Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/863,99/595,697/153
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 52,99,697
Greatest Common Factor of Numerators i.e. GCF of 52,99,697 is 1 .
LCM of Denominators means LCM of 863,595,153 as per the given fractions.
LCM of 863,595,153 is 4621365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,99,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 52,99,697 . The biggest common factor number is the GCF number.
So the greatest common factor 52,99,697 is 1.
Lets's calculate LCM of 863,595,153
17 | 863, 595, 153 |
863, 35, 9 |
∴ So the LCM of the given numbers is 17 x 863 x 35 x 9 = 4621365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4621365
Therefore, the GCF of Fractions 52/863,99/595,697/153 is 1/4621365
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 863,595,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,595,153) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(863,595,153) x common factors =1 x 17 = 17
LCM(863,595,153) = ( 863 × 595 × 153 ) / 17
LCM(863,595,153) = 78563205 / 17
LCM(863,595,153) = 4621365
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 52/863, 99/595, 697/153?
Answer: GCF of Numerators as per given numbers 52/863, 99/595, 697/153 is
GCF of Numerators i.e. for 52,99,697 is 1
LCM of denominators i.e. for 863,595,153 is 4621365.
Thus, GCF of Fractions is 1/4621365.Finally, GCF of Fractions for 52/863, 99/595, 697/153 is 1/4621365.