Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 120/21,188/98,723/456
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 120,188,723
Greatest Common Factor of Numerators i.e. GCF of 120,188,723 is 1 .
LCM of Denominators means LCM of 21,98,456 as per the given fractions.
LCM of 21,98,456 is 22344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 120,188,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 120,188,723 . The biggest common factor number is the GCF number.
So the greatest common factor 120,188,723 is 1.
Lets's calculate LCM of 21,98,456
2 | 21, 98, 456 |
3 | 21, 49, 228 |
7 | 7, 49, 76 |
1, 7, 76 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 7 x 76 = 22344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22344
Therefore, the GCF of Fractions 120/21,188/98,723/456 is 1/22344
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 21,98,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,98,456) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(21,98,456) x common factors =1 x 42 = 42
LCM(21,98,456) = ( 21 × 98 × 456 ) / 42
LCM(21,98,456) = 938448 / 42
LCM(21,98,456) = 22344
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 120/21, 188/98, 723/456?
Answer: GCF of Numerators as per given numbers 120/21, 188/98, 723/456 is
GCF of Numerators i.e. for 120,188,723 is 1
LCM of denominators i.e. for 21,98,456 is 22344.
Thus, GCF of Fractions is 1/22344.Finally, GCF of Fractions for 120/21, 188/98, 723/456 is 1/22344.