Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9744/679,5232/406
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 9744,5232
Greatest Common Factor of Numerators i.e. GCF of 9744,5232 is 48 .
LCM of Denominators means LCM of 679,406 as per the given fractions.
LCM of 679,406 is 39382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9744,5232
2 | 9744, 5232 |
2 | 4872, 2616 |
2 | 2436, 1308 |
2 | 1218, 654 |
3 | 609, 327 |
203, 109 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Factors of 9744
List of positive integer factors of 9744 that divides 9744 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744
Factors of 5232
List of positive integer factors of 5232 that divides 5232 without a remainder.
1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
Greatest Common Factor
We found the factors 9744,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 9744,5232 is 48.
Lets's calculate LCM of 679,406
7 | 679, 406 |
97, 58 |
∴ So the LCM of the given numbers is 7 x 97 x 58 = 39382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/39382
Therefore, the GCF of Fractions 9744/679,5232/406 is 48/39382
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 679,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,406) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(679,406) x common factors =7 x 1 = 7
LCM(679,406) = ( 679 × 406 ) / 7
LCM(679,406) = 275674 / 7
LCM(679,406) = 39382
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 9744/679, 5232/406?
Answer: GCF of Numerators as per given numbers 9744/679, 5232/406 is
GCF of Numerators i.e. for 9744,5232 is 48
LCM of denominators i.e. for 679,406 is 39382.
Thus, GCF of Fractions is 48/39382.Finally, GCF of Fractions for 9744/679, 5232/406 is 48/39382.