Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 531/946,922/303,939/621
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 531,922,939
Greatest Common Factor of Numerators i.e. GCF of 531,922,939 is 1 .
LCM of Denominators means LCM of 946,303,621 as per the given fractions.
LCM of 946,303,621 is 59334066 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 531,922,939
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 531,922,939 . The biggest common factor number is the GCF number.
So the greatest common factor 531,922,939 is 1.
Lets's calculate LCM of 946,303,621
3 | 946, 303, 621 |
946, 101, 207 |
∴ So the LCM of the given numbers is 3 x 946 x 101 x 207 = 59334066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59334066
Therefore, the GCF of Fractions 531/946,922/303,939/621 is 1/59334066
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 946,303,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,303,621) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(946,303,621) x common factors =1 x 3 = 3
LCM(946,303,621) = ( 946 × 303 × 621 ) / 3
LCM(946,303,621) = 178002198 / 3
LCM(946,303,621) = 59334066
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 531/946, 922/303, 939/621?
Answer: GCF of Numerators as per given numbers 531/946, 922/303, 939/621 is
GCF of Numerators i.e. for 531,922,939 is 1
LCM of denominators i.e. for 946,303,621 is 59334066.
Thus, GCF of Fractions is 1/59334066.Finally, GCF of Fractions for 531/946, 922/303, 939/621 is 1/59334066.