Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 834/86,373/99,902/271
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 834,373,902
Greatest Common Factor of Numerators i.e. GCF of 834,373,902 is 1 .
LCM of Denominators means LCM of 86,99,271 as per the given fractions.
LCM of 86,99,271 is 2307294 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 834,373,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 834,373,902 . The biggest common factor number is the GCF number.
So the greatest common factor 834,373,902 is 1.
Lets's calculate LCM of 86,99,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 2307294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2307294
Therefore, the GCF of Fractions 834/86,373/99,902/271 is 1/2307294
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 86,99,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,99,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,99,271) x common factors =1 x 1 = 1
LCM(86,99,271) = ( 86 × 99 × 271 ) / 1
LCM(86,99,271) = 2307294 / 1
LCM(86,99,271) = 2307294
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 834/86, 373/99, 902/271?
Answer: GCF of Numerators as per given numbers 834/86, 373/99, 902/271 is
GCF of Numerators i.e. for 834,373,902 is 1
LCM of denominators i.e. for 86,99,271 is 2307294.
Thus, GCF of Fractions is 1/2307294.Finally, GCF of Fractions for 834/86, 373/99, 902/271 is 1/2307294.