Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/95,22/46,108/637
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 60,22,108
Greatest Common Factor of Numerators i.e. GCF of 60,22,108 is 2 .
LCM of Denominators means LCM of 95,46,637 as per the given fractions.
LCM of 95,46,637 is 2783690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,22,108
2 | 60, 22, 108 |
30, 11, 54 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 60,22,108 . The biggest common factor number is the GCF number.
So the greatest common factor 60,22,108 is 2.
Lets's calculate LCM of 95,46,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 2783690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2783690
Therefore, the GCF of Fractions 60/95,22/46,108/637 is 2/2783690
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 95,46,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,46,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,46,637) x common factors =1 x 1 = 1
LCM(95,46,637) = ( 95 × 46 × 637 ) / 1
LCM(95,46,637) = 2783690 / 1
LCM(95,46,637) = 2783690
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 60/95, 22/46, 108/637?
Answer: GCF of Numerators as per given numbers 60/95, 22/46, 108/637 is
GCF of Numerators i.e. for 60,22,108 is 2
LCM of denominators i.e. for 95,46,637 is 2783690.
Thus, GCF of Fractions is 2/2783690.Finally, GCF of Fractions for 60/95, 22/46, 108/637 is 2/2783690.