Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 238/662,116/230,575/617
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 238,116,575
Greatest Common Factor of Numerators i.e. GCF of 238,116,575 is 1 .
LCM of Denominators means LCM of 662,230,617 as per the given fractions.
LCM of 662,230,617 is 46972210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 238,116,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 238,116,575 . The biggest common factor number is the GCF number.
So the greatest common factor 238,116,575 is 1.
Lets's calculate LCM of 662,230,617
2 | 662, 230, 617 |
331, 115, 617 |
∴ So the LCM of the given numbers is 2 x 331 x 115 x 617 = 46972210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46972210
Therefore, the GCF of Fractions 238/662,116/230,575/617 is 1/46972210
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 662,230,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,230,617) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(662,230,617) x common factors =1 x 2 = 2
LCM(662,230,617) = ( 662 × 230 × 617 ) / 2
LCM(662,230,617) = 93944420 / 2
LCM(662,230,617) = 46972210
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 238/662, 116/230, 575/617?
Answer: GCF of Numerators as per given numbers 238/662, 116/230, 575/617 is
GCF of Numerators i.e. for 238,116,575 is 1
LCM of denominators i.e. for 662,230,617 is 46972210.
Thus, GCF of Fractions is 1/46972210.Finally, GCF of Fractions for 238/662, 116/230, 575/617 is 1/46972210.