Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 736/13,4768/857
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 736,4768
Greatest Common Factor of Numerators i.e. GCF of 736,4768 is 32 .
LCM of Denominators means LCM of 13,857 as per the given fractions.
LCM of 13,857 is 11141 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 736,4768
2 | 736, 4768 |
2 | 368, 2384 |
2 | 184, 1192 |
2 | 92, 596 |
2 | 46, 298 |
23, 149 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 4768
List of positive integer factors of 4768 that divides 4768 without a remainder.
1,2,4,8,16,32,149,298,596,1192,2384,4768
Greatest Common Factor
We found the factors 736,4768 . The biggest common factor number is the GCF number.
So the greatest common factor 736,4768 is 32.
Lets's calculate LCM of 13,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 11141
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/11141
Therefore, the GCF of Fractions 736/13,4768/857 is 32/11141
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 13,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,857) x common factors =1 x 1 = 1
LCM(13,857) = ( 13 × 857 ) / 1
LCM(13,857) = 11141 / 1
LCM(13,857) = 11141
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 736/13, 4768/857?
Answer: GCF of Numerators as per given numbers 736/13, 4768/857 is
GCF of Numerators i.e. for 736,4768 is 32
LCM of denominators i.e. for 13,857 is 11141.
Thus, GCF of Fractions is 32/11141.Finally, GCF of Fractions for 736/13, 4768/857 is 32/11141.