Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/73,60/13,136/29
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 62,60,136
Greatest Common Factor of Numerators i.e. GCF of 62,60,136 is 2 .
LCM of Denominators means LCM of 73,13,29 as per the given fractions.
LCM of 73,13,29 is 27521 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,60,136
2 | 62, 60, 136 |
31, 30, 68 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
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 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 62,60,136 . The biggest common factor number is the GCF number.
So the greatest common factor 62,60,136 is 2.
Lets's calculate LCM of 73,13,29
Given numbers has no common factors except 1. So, there LCM is their product i.e 27521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27521
Therefore, the GCF of Fractions 62/73,60/13,136/29 is 2/27521
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 73,13,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,13,29) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,13,29) x common factors =1 x 1 = 1
LCM(73,13,29) = ( 73 × 13 × 29 ) / 1
LCM(73,13,29) = 27521 / 1
LCM(73,13,29) = 27521
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 62/73, 60/13, 136/29?
Answer: GCF of Numerators as per given numbers 62/73, 60/13, 136/29 is
GCF of Numerators i.e. for 62,60,136 is 2
LCM of denominators i.e. for 73,13,29 is 27521.
Thus, GCF of Fractions is 2/27521.Finally, GCF of Fractions for 62/73, 60/13, 136/29 is 2/27521.