Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9983/946,4222/129
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 9983,4222
Greatest Common Factor of Numerators i.e. GCF of 9983,4222 is 1 .
LCM of Denominators means LCM of 946,129 as per the given fractions.
LCM of 946,129 is 2838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9983,4222
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9983
List of positive integer factors of 9983 that divides 9983 without a remainder.
1,67,149,9983
Factors of 4222
List of positive integer factors of 4222 that divides 4222 without a remainder.
1,2,2111,4222
Greatest Common Factor
We found the factors 9983,4222 . The biggest common factor number is the GCF number.
So the greatest common factor 9983,4222 is 1.
Lets's calculate LCM of 946,129
43 | 946, 129 |
22, 3 |
∴ So the LCM of the given numbers is 43 x 22 x 3 = 2838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2838
Therefore, the GCF of Fractions 9983/946,4222/129 is 1/2838
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 946,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,129) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(946,129) x common factors =43 x 1 = 43
LCM(946,129) = ( 946 × 129 ) / 43
LCM(946,129) = 122034 / 43
LCM(946,129) = 2838
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 9983/946, 4222/129?
Answer: GCF of Numerators as per given numbers 9983/946, 4222/129 is
GCF of Numerators i.e. for 9983,4222 is 1
LCM of denominators i.e. for 946,129 is 2838.
Thus, GCF of Fractions is 1/2838.Finally, GCF of Fractions for 9983/946, 4222/129 is 1/2838.