Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 870/35,149/85,271/832
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 870,149,271
Greatest Common Factor of Numerators i.e. GCF of 870,149,271 is 1 .
LCM of Denominators means LCM of 35,85,832 as per the given fractions.
LCM of 35,85,832 is 495040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 870,149,271
∴ 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 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Greatest Common Factor
We found the factors 870,149,271 . The biggest common factor number is the GCF number.
So the greatest common factor 870,149,271 is 1.
Lets's calculate LCM of 35,85,832
5 | 35, 85, 832 |
7, 17, 832 |
∴ So the LCM of the given numbers is 5 x 7 x 17 x 832 = 495040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495040
Therefore, the GCF of Fractions 870/35,149/85,271/832 is 1/495040
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 35,85,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,85,832) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,85,832) x common factors =1 x 5 = 5
LCM(35,85,832) = ( 35 × 85 × 832 ) / 5
LCM(35,85,832) = 2475200 / 5
LCM(35,85,832) = 495040
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 870/35, 149/85, 271/832?
Answer: GCF of Numerators as per given numbers 870/35, 149/85, 271/832 is
GCF of Numerators i.e. for 870,149,271 is 1
LCM of denominators i.e. for 35,85,832 is 495040.
Thus, GCF of Fractions is 1/495040.Finally, GCF of Fractions for 870/35, 149/85, 271/832 is 1/495040.