Greatest Common Factor of 548/32, 821/8292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 548/32, 821/8292

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 548/32,821/8292

Given fractions are 548/32,821/8292

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 548,821

Greatest Common Factor of Numerators i.e. GCF of 548,821 is 1 .

LCM of Denominators means LCM of 32,8292 as per the given fractions.

LCM of 32,8292 is 66336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 548,821

GCF of Fractions 548/32,821/8292 is 1/66336

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

Greatest Common Factor of 548,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,821 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 548,821 . The biggest common factor number is the GCF number.
So the greatest common factor 548,821 is 1.

Lets's calculate LCM of 32,8292

2 32, 8292
2 16, 4146
8, 2073

∴ So the LCM of the given numbers is 2 x 2 x 8 x 2073 = 66336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66336

Therefore, the GCF of Fractions 548/32,821/8292 is 1/66336

Least Common Multiple of 32,8292 with GCF Formula

Least Common Multiple of 32,8292 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 32,8292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,8292) = 4

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

GCF(32,8292) x common factors =4 x 1 = 4

LCM(32,8292) = ( 32 × 8292 ) / 4

LCM(32,8292) = 265344 / 4

LCM(32,8292) = 66336


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 548/32, 821/8292

1. 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.

2. What is the GCF of Fractions for 548/32, 821/8292?

Answer: GCF of Numerators as per given numbers 548/32, 821/8292 is

GCF of Numerators i.e. for 548,821 is 1

LCM of denominators i.e. for 32,8292 is 66336.

Thus, GCF of Fractions is 1/66336.Finally, GCF of Fractions for 548/32, 821/8292 is 1/66336.