Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 837/967,339/982
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 837,339
Greatest Common Factor of Numerators i.e. GCF of 837,339 is 3 .
LCM of Denominators means LCM of 967,982 as per the given fractions.
LCM of 967,982 is 949594 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 837,339
3 | 837, 339 |
279, 113 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 837,339 . The biggest common factor number is the GCF number.
So the greatest common factor 837,339 is 3.
Lets's calculate LCM of 967,982
Given numbers has no common factors except 1. So, there LCM is their product i.e 949594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/949594
Therefore, the GCF of Fractions 837/967,339/982 is 3/949594
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 967,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,982) x common factors =1 x 1 = 1
LCM(967,982) = ( 967 × 982 ) / 1
LCM(967,982) = 949594 / 1
LCM(967,982) = 949594
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 837/967, 339/982?
Answer: GCF of Numerators as per given numbers 837/967, 339/982 is
GCF of Numerators i.e. for 837,339 is 3
LCM of denominators i.e. for 967,982 is 949594.
Thus, GCF of Fractions is 3/949594.Finally, GCF of Fractions for 837/967, 339/982 is 3/949594.