Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/895,95/902,987/299
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 12,95,987
Greatest Common Factor of Numerators i.e. GCF of 12,95,987 is 1 .
LCM of Denominators means LCM of 895,902,299 as per the given fractions.
LCM of 895,902,299 is 241379710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,95,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 12,95,987 . The biggest common factor number is the GCF number.
So the greatest common factor 12,95,987 is 1.
Lets's calculate LCM of 895,902,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 241379710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241379710
Therefore, the GCF of Fractions 12/895,95/902,987/299 is 1/241379710
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 895,902,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,902,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,902,299) x common factors =1 x 1 = 1
LCM(895,902,299) = ( 895 × 902 × 299 ) / 1
LCM(895,902,299) = 241379710 / 1
LCM(895,902,299) = 241379710
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 12/895, 95/902, 987/299?
Answer: GCF of Numerators as per given numbers 12/895, 95/902, 987/299 is
GCF of Numerators i.e. for 12,95,987 is 1
LCM of denominators i.e. for 895,902,299 is 241379710.
Thus, GCF of Fractions is 1/241379710.Finally, GCF of Fractions for 12/895, 95/902, 987/299 is 1/241379710.