Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/156,83/236,947/295
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 36,83,947
Greatest Common Factor of Numerators i.e. GCF of 36,83,947 is 1 .
LCM of Denominators means LCM of 156,236,295 as per the given fractions.
LCM of 156,236,295 is 46020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,83,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 36,83,947 . The biggest common factor number is the GCF number.
So the greatest common factor 36,83,947 is 1.
Lets's calculate LCM of 156,236,295
2 | 156, 236, 295 |
2 | 78, 118, 295 |
59 | 39, 59, 295 |
39, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 39 x 1 x 5 = 46020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46020
Therefore, the GCF of Fractions 36/156,83/236,947/295 is 1/46020
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 156,236,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,236,295) = 1
common factors(in case of two or more numbers have common factors) = 236
GCF(156,236,295) x common factors =1 x 236 = 236
LCM(156,236,295) = ( 156 × 236 × 295 ) / 236
LCM(156,236,295) = 10860720 / 236
LCM(156,236,295) = 46020
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 36/156, 83/236, 947/295?
Answer: GCF of Numerators as per given numbers 36/156, 83/236, 947/295 is
GCF of Numerators i.e. for 36,83,947 is 1
LCM of denominators i.e. for 156,236,295 is 46020.
Thus, GCF of Fractions is 1/46020.Finally, GCF of Fractions for 36/156, 83/236, 947/295 is 1/46020.