Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/73,55/60,79/91,61/297
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 93,55,79,61
Greatest Common Factor of Numerators i.e. GCF of 93,55,79,61 is 1 .
LCM of Denominators means LCM of 73,60,91,297 as per the given fractions.
LCM of 73,60,91,297 is 39459420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,55,79,61
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Greatest Common Factor
We found the factors 93,55,79,61 . The biggest common factor number is the GCF number.
So the greatest common factor 93,55,79,61 is 1.
Lets's calculate LCM of 73,60,91,297
3 | 73, 60, 91, 297 |
73, 20, 91, 99 |
∴ So the LCM of the given numbers is 3 x 73 x 20 x 91 x 99 = 39459420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39459420
Therefore, the GCF of Fractions 93/73,55/60,79/91,61/297 is 1/39459420
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 73,60,91,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,60,91,297) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(73,60,91,297) x common factors =1 x 3 = 3
LCM(73,60,91,297) = ( 73 × 60 × 91 × 297 ) / 3
LCM(73,60,91,297) = 118378260 / 3
LCM(73,60,91,297) = 39459420
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 93/73, 55/60, 79/91, 61/297?
Answer: GCF of Numerators as per given numbers 93/73, 55/60, 79/91, 61/297 is
GCF of Numerators i.e. for 93,55,79,61 is 1
LCM of denominators i.e. for 73,60,91,297 is 39459420.
Thus, GCF of Fractions is 1/39459420.Finally, GCF of Fractions for 93/73, 55/60, 79/91, 61/297 is 1/39459420.