Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/30,26/63,137/981
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 61,26,137
Greatest Common Factor of Numerators i.e. GCF of 61,26,137 is 1 .
LCM of Denominators means LCM of 30,63,981 as per the given fractions.
LCM of 30,63,981 is 68670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,26,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 61,26,137 . The biggest common factor number is the GCF number.
So the greatest common factor 61,26,137 is 1.
Lets's calculate LCM of 30,63,981
3 | 30, 63, 981 |
3 | 10, 21, 327 |
10, 7, 109 |
∴ So the LCM of the given numbers is 3 x 3 x 10 x 7 x 109 = 68670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68670
Therefore, the GCF of Fractions 61/30,26/63,137/981 is 1/68670
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 30,63,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,63,981) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(30,63,981) x common factors =3 x 9 = 27
LCM(30,63,981) = ( 30 × 63 × 981 ) / 27
LCM(30,63,981) = 1854090 / 27
LCM(30,63,981) = 68670
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 61/30, 26/63, 137/981?
Answer: GCF of Numerators as per given numbers 61/30, 26/63, 137/981 is
GCF of Numerators i.e. for 61,26,137 is 1
LCM of denominators i.e. for 30,63,981 is 68670.
Thus, GCF of Fractions is 1/68670.Finally, GCF of Fractions for 61/30, 26/63, 137/981 is 1/68670.