Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4722/468,1651/9144
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 4722,1651
Greatest Common Factor of Numerators i.e. GCF of 4722,1651 is 1 .
LCM of Denominators means LCM of 468,9144 as per the given fractions.
LCM of 468,9144 is 118872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4722,1651
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4722
List of positive integer factors of 4722 that divides 4722 without a remainder.
1,2,3,6,787,1574,2361,4722
Factors of 1651
List of positive integer factors of 1651 that divides 1651 without a remainder.
1,13,127,1651
Greatest Common Factor
We found the factors 4722,1651 . The biggest common factor number is the GCF number.
So the greatest common factor 4722,1651 is 1.
Lets's calculate LCM of 468,9144
2 | 468, 9144 |
2 | 234, 4572 |
3 | 117, 2286 |
3 | 39, 762 |
13, 254 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 254 = 118872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118872
Therefore, the GCF of Fractions 4722/468,1651/9144 is 1/118872
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 468,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,9144) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(468,9144) x common factors =36 x 1 = 36
LCM(468,9144) = ( 468 × 9144 ) / 36
LCM(468,9144) = 4279392 / 36
LCM(468,9144) = 118872
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 4722/468, 1651/9144?
Answer: GCF of Numerators as per given numbers 4722/468, 1651/9144 is
GCF of Numerators i.e. for 4722,1651 is 1
LCM of denominators i.e. for 468,9144 is 118872.
Thus, GCF of Fractions is 1/118872.Finally, GCF of Fractions for 4722/468, 1651/9144 is 1/118872.