Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 915/96,420/8429
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 915,420
Greatest Common Factor of Numerators i.e. GCF of 915,420 is 15 .
LCM of Denominators means LCM of 96,8429 as per the given fractions.
LCM of 96,8429 is 809184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 915,420
3 | 915, 420 |
5 | 305, 140 |
61, 28 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 915,420 . The biggest common factor number is the GCF number.
So the greatest common factor 915,420 is 15.
Lets's calculate LCM of 96,8429
Given numbers has no common factors except 1. So, there LCM is their product i.e 809184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/809184
Therefore, the GCF of Fractions 915/96,420/8429 is 15/809184
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 96,8429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,8429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,8429) x common factors =1 x 1 = 1
LCM(96,8429) = ( 96 × 8429 ) / 1
LCM(96,8429) = 809184 / 1
LCM(96,8429) = 809184
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 915/96, 420/8429?
Answer: GCF of Numerators as per given numbers 915/96, 420/8429 is
GCF of Numerators i.e. for 915,420 is 15
LCM of denominators i.e. for 96,8429 is 809184.
Thus, GCF of Fractions is 15/809184.Finally, GCF of Fractions for 915/96, 420/8429 is 15/809184.