Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 684/741,4977/495
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 684,4977
Greatest Common Factor of Numerators i.e. GCF of 684,4977 is 9 .
LCM of Denominators means LCM of 741,495 as per the given fractions.
LCM of 741,495 is 122265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 684,4977
3 | 684, 4977 |
3 | 228, 1659 |
76, 553 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 4977
List of positive integer factors of 4977 that divides 4977 without a remainder.
1,3,7,9,21,63,79,237,553,711,1659,4977
Greatest Common Factor
We found the factors 684,4977 . The biggest common factor number is the GCF number.
So the greatest common factor 684,4977 is 9.
Lets's calculate LCM of 741,495
3 | 741, 495 |
247, 165 |
∴ So the LCM of the given numbers is 3 x 247 x 165 = 122265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/122265
Therefore, the GCF of Fractions 684/741,4977/495 is 9/122265
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 741,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,495) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,495) x common factors =3 x 1 = 3
LCM(741,495) = ( 741 × 495 ) / 3
LCM(741,495) = 366795 / 3
LCM(741,495) = 122265
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 684/741, 4977/495?
Answer: GCF of Numerators as per given numbers 684/741, 4977/495 is
GCF of Numerators i.e. for 684,4977 is 9
LCM of denominators i.e. for 741,495 is 122265.
Thus, GCF of Fractions is 9/122265.Finally, GCF of Fractions for 684/741, 4977/495 is 9/122265.