Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9947/564,2621/829
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 9947,2621
Greatest Common Factor of Numerators i.e. GCF of 9947,2621 is 1 .
LCM of Denominators means LCM of 564,829 as per the given fractions.
LCM of 564,829 is 467556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9947,2621
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9947
List of positive integer factors of 9947 that divides 9947 without a remainder.
1,7,29,49,203,343,1421,9947
Factors of 2621
List of positive integer factors of 2621 that divides 2621 without a remainder.
1,2621
Greatest Common Factor
We found the factors 9947,2621 . The biggest common factor number is the GCF number.
So the greatest common factor 9947,2621 is 1.
Lets's calculate LCM of 564,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 467556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467556
Therefore, the GCF of Fractions 9947/564,2621/829 is 1/467556
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 564,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,829) x common factors =1 x 1 = 1
LCM(564,829) = ( 564 × 829 ) / 1
LCM(564,829) = 467556 / 1
LCM(564,829) = 467556
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 9947/564, 2621/829?
Answer: GCF of Numerators as per given numbers 9947/564, 2621/829 is
GCF of Numerators i.e. for 9947,2621 is 1
LCM of denominators i.e. for 564,829 is 467556.
Thus, GCF of Fractions is 1/467556.Finally, GCF of Fractions for 9947/564, 2621/829 is 1/467556.