Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1715/60,2958/236
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 1715,2958
Greatest Common Factor of Numerators i.e. GCF of 1715,2958 is 1 .
LCM of Denominators means LCM of 60,236 as per the given fractions.
LCM of 60,236 is 3540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1715,2958
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1715
List of positive integer factors of 1715 that divides 1715 without a remainder.
1,5,7,35,49,245,343,1715
Factors of 2958
List of positive integer factors of 2958 that divides 2958 without a remainder.
1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958
Greatest Common Factor
We found the factors 1715,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 1715,2958 is 1.
Lets's calculate LCM of 60,236
2 | 60, 236 |
2 | 30, 118 |
15, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 59 = 3540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3540
Therefore, the GCF of Fractions 1715/60,2958/236 is 1/3540
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 60,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,236) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(60,236) x common factors =4 x 1 = 4
LCM(60,236) = ( 60 × 236 ) / 4
LCM(60,236) = 14160 / 4
LCM(60,236) = 3540
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 1715/60, 2958/236?
Answer: GCF of Numerators as per given numbers 1715/60, 2958/236 is
GCF of Numerators i.e. for 1715,2958 is 1
LCM of denominators i.e. for 60,236 is 3540.
Thus, GCF of Fractions is 1/3540.Finally, GCF of Fractions for 1715/60, 2958/236 is 1/3540.