Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/17,69/856,113/163
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 63,69,113
Greatest Common Factor of Numerators i.e. GCF of 63,69,113 is 1 .
LCM of Denominators means LCM of 17,856,163 as per the given fractions.
LCM of 17,856,163 is 2371976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,69,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Greatest Common Factor
We found the factors 63,69,113 . The biggest common factor number is the GCF number.
So the greatest common factor 63,69,113 is 1.
Lets's calculate LCM of 17,856,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 2371976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2371976
Therefore, the GCF of Fractions 63/17,69/856,113/163 is 1/2371976
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 17,856,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,856,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,856,163) x common factors =1 x 1 = 1
LCM(17,856,163) = ( 17 × 856 × 163 ) / 1
LCM(17,856,163) = 2371976 / 1
LCM(17,856,163) = 2371976
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 63/17, 69/856, 113/163?
Answer: GCF of Numerators as per given numbers 63/17, 69/856, 113/163 is
GCF of Numerators i.e. for 63,69,113 is 1
LCM of denominators i.e. for 17,856,163 is 2371976.
Thus, GCF of Fractions is 1/2371976.Finally, GCF of Fractions for 63/17, 69/856, 113/163 is 1/2371976.