Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 985/322,391/480,378/210
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 985,391,378
Greatest Common Factor of Numerators i.e. GCF of 985,391,378 is 1 .
LCM of Denominators means LCM of 322,480,210 as per the given fractions.
LCM of 322,480,210 is 77280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 985,391,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 985,391,378 . The biggest common factor number is the GCF number.
So the greatest common factor 985,391,378 is 1.
Lets's calculate LCM of 322,480,210
2 | 322, 480, 210 |
3 | 161, 240, 105 |
5 | 161, 80, 35 |
7 | 161, 16, 7 |
23, 16, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 23 x 16 x 1 = 77280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77280
Therefore, the GCF of Fractions 985/322,391/480,378/210 is 1/77280
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 322,480,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,480,210) = 2
common factors(in case of two or more numbers have common factors) = 210
GCF(322,480,210) x common factors =2 x 210 = 420
LCM(322,480,210) = ( 322 × 480 × 210 ) / 420
LCM(322,480,210) = 32457600 / 420
LCM(322,480,210) = 77280
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 985/322, 391/480, 378/210?
Answer: GCF of Numerators as per given numbers 985/322, 391/480, 378/210 is
GCF of Numerators i.e. for 985,391,378 is 1
LCM of denominators i.e. for 322,480,210 is 77280.
Thus, GCF of Fractions is 1/77280.Finally, GCF of Fractions for 985/322, 391/480, 378/210 is 1/77280.