Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/76,87/17,145/779
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 15,87,145
Greatest Common Factor of Numerators i.e. GCF of 15,87,145 is 1 .
LCM of Denominators means LCM of 76,17,779 as per the given fractions.
LCM of 76,17,779 is 52972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,87,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Greatest Common Factor
We found the factors 15,87,145 . The biggest common factor number is the GCF number.
So the greatest common factor 15,87,145 is 1.
Lets's calculate LCM of 76,17,779
19 | 76, 17, 779 |
4, 17, 41 |
∴ So the LCM of the given numbers is 19 x 4 x 17 x 41 = 52972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52972
Therefore, the GCF of Fractions 15/76,87/17,145/779 is 1/52972
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 76,17,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,17,779) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(76,17,779) x common factors =1 x 19 = 19
LCM(76,17,779) = ( 76 × 17 × 779 ) / 19
LCM(76,17,779) = 1006468 / 19
LCM(76,17,779) = 52972
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 15/76, 87/17, 145/779?
Answer: GCF of Numerators as per given numbers 15/76, 87/17, 145/779 is
GCF of Numerators i.e. for 15,87,145 is 1
LCM of denominators i.e. for 76,17,779 is 52972.
Thus, GCF of Fractions is 1/52972.Finally, GCF of Fractions for 15/76, 87/17, 145/779 is 1/52972.