Greatest Common Factor of 363/414, 465/805, 874/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 363/414, 465/805, 874/186

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 363/414,465/805,874/186

Given fractions are 363/414,465/805,874/186

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 363,465,874

Greatest Common Factor of Numerators i.e. GCF of 363,465,874 is 1 .

LCM of Denominators means LCM of 414,805,186 as per the given fractions.

LCM of 414,805,186 is 449190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 363,465,874

GCF of Fractions 363/414,465/805,874/186 is 1/449190

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

Greatest Common Factor of 363,465,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,465,874 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 363,465,874 . The biggest common factor number is the GCF number.
So the greatest common factor 363,465,874 is 1.

Lets's calculate LCM of 414,805,186

2 414, 805, 186
3 207, 805, 93
23 69, 805, 31
3, 35, 31

∴ So the LCM of the given numbers is 2 x 3 x 23 x 3 x 35 x 31 = 449190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/449190

Therefore, the GCF of Fractions 363/414,465/805,874/186 is 1/449190

Least Common Multiple of 414,805,186 with GCF Formula

Least Common Multiple of 414,805,186 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 414,805,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,805,186) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(414,805,186) x common factors =1 x 138 = 138

LCM(414,805,186) = ( 414 × 805 × 186 ) / 138

LCM(414,805,186) = 61988220 / 138

LCM(414,805,186) = 449190


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 363/414, 465/805, 874/186

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 363/414, 465/805, 874/186?

Answer: GCF of Numerators as per given numbers 363/414, 465/805, 874/186 is

GCF of Numerators i.e. for 363,465,874 is 1

LCM of denominators i.e. for 414,805,186 is 449190.

Thus, GCF of Fractions is 1/449190.Finally, GCF of Fractions for 363/414, 465/805, 874/186 is 1/449190.