Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/68,32/41,712/236
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 20,32,712
Greatest Common Factor of Numerators i.e. GCF of 20,32,712 is 4 .
LCM of Denominators means LCM of 68,41,236 as per the given fractions.
LCM of 68,41,236 is 164492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,32,712
2 | 20, 32, 712 |
2 | 10, 16, 356 |
5, 8, 178 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 20,32,712 . The biggest common factor number is the GCF number.
So the greatest common factor 20,32,712 is 4.
Lets's calculate LCM of 68,41,236
2 | 68, 41, 236 |
2 | 34, 41, 118 |
17, 41, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 41 x 59 = 164492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/164492
Therefore, the GCF of Fractions 20/68,32/41,712/236 is 4/164492
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 68,41,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,41,236) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,41,236) x common factors =1 x 4 = 4
LCM(68,41,236) = ( 68 × 41 × 236 ) / 4
LCM(68,41,236) = 657968 / 4
LCM(68,41,236) = 164492
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 20/68, 32/41, 712/236?
Answer: GCF of Numerators as per given numbers 20/68, 32/41, 712/236 is
GCF of Numerators i.e. for 20,32,712 is 4
LCM of denominators i.e. for 68,41,236 is 164492.
Thus, GCF of Fractions is 4/164492.Finally, GCF of Fractions for 20/68, 32/41, 712/236 is 4/164492.