Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/118,290/172,171/885
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 71,290,171
Greatest Common Factor of Numerators i.e. GCF of 71,290,171 is 1 .
LCM of Denominators means LCM of 118,172,885 as per the given fractions.
LCM of 118,172,885 is 152220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 71,290,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 71,290,171 . The biggest common factor number is the GCF number.
So the greatest common factor 71,290,171 is 1.
Lets's calculate LCM of 118,172,885
2 | 118, 172, 885 |
59 | 59, 86, 885 |
1, 86, 15 |
∴ So the LCM of the given numbers is 2 x 59 x 1 x 86 x 15 = 152220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152220
Therefore, the GCF of Fractions 71/118,290/172,171/885 is 1/152220
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 118,172,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,172,885) = 1
common factors(in case of two or more numbers have common factors) = 118
GCF(118,172,885) x common factors =1 x 118 = 118
LCM(118,172,885) = ( 118 × 172 × 885 ) / 118
LCM(118,172,885) = 17961960 / 118
LCM(118,172,885) = 152220
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 71/118, 290/172, 171/885?
Answer: GCF of Numerators as per given numbers 71/118, 290/172, 171/885 is
GCF of Numerators i.e. for 71,290,171 is 1
LCM of denominators i.e. for 118,172,885 is 152220.
Thus, GCF of Fractions is 1/152220.Finally, GCF of Fractions for 71/118, 290/172, 171/885 is 1/152220.