Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 954/85,722/15,946/271
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 954,722,946
Greatest Common Factor of Numerators i.e. GCF of 954,722,946 is 2 .
LCM of Denominators means LCM of 85,15,271 as per the given fractions.
LCM of 85,15,271 is 69105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 954,722,946
2 | 954, 722, 946 |
477, 361, 473 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 954,722,946 . The biggest common factor number is the GCF number.
So the greatest common factor 954,722,946 is 2.
Lets's calculate LCM of 85,15,271
5 | 85, 15, 271 |
17, 3, 271 |
∴ So the LCM of the given numbers is 5 x 17 x 3 x 271 = 69105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69105
Therefore, the GCF of Fractions 954/85,722/15,946/271 is 2/69105
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 85,15,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,15,271) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(85,15,271) x common factors =1 x 5 = 5
LCM(85,15,271) = ( 85 × 15 × 271 ) / 5
LCM(85,15,271) = 345525 / 5
LCM(85,15,271) = 69105
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 954/85, 722/15, 946/271?
Answer: GCF of Numerators as per given numbers 954/85, 722/15, 946/271 is
GCF of Numerators i.e. for 954,722,946 is 2
LCM of denominators i.e. for 85,15,271 is 69105.
Thus, GCF of Fractions is 2/69105.Finally, GCF of Fractions for 954/85, 722/15, 946/271 is 2/69105.