Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/73,563/76,544/652
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 95,563,544
Greatest Common Factor of Numerators i.e. GCF of 95,563,544 is 1 .
LCM of Denominators means LCM of 73,76,652 as per the given fractions.
LCM of 73,76,652 is 904324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,563,544
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 95,563,544 . The biggest common factor number is the GCF number.
So the greatest common factor 95,563,544 is 1.
Lets's calculate LCM of 73,76,652
2 | 73, 76, 652 |
2 | 73, 38, 326 |
73, 19, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 19 x 163 = 904324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/904324
Therefore, the GCF of Fractions 95/73,563/76,544/652 is 1/904324
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 73,76,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,76,652) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(73,76,652) x common factors =1 x 4 = 4
LCM(73,76,652) = ( 73 × 76 × 652 ) / 4
LCM(73,76,652) = 3617296 / 4
LCM(73,76,652) = 904324
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 95/73, 563/76, 544/652?
Answer: GCF of Numerators as per given numbers 95/73, 563/76, 544/652 is
GCF of Numerators i.e. for 95,563,544 is 1
LCM of denominators i.e. for 73,76,652 is 904324.
Thus, GCF of Fractions is 1/904324.Finally, GCF of Fractions for 95/73, 563/76, 544/652 is 1/904324.