Greatest Common Factor of 278/410, 352/622, 243/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/410, 352/622, 243/301

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 278/410,352/622,243/301

Given fractions are 278/410,352/622,243/301

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 278,352,243

Greatest Common Factor of Numerators i.e. GCF of 278,352,243 is 1 .

LCM of Denominators means LCM of 410,622,301 as per the given fractions.

LCM of 410,622,301 is 38380510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,352,243

GCF of Fractions 278/410,352/622,243/301 is 1/38380510

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

Greatest Common Factor of 278,352,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,352,243 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 278,352,243 . The biggest common factor number is the GCF number.
So the greatest common factor 278,352,243 is 1.

Lets's calculate LCM of 410,622,301

2 410, 622, 301
205, 311, 301

∴ So the LCM of the given numbers is 2 x 205 x 311 x 301 = 38380510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38380510

Therefore, the GCF of Fractions 278/410,352/622,243/301 is 1/38380510

Least Common Multiple of 410,622,301 with GCF Formula

Least Common Multiple of 410,622,301 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 410,622,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,622,301) = 1

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

GCF(410,622,301) x common factors =1 x 2 = 2

LCM(410,622,301) = ( 410 × 622 × 301 ) / 2

LCM(410,622,301) = 76761020 / 2

LCM(410,622,301) = 38380510


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 278/410, 352/622, 243/301

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 278/410, 352/622, 243/301?

Answer: GCF of Numerators as per given numbers 278/410, 352/622, 243/301 is

GCF of Numerators i.e. for 278,352,243 is 1

LCM of denominators i.e. for 410,622,301 is 38380510.

Thus, GCF of Fractions is 1/38380510.Finally, GCF of Fractions for 278/410, 352/622, 243/301 is 1/38380510.