How to Find GCF of 5321/840, 4494/4752?

GCF of 5321/840, 4494/4752

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 5321/840, 4494/4752 i.e 1/166320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5321/840, 4494/4752.

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 5321/840,4494/4752?

Given fractions are 5321/840,4494/4752

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 5321/840,4494/4752, numerators are 5321,4494

Denominators are 840,4752

The GCF of 5321,4494 is 1 .

LCM of 840,4752 is 166320.

The greatest common factor of 5321/840,4494/4752 = [GCF of 5321,4494]/[LCM of 840,4752]= 1/166320

Therefore, the GCF of 5321/840,4494/4752 is 1/166320.

Greatest Common Factor of 5321,4494

To find the highest common factor of 5321,4494, we have to find the factors of both numbers and list the highest common factor.

The factors of 5321 are 1, 17, 313, 5321

The factors of 4494 are 1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494

The HCF of 5321,4494 is 1.

Lets's calculate GCF of 5321,4494

Greatest Common Factor (GCF) of 5321,4494 By Common Division

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

Greatest Common Factor of 5321,4494 By Matching Biggest Common Factor Method

Now, list down the factors of 5321

1,17,313,5321

Now, list down the factors of 4494

1,2,3,6,7,14,21,42,107,214,321,642,749,1498,2247,4494

Greatest Common Factor

We found the factors 5321,4494 . The biggest common factor number is the GCF number.
So the greatest common factor 5321,4494 is 1.

Lets's calculate LCM of 840,4752

Lowest Common Multiple of 840,4752 using Common Division

2	840, 4752
2	420, 2376
2	210, 1188
3	105, 594
	35, 198

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 35 x 198 = 166320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166320

Therefore, the GCF of Fractions 5321/840,4494/4752 is 1/166320

Least Common Multiple of 840,4752 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 840,4752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,4752) = 24

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

GCF(840,4752) x common factors =24 x 1 = 24

LCM(840,4752) = ( 840 × 4752 ) / 24

LCM(840,4752) = 3991680 / 24

LCM(840,4752) = 166320

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5321/840, 4494/4752

1. What is the HCF of 5321,4494?

The HCF of 5321,4494 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 5321/840, 4494/4752?

Answer: GCF of Numerators as per given numbers 5321/840, 4494/4752 is

GCF of Numerators i.e. for 5321,4494 is 1

LCM of denominators i.e. for 840,4752 is 166320.

Thus, GCF of Fractions is 1/166320.Finally, GCF of Fractions for 5321/840, 4494/4752 is 1/166320.