Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 870/562,210/293,384/863
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 870,210,384
Greatest Common Factor of Numerators i.e. GCF of 870,210,384 is 6 .
LCM of Denominators means LCM of 562,293,863 as per the given fractions.
LCM of 562,293,863 is 142106758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 870,210,384
2 | 870, 210, 384 |
3 | 435, 105, 192 |
145, 35, 64 |
∴ So the GCF of the given numbers is 2 x 3 = 6
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 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 870,210,384 . The biggest common factor number is the GCF number.
So the greatest common factor 870,210,384 is 6.
Lets's calculate LCM of 562,293,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 142106758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/142106758
Therefore, the GCF of Fractions 870/562,210/293,384/863 is 6/142106758
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 562,293,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,293,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,293,863) x common factors =1 x 1 = 1
LCM(562,293,863) = ( 562 × 293 × 863 ) / 1
LCM(562,293,863) = 142106758 / 1
LCM(562,293,863) = 142106758
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 870/562, 210/293, 384/863?
Answer: GCF of Numerators as per given numbers 870/562, 210/293, 384/863 is
GCF of Numerators i.e. for 870,210,384 is 6
LCM of denominators i.e. for 562,293,863 is 142106758.
Thus, GCF of Fractions is 6/142106758.Finally, GCF of Fractions for 870/562, 210/293, 384/863 is 6/142106758.