Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9926/124,2866/972
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 9926,2866
Greatest Common Factor of Numerators i.e. GCF of 9926,2866 is 2 .
LCM of Denominators means LCM of 124,972 as per the given fractions.
LCM of 124,972 is 30132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9926,2866
2 | 9926, 2866 |
4963, 1433 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9926
List of positive integer factors of 9926 that divides 9926 without a remainder.
1,2,7,14,709,1418,4963,9926
Factors of 2866
List of positive integer factors of 2866 that divides 2866 without a remainder.
1,2,1433,2866
Greatest Common Factor
We found the factors 9926,2866 . The biggest common factor number is the GCF number.
So the greatest common factor 9926,2866 is 2.
Lets's calculate LCM of 124,972
2 | 124, 972 |
2 | 62, 486 |
31, 243 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 243 = 30132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30132
Therefore, the GCF of Fractions 9926/124,2866/972 is 2/30132
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 124,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,972) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(124,972) x common factors =4 x 1 = 4
LCM(124,972) = ( 124 × 972 ) / 4
LCM(124,972) = 120528 / 4
LCM(124,972) = 30132
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 9926/124, 2866/972?
Answer: GCF of Numerators as per given numbers 9926/124, 2866/972 is
GCF of Numerators i.e. for 9926,2866 is 2
LCM of denominators i.e. for 124,972 is 30132.
Thus, GCF of Fractions is 2/30132.Finally, GCF of Fractions for 9926/124, 2866/972 is 2/30132.