Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/45,903/15,987/970
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 86,903,987
Greatest Common Factor of Numerators i.e. GCF of 86,903,987 is 1 .
LCM of Denominators means LCM of 45,15,970 as per the given fractions.
LCM of 45,15,970 is 8730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,903,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
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 86,903,987 . The biggest common factor number is the GCF number.
So the greatest common factor 86,903,987 is 1.
Lets's calculate LCM of 45,15,970
3 | 45, 15, 970 |
5 | 15, 5, 970 |
3, 1, 194 |
∴ So the LCM of the given numbers is 3 x 5 x 3 x 1 x 194 = 8730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8730
Therefore, the GCF of Fractions 86/45,903/15,987/970 is 1/8730
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 45,15,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,15,970) = 5
common factors(in case of two or more numbers have common factors) = 15
GCF(45,15,970) x common factors =5 x 15 = 75
LCM(45,15,970) = ( 45 × 15 × 970 ) / 75
LCM(45,15,970) = 654750 / 75
LCM(45,15,970) = 8730
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 86/45, 903/15, 987/970?
Answer: GCF of Numerators as per given numbers 86/45, 903/15, 987/970 is
GCF of Numerators i.e. for 86,903,987 is 1
LCM of denominators i.e. for 45,15,970 is 8730.
Thus, GCF of Fractions is 1/8730.Finally, GCF of Fractions for 86/45, 903/15, 987/970 is 1/8730.