Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8522/813,9963/526
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 8522,9963
Greatest Common Factor of Numerators i.e. GCF of 8522,9963 is 1 .
LCM of Denominators means LCM of 813,526 as per the given fractions.
LCM of 813,526 is 427638 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8522,9963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8522
List of positive integer factors of 8522 that divides 8522 without a remainder.
1,2,4261,8522
Factors of 9963
List of positive integer factors of 9963 that divides 9963 without a remainder.
1,3,9,27,41,81,123,243,369,1107,3321,9963
Greatest Common Factor
We found the factors 8522,9963 . The biggest common factor number is the GCF number.
So the greatest common factor 8522,9963 is 1.
Lets's calculate LCM of 813,526
Given numbers has no common factors except 1. So, there LCM is their product i.e 427638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427638
Therefore, the GCF of Fractions 8522/813,9963/526 is 1/427638
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 813,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,526) x common factors =1 x 1 = 1
LCM(813,526) = ( 813 × 526 ) / 1
LCM(813,526) = 427638 / 1
LCM(813,526) = 427638
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 8522/813, 9963/526?
Answer: GCF of Numerators as per given numbers 8522/813, 9963/526 is
GCF of Numerators i.e. for 8522,9963 is 1
LCM of denominators i.e. for 813,526 is 427638.
Thus, GCF of Fractions is 1/427638.Finally, GCF of Fractions for 8522/813, 9963/526 is 1/427638.