Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9991/29,2920/367
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 9991,2920
Greatest Common Factor of Numerators i.e. GCF of 9991,2920 is 1 .
LCM of Denominators means LCM of 29,367 as per the given fractions.
LCM of 29,367 is 10643 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9991,2920
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9991
List of positive integer factors of 9991 that divides 9991 without a remainder.
1,97,103,9991
Factors of 2920
List of positive integer factors of 2920 that divides 2920 without a remainder.
1,2,4,5,8,10,20,40,73,146,292,365,584,730,1460,2920
Greatest Common Factor
We found the factors 9991,2920 . The biggest common factor number is the GCF number.
So the greatest common factor 9991,2920 is 1.
Lets's calculate LCM of 29,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 10643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10643
Therefore, the GCF of Fractions 9991/29,2920/367 is 1/10643
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 29,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,367) x common factors =1 x 1 = 1
LCM(29,367) = ( 29 × 367 ) / 1
LCM(29,367) = 10643 / 1
LCM(29,367) = 10643
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 9991/29, 2920/367?
Answer: GCF of Numerators as per given numbers 9991/29, 2920/367 is
GCF of Numerators i.e. for 9991,2920 is 1
LCM of denominators i.e. for 29,367 is 10643.
Thus, GCF of Fractions is 1/10643.Finally, GCF of Fractions for 9991/29, 2920/367 is 1/10643.