Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4688/498,9077/420
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 4688,9077
Greatest Common Factor of Numerators i.e. GCF of 4688,9077 is 1 .
LCM of Denominators means LCM of 498,420 as per the given fractions.
LCM of 498,420 is 34860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4688,9077
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4688
List of positive integer factors of 4688 that divides 4688 without a remainder.
1,2,4,8,16,293,586,1172,2344,4688
Factors of 9077
List of positive integer factors of 9077 that divides 9077 without a remainder.
1,29,313,9077
Greatest Common Factor
We found the factors 4688,9077 . The biggest common factor number is the GCF number.
So the greatest common factor 4688,9077 is 1.
Lets's calculate LCM of 498,420
2 | 498, 420 |
3 | 249, 210 |
83, 70 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 70 = 34860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34860
Therefore, the GCF of Fractions 4688/498,9077/420 is 1/34860
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 498,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,420) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,420) x common factors =6 x 1 = 6
LCM(498,420) = ( 498 × 420 ) / 6
LCM(498,420) = 209160 / 6
LCM(498,420) = 34860
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 4688/498, 9077/420?
Answer: GCF of Numerators as per given numbers 4688/498, 9077/420 is
GCF of Numerators i.e. for 4688,9077 is 1
LCM of denominators i.e. for 498,420 is 34860.
Thus, GCF of Fractions is 1/34860.Finally, GCF of Fractions for 4688/498, 9077/420 is 1/34860.