Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8595/84,5454/177
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 8595,5454
Greatest Common Factor of Numerators i.e. GCF of 8595,5454 is 9 .
LCM of Denominators means LCM of 84,177 as per the given fractions.
LCM of 84,177 is 4956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8595,5454
3 | 8595, 5454 |
3 | 2865, 1818 |
955, 606 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 8595
List of positive integer factors of 8595 that divides 8595 without a remainder.
1,3,5,9,15,45,191,573,955,1719,2865,8595
Factors of 5454
List of positive integer factors of 5454 that divides 5454 without a remainder.
1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Greatest Common Factor
We found the factors 8595,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 8595,5454 is 9.
Lets's calculate LCM of 84,177
3 | 84, 177 |
28, 59 |
∴ So the LCM of the given numbers is 3 x 28 x 59 = 4956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4956
Therefore, the GCF of Fractions 8595/84,5454/177 is 9/4956
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 84,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,177) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(84,177) x common factors =3 x 1 = 3
LCM(84,177) = ( 84 × 177 ) / 3
LCM(84,177) = 14868 / 3
LCM(84,177) = 4956
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 8595/84, 5454/177?
Answer: GCF of Numerators as per given numbers 8595/84, 5454/177 is
GCF of Numerators i.e. for 8595,5454 is 9
LCM of denominators i.e. for 84,177 is 4956.
Thus, GCF of Fractions is 9/4956.Finally, GCF of Fractions for 8595/84, 5454/177 is 9/4956.