Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/9582,647/2784
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 748,647
Greatest Common Factor of Numerators i.e. GCF of 748,647 is 1 .
LCM of Denominators means LCM of 9582,2784 as per the given fractions.
LCM of 9582,2784 is 4446048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,647
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Greatest Common Factor
We found the factors 748,647 . The biggest common factor number is the GCF number.
So the greatest common factor 748,647 is 1.
Lets's calculate LCM of 9582,2784
2 | 9582, 2784 |
3 | 4791, 1392 |
1597, 464 |
∴ So the LCM of the given numbers is 2 x 3 x 1597 x 464 = 4446048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4446048
Therefore, the GCF of Fractions 748/9582,647/2784 is 1/4446048
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 9582,2784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9582,2784) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(9582,2784) x common factors =6 x 1 = 6
LCM(9582,2784) = ( 9582 × 2784 ) / 6
LCM(9582,2784) = 26676288 / 6
LCM(9582,2784) = 4446048
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 748/9582, 647/2784?
Answer: GCF of Numerators as per given numbers 748/9582, 647/2784 is
GCF of Numerators i.e. for 748,647 is 1
LCM of denominators i.e. for 9582,2784 is 4446048.
Thus, GCF of Fractions is 1/4446048.Finally, GCF of Fractions for 748/9582, 647/2784 is 1/4446048.