Greatest Common Factor of 278/35, 361/47, 200/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/35, 361/47, 200/90

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 278/35,361/47,200/90

Given fractions are 278/35,361/47,200/90

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 278,361,200

Greatest Common Factor of Numerators i.e. GCF of 278,361,200 is 1 .

LCM of Denominators means LCM of 35,47,90 as per the given fractions.

LCM of 35,47,90 is 29610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,361,200

GCF of Fractions 278/35,361/47,200/90 is 1/29610

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

Greatest Common Factor of 278,361,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,361,200 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 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 278,361,200 . The biggest common factor number is the GCF number.
So the greatest common factor 278,361,200 is 1.

Lets's calculate LCM of 35,47,90

5 35, 47, 90
7, 47, 18

∴ So the LCM of the given numbers is 5 x 7 x 47 x 18 = 29610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29610

Therefore, the GCF of Fractions 278/35,361/47,200/90 is 1/29610

Least Common Multiple of 35,47,90 with GCF Formula

Least Common Multiple of 35,47,90 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 35,47,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,47,90) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,47,90) x common factors =1 x 5 = 5

LCM(35,47,90) = ( 35 × 47 × 90 ) / 5

LCM(35,47,90) = 148050 / 5

LCM(35,47,90) = 29610


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 278/35, 361/47, 200/90

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 278/35, 361/47, 200/90?

Answer: GCF of Numerators as per given numbers 278/35, 361/47, 200/90 is

GCF of Numerators i.e. for 278,361,200 is 1

LCM of denominators i.e. for 35,47,90 is 29610.

Thus, GCF of Fractions is 1/29610.Finally, GCF of Fractions for 278/35, 361/47, 200/90 is 1/29610.