Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 432/83,432/21,297/827
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 432,432,297
Greatest Common Factor of Numerators i.e. GCF of 432,432,297 is 27 .
LCM of Denominators means LCM of 83,21,827 as per the given fractions.
LCM of 83,21,827 is 1441461 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 432,432,297
3 | 432, 432, 297 |
3 | 144, 144, 99 |
3 | 48, 48, 33 |
16, 16, 11 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 432,432,297 . The biggest common factor number is the GCF number.
So the greatest common factor 432,432,297 is 27.
Lets's calculate LCM of 83,21,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 1441461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1441461
Therefore, the GCF of Fractions 432/83,432/21,297/827 is 27/1441461
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 83,21,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,21,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,21,827) x common factors =1 x 1 = 1
LCM(83,21,827) = ( 83 × 21 × 827 ) / 1
LCM(83,21,827) = 1441461 / 1
LCM(83,21,827) = 1441461
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 432/83, 432/21, 297/827?
Answer: GCF of Numerators as per given numbers 432/83, 432/21, 297/827 is
GCF of Numerators i.e. for 432,432,297 is 27
LCM of denominators i.e. for 83,21,827 is 1441461.
Thus, GCF of Fractions is 27/1441461.Finally, GCF of Fractions for 432/83, 432/21, 297/827 is 27/1441461.