Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/43,12/99,69/13,17/85
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 63,12,69,17
Greatest Common Factor of Numerators i.e. GCF of 63,12,69,17 is 1 .
LCM of Denominators means LCM of 43,99,13,85 as per the given fractions.
LCM of 43,99,13,85 is 4703985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,12,69,17
∴ 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 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Greatest Common Factor
We found the factors 63,12,69,17 . The biggest common factor number is the GCF number.
So the greatest common factor 63,12,69,17 is 1.
Lets's calculate LCM of 43,99,13,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 4703985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4703985
Therefore, the GCF of Fractions 63/43,12/99,69/13,17/85 is 1/4703985
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 43,99,13,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,99,13,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,99,13,85) x common factors =1 x 1 = 1
LCM(43,99,13,85) = ( 43 × 99 × 13 × 85 ) / 1
LCM(43,99,13,85) = 4703985 / 1
LCM(43,99,13,85) = 4703985
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 63/43, 12/99, 69/13, 17/85?
Answer: GCF of Numerators as per given numbers 63/43, 12/99, 69/13, 17/85 is
GCF of Numerators i.e. for 63,12,69,17 is 1
LCM of denominators i.e. for 43,99,13,85 is 4703985.
Thus, GCF of Fractions is 1/4703985.Finally, GCF of Fractions for 63/43, 12/99, 69/13, 17/85 is 1/4703985.