Fractions for 5849/898, 2796/7272 is 1/3265128.