Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/36,61/13,653/163
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 99,61,653
Greatest Common Factor of Numerators i.e. GCF of 99,61,653 is 1 .
LCM of Denominators means LCM of 36,13,163 as per the given fractions.
LCM of 36,13,163 is 76284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,61,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Greatest Common Factor
We found the factors 99,61,653 . The biggest common factor number is the GCF number.
So the greatest common factor 99,61,653 is 1.
Lets's calculate LCM of 36,13,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 76284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76284
Therefore, the GCF of Fractions 99/36,61/13,653/163 is 1/76284
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 36,13,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,13,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,13,163) x common factors =1 x 1 = 1
LCM(36,13,163) = ( 36 × 13 × 163 ) / 1
LCM(36,13,163) = 76284 / 1
LCM(36,13,163) = 76284
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 99/36, 61/13, 653/163?
Answer: GCF of Numerators as per given numbers 99/36, 61/13, 653/163 is
GCF of Numerators i.e. for 99,61,653 is 1
LCM of denominators i.e. for 36,13,163 is 76284.
Thus, GCF of Fractions is 1/76284.Finally, GCF of Fractions for 99/36, 61/13, 653/163 is 1/76284.