Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 983/142,845/355,599/302
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 983,845,599
Greatest Common Factor of Numerators i.e. GCF of 983,845,599 is 1 .
LCM of Denominators means LCM of 142,355,302 as per the given fractions.
LCM of 142,355,302 is 107210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 983,845,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Greatest Common Factor
We found the factors 983,845,599 . The biggest common factor number is the GCF number.
So the greatest common factor 983,845,599 is 1.
Lets's calculate LCM of 142,355,302
2 | 142, 355, 302 |
71 | 71, 355, 151 |
1, 5, 151 |
∴ So the LCM of the given numbers is 2 x 71 x 1 x 5 x 151 = 107210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107210
Therefore, the GCF of Fractions 983/142,845/355,599/302 is 1/107210
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 142,355,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,355,302) = 1
common factors(in case of two or more numbers have common factors) = 142
GCF(142,355,302) x common factors =1 x 142 = 142
LCM(142,355,302) = ( 142 × 355 × 302 ) / 142
LCM(142,355,302) = 15223820 / 142
LCM(142,355,302) = 107210
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 983/142, 845/355, 599/302?
Answer: GCF of Numerators as per given numbers 983/142, 845/355, 599/302 is
GCF of Numerators i.e. for 983,845,599 is 1
LCM of denominators i.e. for 142,355,302 is 107210.
Thus, GCF of Fractions is 1/107210.Finally, GCF of Fractions for 983/142, 845/355, 599/302 is 1/107210.