Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9866/989,9434/503
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 9866,9434
Greatest Common Factor of Numerators i.e. GCF of 9866,9434 is 2 .
LCM of Denominators means LCM of 989,503 as per the given fractions.
LCM of 989,503 is 497467 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9866,9434
2 | 9866, 9434 |
4933, 4717 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9866
List of positive integer factors of 9866 that divides 9866 without a remainder.
1,2,4933,9866
Factors of 9434
List of positive integer factors of 9434 that divides 9434 without a remainder.
1,2,53,89,106,178,4717,9434
Greatest Common Factor
We found the factors 9866,9434 . The biggest common factor number is the GCF number.
So the greatest common factor 9866,9434 is 2.
Lets's calculate LCM of 989,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 497467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/497467
Therefore, the GCF of Fractions 9866/989,9434/503 is 2/497467
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 989,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,503) x common factors =1 x 1 = 1
LCM(989,503) = ( 989 × 503 ) / 1
LCM(989,503) = 497467 / 1
LCM(989,503) = 497467
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 9866/989, 9434/503?
Answer: GCF of Numerators as per given numbers 9866/989, 9434/503 is
GCF of Numerators i.e. for 9866,9434 is 2
LCM of denominators i.e. for 989,503 is 497467.
Thus, GCF of Fractions is 2/497467.Finally, GCF of Fractions for 9866/989, 9434/503 is 2/497467.