Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9027/994,9977/6092
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 9027,9977
Greatest Common Factor of Numerators i.e. GCF of 9027,9977 is 1 .
LCM of Denominators means LCM of 994,6092 as per the given fractions.
LCM of 994,6092 is 3027724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9027,9977
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9027
List of positive integer factors of 9027 that divides 9027 without a remainder.
1,3,9,17,51,59,153,177,531,1003,3009,9027
Factors of 9977
List of positive integer factors of 9977 that divides 9977 without a remainder.
1,11,907,9977
Greatest Common Factor
We found the factors 9027,9977 . The biggest common factor number is the GCF number.
So the greatest common factor 9027,9977 is 1.
Lets's calculate LCM of 994,6092
2 | 994, 6092 |
497, 3046 |
∴ So the LCM of the given numbers is 2 x 497 x 3046 = 3027724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3027724
Therefore, the GCF of Fractions 9027/994,9977/6092 is 1/3027724
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 994,6092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,6092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,6092) x common factors =2 x 1 = 2
LCM(994,6092) = ( 994 × 6092 ) / 2
LCM(994,6092) = 6055448 / 2
LCM(994,6092) = 3027724
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 9027/994, 9977/6092?
Answer: GCF of Numerators as per given numbers 9027/994, 9977/6092 is
GCF of Numerators i.e. for 9027,9977 is 1
LCM of denominators i.e. for 994,6092 is 3027724.
Thus, GCF of Fractions is 1/3027724.Finally, GCF of Fractions for 9027/994, 9977/6092 is 1/3027724.