Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9998/61,8167/107
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 9998,8167
Greatest Common Factor of Numerators i.e. GCF of 9998,8167 is 1 .
LCM of Denominators means LCM of 61,107 as per the given fractions.
LCM of 61,107 is 6527 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9998,8167
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9998
List of positive integer factors of 9998 that divides 9998 without a remainder.
1,2,4999,9998
Factors of 8167
List of positive integer factors of 8167 that divides 8167 without a remainder.
1,8167
Greatest Common Factor
We found the factors 9998,8167 . The biggest common factor number is the GCF number.
So the greatest common factor 9998,8167 is 1.
Lets's calculate LCM of 61,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 6527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6527
Therefore, the GCF of Fractions 9998/61,8167/107 is 1/6527
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 61,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,107) x common factors =1 x 1 = 1
LCM(61,107) = ( 61 × 107 ) / 1
LCM(61,107) = 6527 / 1
LCM(61,107) = 6527
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 9998/61, 8167/107?
Answer: GCF of Numerators as per given numbers 9998/61, 8167/107 is
GCF of Numerators i.e. for 9998,8167 is 1
LCM of denominators i.e. for 61,107 is 6527.
Thus, GCF of Fractions is 1/6527.Finally, GCF of Fractions for 9998/61, 8167/107 is 1/6527.