Greatest Common Factor of 49/47, 89/34, 550/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/47, 89/34, 550/422

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 49/47,89/34,550/422

Given fractions are 49/47,89/34,550/422

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 49,89,550

Greatest Common Factor of Numerators i.e. GCF of 49,89,550 is 1 .

LCM of Denominators means LCM of 47,34,422 as per the given fractions.

LCM of 47,34,422 is 337178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,89,550

GCF of Fractions 49/47,89/34,550/422 is 1/337178

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

Greatest Common Factor of 49,89,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,89,550 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 49,89,550 . The biggest common factor number is the GCF number.
So the greatest common factor 49,89,550 is 1.

Lets's calculate LCM of 47,34,422

2 47, 34, 422
47, 17, 211

∴ So the LCM of the given numbers is 2 x 47 x 17 x 211 = 337178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337178

Therefore, the GCF of Fractions 49/47,89/34,550/422 is 1/337178

Least Common Multiple of 47,34,422 with GCF Formula

Least Common Multiple of 47,34,422 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 47,34,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,34,422) = 1

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

GCF(47,34,422) x common factors =1 x 2 = 2

LCM(47,34,422) = ( 47 × 34 × 422 ) / 2

LCM(47,34,422) = 674356 / 2

LCM(47,34,422) = 337178


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 49/47, 89/34, 550/422

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 49/47, 89/34, 550/422?

Answer: GCF of Numerators as per given numbers 49/47, 89/34, 550/422 is

GCF of Numerators i.e. for 49,89,550 is 1

LCM of denominators i.e. for 47,34,422 is 337178.

Thus, GCF of Fractions is 1/337178.Finally, GCF of Fractions for 49/47, 89/34, 550/422 is 1/337178.