How to Find GCF of 5437/330, 7843/2464?

GCF of 5437/330, 7843/2464

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 5437/330, 7843/2464 i.e 1/36960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5437/330, 7843/2464.

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 5437/330,7843/2464?

Given fractions are 5437/330,7843/2464

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 5437/330,7843/2464, numerators are 5437,7843

Denominators are 330,2464

The GCF of 5437,7843 is 1 .

LCM of 330,2464 is 36960.

The greatest common factor of 5437/330,7843/2464 = [GCF of 5437,7843]/[LCM of 330,2464]= 1/36960

Therefore, the GCF of 5437/330,7843/2464 is 1/36960.

Greatest Common Factor of 5437,7843

To find the highest common factor of 5437,7843, we have to find the factors of both numbers and list the highest common factor.

The factors of 5437 are 1, 5437

The factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843

The HCF of 5437,7843 is 1.

Lets's calculate GCF of 5437,7843

Greatest Common Factor (GCF) of 5437,7843 By Common Division

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

Greatest Common Factor of 5437,7843 By Matching Biggest Common Factor Method

Now, list down the factors of 5437

1,5437

Now, list down the factors of 7843

1,11,23,31,253,341,713,7843

Greatest Common Factor

We found the factors 5437,7843 . The biggest common factor number is the GCF number.
So the greatest common factor 5437,7843 is 1.

Lets's calculate LCM of 330,2464

Lowest Common Multiple of 330,2464 using Common Division

2	330, 2464
11	165, 1232
	15, 112

∴ So the LCM of the given numbers is 2 x 11 x 15 x 112 = 36960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36960

Therefore, the GCF of Fractions 5437/330,7843/2464 is 1/36960

Least Common Multiple of 330,2464 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 330,2464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,2464) = 22

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

GCF(330,2464) x common factors =22 x 1 = 22

LCM(330,2464) = ( 330 × 2464 ) / 22

LCM(330,2464) = 813120 / 22

LCM(330,2464) = 36960

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5437/330, 7843/2464

1. What is the HCF of 5437,7843?

The HCF of 5437,7843 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 5437/330, 7843/2464?

Answer: GCF of Numerators as per given numbers 5437/330, 7843/2464 is

GCF of Numerators i.e. for 5437,7843 is 1

LCM of denominators i.e. for 330,2464 is 36960.

Thus, GCF of Fractions is 1/36960.Finally, GCF of Fractions for 5437/330, 7843/2464 is 1/36960.