Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 721/662,2325/192
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 721,2325
Greatest Common Factor of Numerators i.e. GCF of 721,2325 is 1 .
LCM of Denominators means LCM of 662,192 as per the given fractions.
LCM of 662,192 is 63552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 721,2325
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 2325
List of positive integer factors of 2325 that divides 2325 without a remainder.
1,3,5,15,25,31,75,93,155,465,775,2325
Greatest Common Factor
We found the factors 721,2325 . The biggest common factor number is the GCF number.
So the greatest common factor 721,2325 is 1.
Lets's calculate LCM of 662,192
2 | 662, 192 |
331, 96 |
∴ So the LCM of the given numbers is 2 x 331 x 96 = 63552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63552
Therefore, the GCF of Fractions 721/662,2325/192 is 1/63552
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 662,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,192) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,192) x common factors =2 x 1 = 2
LCM(662,192) = ( 662 × 192 ) / 2
LCM(662,192) = 127104 / 2
LCM(662,192) = 63552
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 721/662, 2325/192?
Answer: GCF of Numerators as per given numbers 721/662, 2325/192 is
GCF of Numerators i.e. for 721,2325 is 1
LCM of denominators i.e. for 662,192 is 63552.
Thus, GCF of Fractions is 1/63552.Finally, GCF of Fractions for 721/662, 2325/192 is 1/63552.