Greatest Common Factor of 44/842, 549/668, 812/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/842, 549/668, 812/322

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 44/842,549/668,812/322

Given fractions are 44/842,549/668,812/322

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 44,549,812

Greatest Common Factor of Numerators i.e. GCF of 44,549,812 is 1 .

LCM of Denominators means LCM of 842,668,322 as per the given fractions.

LCM of 842,668,322 is 45277708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,549,812

GCF of Fractions 44/842,549/668,812/322 is 1/45277708

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

Greatest Common Factor of 44,549,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,549,812 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 44,549,812 . The biggest common factor number is the GCF number.
So the greatest common factor 44,549,812 is 1.

Lets's calculate LCM of 842,668,322

2 842, 668, 322
421, 334, 161

∴ So the LCM of the given numbers is 2 x 421 x 334 x 161 = 45277708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45277708

Therefore, the GCF of Fractions 44/842,549/668,812/322 is 1/45277708

Least Common Multiple of 842,668,322 with GCF Formula

Least Common Multiple of 842,668,322 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 842,668,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,668,322) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(842,668,322) x common factors =2 x 2 = 4

LCM(842,668,322) = ( 842 × 668 × 322 ) / 4

LCM(842,668,322) = 181110832 / 4

LCM(842,668,322) = 45277708


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 44/842, 549/668, 812/322

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 44/842, 549/668, 812/322?

Answer: GCF of Numerators as per given numbers 44/842, 549/668, 812/322 is

GCF of Numerators i.e. for 44,549,812 is 1

LCM of denominators i.e. for 842,668,322 is 45277708.

Thus, GCF of Fractions is 1/45277708.Finally, GCF of Fractions for 44/842, 549/668, 812/322 is 1/45277708.