Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/99,414/33,646/432
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 720,414,646
Greatest Common Factor of Numerators i.e. GCF of 720,414,646 is 2 .
LCM of Denominators means LCM of 99,33,432 as per the given fractions.
LCM of 99,33,432 is 4752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 720,414,646
2 | 720, 414, 646 |
360, 207, 323 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 720,414,646 . The biggest common factor number is the GCF number.
So the greatest common factor 720,414,646 is 2.
Lets's calculate LCM of 99,33,432
3 | 99, 33, 432 |
3 | 33, 11, 144 |
11 | 11, 11, 48 |
1, 1, 48 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 1 x 1 x 48 = 4752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4752
Therefore, the GCF of Fractions 720/99,414/33,646/432 is 2/4752
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 99,33,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,33,432) = 3
common factors(in case of two or more numbers have common factors) = 99
GCF(99,33,432) x common factors =3 x 99 = 297
LCM(99,33,432) = ( 99 × 33 × 432 ) / 297
LCM(99,33,432) = 1411344 / 297
LCM(99,33,432) = 4752
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 720/99, 414/33, 646/432?
Answer: GCF of Numerators as per given numbers 720/99, 414/33, 646/432 is
GCF of Numerators i.e. for 720,414,646 is 2
LCM of denominators i.e. for 99,33,432 is 4752.
Thus, GCF of Fractions is 2/4752.Finally, GCF of Fractions for 720/99, 414/33, 646/432 is 2/4752.