Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 768/32,796/414
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 768,796
Greatest Common Factor of Numerators i.e. GCF of 768,796 is 4 .
LCM of Denominators means LCM of 32,414 as per the given fractions.
LCM of 32,414 is 6624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 768,796
2 | 768, 796 |
2 | 384, 398 |
192, 199 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 768,796 . The biggest common factor number is the GCF number.
So the greatest common factor 768,796 is 4.
Lets's calculate LCM of 32,414
2 | 32, 414 |
16, 207 |
∴ So the LCM of the given numbers is 2 x 16 x 207 = 6624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6624
Therefore, the GCF of Fractions 768/32,796/414 is 4/6624
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 32,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,414) x common factors =2 x 1 = 2
LCM(32,414) = ( 32 × 414 ) / 2
LCM(32,414) = 13248 / 2
LCM(32,414) = 6624
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 768/32, 796/414?
Answer: GCF of Numerators as per given numbers 768/32, 796/414 is
GCF of Numerators i.e. for 768,796 is 4
LCM of denominators i.e. for 32,414 is 6624.
Thus, GCF of Fractions is 4/6624.Finally, GCF of Fractions for 768/32, 796/414 is 4/6624.