Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/41,70/97,12/74,22/797
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 36,70,12,22
Greatest Common Factor of Numerators i.e. GCF of 36,70,12,22 is 2 .
LCM of Denominators means LCM of 41,97,74,797 as per the given fractions.
LCM of 41,97,74,797 is 234555506 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,70,12,22
2 | 36, 70, 12, 22 |
18, 35, 6, 11 |
∴ So the GCF of the given numbers is 2 = 2
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 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Greatest Common Factor
We found the factors 36,70,12,22 . The biggest common factor number is the GCF number.
So the greatest common factor 36,70,12,22 is 2.
Lets's calculate LCM of 41,97,74,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 234555506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/234555506
Therefore, the GCF of Fractions 36/41,70/97,12/74,22/797 is 2/234555506
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 41,97,74,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,97,74,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,97,74,797) x common factors =1 x 1 = 1
LCM(41,97,74,797) = ( 41 × 97 × 74 × 797 ) / 1
LCM(41,97,74,797) = 234555506 / 1
LCM(41,97,74,797) = 234555506
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 36/41, 70/97, 12/74, 22/797?
Answer: GCF of Numerators as per given numbers 36/41, 70/97, 12/74, 22/797 is
GCF of Numerators i.e. for 36,70,12,22 is 2
LCM of denominators i.e. for 41,97,74,797 is 234555506.
Thus, GCF of Fractions is 2/234555506.Finally, GCF of Fractions for 36/41, 70/97, 12/74, 22/797 is 2/234555506.