Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9907/643,8430/5511
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 9907,8430
Greatest Common Factor of Numerators i.e. GCF of 9907,8430 is 1 .
LCM of Denominators means LCM of 643,5511 as per the given fractions.
LCM of 643,5511 is 3543573 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9907,8430
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9907
List of positive integer factors of 9907 that divides 9907 without a remainder.
1,9907
Factors of 8430
List of positive integer factors of 8430 that divides 8430 without a remainder.
1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Greatest Common Factor
We found the factors 9907,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 9907,8430 is 1.
Lets's calculate LCM of 643,5511
Given numbers has no common factors except 1. So, there LCM is their product i.e 3543573
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3543573
Therefore, the GCF of Fractions 9907/643,8430/5511 is 1/3543573
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 643,5511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,5511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,5511) x common factors =1 x 1 = 1
LCM(643,5511) = ( 643 × 5511 ) / 1
LCM(643,5511) = 3543573 / 1
LCM(643,5511) = 3543573
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 9907/643, 8430/5511?
Answer: GCF of Numerators as per given numbers 9907/643, 8430/5511 is
GCF of Numerators i.e. for 9907,8430 is 1
LCM of denominators i.e. for 643,5511 is 3543573.
Thus, GCF of Fractions is 1/3543573.Finally, GCF of Fractions for 9907/643, 8430/5511 is 1/3543573.