Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/297,46/812,663/684
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 52,46,663
Greatest Common Factor of Numerators i.e. GCF of 52,46,663 is 1 .
LCM of Denominators means LCM of 297,812,684 as per the given fractions.
LCM of 297,812,684 is 4582116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,46,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 52,46,663 . The biggest common factor number is the GCF number.
So the greatest common factor 52,46,663 is 1.
Lets's calculate LCM of 297,812,684
2 | 297, 812, 684 |
2 | 297, 406, 342 |
3 | 297, 203, 171 |
3 | 99, 203, 57 |
33, 203, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 33 x 203 x 19 = 4582116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4582116
Therefore, the GCF of Fractions 52/297,46/812,663/684 is 1/4582116
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 297,812,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,812,684) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(297,812,684) x common factors =1 x 36 = 36
LCM(297,812,684) = ( 297 × 812 × 684 ) / 36
LCM(297,812,684) = 164956176 / 36
LCM(297,812,684) = 4582116
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 52/297, 46/812, 663/684?
Answer: GCF of Numerators as per given numbers 52/297, 46/812, 663/684 is
GCF of Numerators i.e. for 52,46,663 is 1
LCM of denominators i.e. for 297,812,684 is 4582116.
Thus, GCF of Fractions is 1/4582116.Finally, GCF of Fractions for 52/297, 46/812, 663/684 is 1/4582116.