How to Find GCF of 4744/796, 4101/2124?

GCF of 4744/796, 4101/2124

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 4744/796, 4101/2124 i.e 1/422676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4744/796, 4101/2124.

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 4744/796,4101/2124?

Given fractions are 4744/796,4101/2124

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 4744/796,4101/2124, numerators are 4744,4101

Denominators are 796,2124

The GCF of 4744,4101 is 1 .

LCM of 796,2124 is 422676.

The greatest common factor of 4744/796,4101/2124 = [GCF of 4744,4101]/[LCM of 796,2124]= 1/422676

Therefore, the GCF of 4744/796,4101/2124 is 1/422676.

Greatest Common Factor of 4744,4101

To find the highest common factor of 4744,4101, we have to find the factors of both numbers and list the highest common factor.

The factors of 4744 are 1, 2, 4, 8, 593, 1186, 2372, 4744

The factors of 4101 are 1, 3, 1367, 4101

The HCF of 4744,4101 is 1.

Lets's calculate GCF of 4744,4101

Greatest Common Factor (GCF) of 4744,4101 By Common Division

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

Greatest Common Factor of 4744,4101 By Matching Biggest Common Factor Method

Now, list down the factors of 4744

1,2,4,8,593,1186,2372,4744

Now, list down the factors of 4101

1,3,1367,4101

Greatest Common Factor

We found the factors 4744,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 4744,4101 is 1.

Lets's calculate LCM of 796,2124

Lowest Common Multiple of 796,2124 using Common Division

2	796, 2124
2	398, 1062
	199, 531

∴ So the LCM of the given numbers is 2 x 2 x 199 x 531 = 422676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422676

Therefore, the GCF of Fractions 4744/796,4101/2124 is 1/422676

Least Common Multiple of 796,2124 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 796,2124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,2124) = 4

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

GCF(796,2124) x common factors =4 x 1 = 4

LCM(796,2124) = ( 796 × 2124 ) / 4

LCM(796,2124) = 1690704 / 4

LCM(796,2124) = 422676

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FAQs on GCF of Fractions of 4744/796, 4101/2124

1. What is the HCF of 4744,4101?

The HCF of 4744,4101 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 4744/796, 4101/2124?

Answer: GCF of Numerators as per given numbers 4744/796, 4101/2124 is

GCF of Numerators i.e. for 4744,4101 is 1

LCM of denominators i.e. for 796,2124 is 422676.

Thus, GCF of Fractions is 1/422676.Finally, GCF of Fractions for 4744/796, 4101/2124 is 1/422676.