How to Find GCF of 5443/976, 8264/3928?

GCF of 5443/976, 8264/3928

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 5443/976, 8264/3928 i.e 1/479216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5443/976, 8264/3928.

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 5443/976,8264/3928?

Given fractions are 5443/976,8264/3928

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 5443/976,8264/3928, numerators are 5443,8264

Denominators are 976,3928

The GCF of 5443,8264 is 1 .

LCM of 976,3928 is 479216.

The greatest common factor of 5443/976,8264/3928 = [GCF of 5443,8264]/[LCM of 976,3928]= 1/479216

Therefore, the GCF of 5443/976,8264/3928 is 1/479216.

Greatest Common Factor of 5443,8264

To find the highest common factor of 5443,8264, we have to find the factors of both numbers and list the highest common factor.

The factors of 5443 are 1, 5443

The factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264

The HCF of 5443,8264 is 1.

Lets's calculate GCF of 5443,8264

Greatest Common Factor (GCF) of 5443,8264 By Common Division

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

Greatest Common Factor of 5443,8264 By Matching Biggest Common Factor Method

Now, list down the factors of 5443

1,5443

Now, list down the factors of 8264

1,2,4,8,1033,2066,4132,8264

Greatest Common Factor

We found the factors 5443,8264 . The biggest common factor number is the GCF number.
So the greatest common factor 5443,8264 is 1.

Lets's calculate LCM of 976,3928

Lowest Common Multiple of 976,3928 using Common Division

2	976, 3928
2	488, 1964
2	244, 982
	122, 491

∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 491 = 479216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/479216

Therefore, the GCF of Fractions 5443/976,8264/3928 is 1/479216

Least Common Multiple of 976,3928 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 976,3928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,3928) = 8

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

GCF(976,3928) x common factors =8 x 1 = 8

LCM(976,3928) = ( 976 × 3928 ) / 8

LCM(976,3928) = 3833728 / 8

LCM(976,3928) = 479216

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5443/976, 8264/3928

1. What is the HCF of 5443,8264?

The HCF of 5443,8264 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 5443/976, 8264/3928?

Answer: GCF of Numerators as per given numbers 5443/976, 8264/3928 is

GCF of Numerators i.e. for 5443,8264 is 1

LCM of denominators i.e. for 976,3928 is 479216.

Thus, GCF of Fractions is 1/479216.Finally, GCF of Fractions for 5443/976, 8264/3928 is 1/479216.