Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 870/20,209/81,865/598
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 870,209,865
Greatest Common Factor of Numerators i.e. GCF of 870,209,865 is 1 .
LCM of Denominators means LCM of 20,81,598 as per the given fractions.
LCM of 20,81,598 is 484380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 870,209,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Greatest Common Factor
We found the factors 870,209,865 . The biggest common factor number is the GCF number.
So the greatest common factor 870,209,865 is 1.
Lets's calculate LCM of 20,81,598
2 | 20, 81, 598 |
10, 81, 299 |
∴ So the LCM of the given numbers is 2 x 10 x 81 x 299 = 484380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/484380
Therefore, the GCF of Fractions 870/20,209/81,865/598 is 1/484380
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 20,81,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,81,598) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(20,81,598) x common factors =1 x 2 = 2
LCM(20,81,598) = ( 20 × 81 × 598 ) / 2
LCM(20,81,598) = 968760 / 2
LCM(20,81,598) = 484380
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 870/20, 209/81, 865/598?
Answer: GCF of Numerators as per given numbers 870/20, 209/81, 865/598 is
GCF of Numerators i.e. for 870,209,865 is 1
LCM of denominators i.e. for 20,81,598 is 484380.
Thus, GCF of Fractions is 1/484380.Finally, GCF of Fractions for 870/20, 209/81, 865/598 is 1/484380.