Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 870/45,124/75,854/651
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 870,124,854
Greatest Common Factor of Numerators i.e. GCF of 870,124,854 is 2 .
LCM of Denominators means LCM of 45,75,651 as per the given fractions.
LCM of 45,75,651 is 48825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 870,124,854
2 | 870, 124, 854 |
435, 62, 427 |
∴ So the GCF of the given numbers is 2 = 2
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 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 870,124,854 . The biggest common factor number is the GCF number.
So the greatest common factor 870,124,854 is 2.
Lets's calculate LCM of 45,75,651
3 | 45, 75, 651 |
5 | 15, 25, 217 |
3, 5, 217 |
∴ So the LCM of the given numbers is 3 x 5 x 3 x 5 x 217 = 48825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48825
Therefore, the GCF of Fractions 870/45,124/75,854/651 is 2/48825
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 45,75,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,75,651) = 3
common factors(in case of two or more numbers have common factors) = 15
GCF(45,75,651) x common factors =3 x 15 = 45
LCM(45,75,651) = ( 45 × 75 × 651 ) / 45
LCM(45,75,651) = 2197125 / 45
LCM(45,75,651) = 48825
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 870/45, 124/75, 854/651?
Answer: GCF of Numerators as per given numbers 870/45, 124/75, 854/651 is
GCF of Numerators i.e. for 870,124,854 is 2
LCM of denominators i.e. for 45,75,651 is 48825.
Thus, GCF of Fractions is 2/48825.Finally, GCF of Fractions for 870/45, 124/75, 854/651 is 2/48825.