Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 982/80,582/2552
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 982,582
Greatest Common Factor of Numerators i.e. GCF of 982,582 is 2 .
LCM of Denominators means LCM of 80,2552 as per the given fractions.
LCM of 80,2552 is 25520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 982,582
2 | 982, 582 |
491, 291 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 982,582 . The biggest common factor number is the GCF number.
So the greatest common factor 982,582 is 2.
Lets's calculate LCM of 80,2552
2 | 80, 2552 |
2 | 40, 1276 |
2 | 20, 638 |
10, 319 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 319 = 25520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25520
Therefore, the GCF of Fractions 982/80,582/2552 is 2/25520
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 80,2552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,2552) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(80,2552) x common factors =8 x 1 = 8
LCM(80,2552) = ( 80 × 2552 ) / 8
LCM(80,2552) = 204160 / 8
LCM(80,2552) = 25520
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 982/80, 582/2552?
Answer: GCF of Numerators as per given numbers 982/80, 582/2552 is
GCF of Numerators i.e. for 982,582 is 2
LCM of denominators i.e. for 80,2552 is 25520.
Thus, GCF of Fractions is 2/25520.Finally, GCF of Fractions for 982/80, 582/2552 is 2/25520.