Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/71,39/25,456/719
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 93,39,456
Greatest Common Factor of Numerators i.e. GCF of 93,39,456 is 3 .
LCM of Denominators means LCM of 71,25,719 as per the given fractions.
LCM of 71,25,719 is 1276225 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,39,456
3 | 93, 39, 456 |
31, 13, 152 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 93,39,456 . The biggest common factor number is the GCF number.
So the greatest common factor 93,39,456 is 3.
Lets's calculate LCM of 71,25,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 1276225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1276225
Therefore, the GCF of Fractions 93/71,39/25,456/719 is 3/1276225
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 71,25,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,25,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,25,719) x common factors =1 x 1 = 1
LCM(71,25,719) = ( 71 × 25 × 719 ) / 1
LCM(71,25,719) = 1276225 / 1
LCM(71,25,719) = 1276225
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 93/71, 39/25, 456/719?
Answer: GCF of Numerators as per given numbers 93/71, 39/25, 456/719 is
GCF of Numerators i.e. for 93,39,456 is 3
LCM of denominators i.e. for 71,25,719 is 1276225.
Thus, GCF of Fractions is 3/1276225.Finally, GCF of Fractions for 93/71, 39/25, 456/719 is 3/1276225.