Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5834/73,2356/781
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 5834,2356
Greatest Common Factor of Numerators i.e. GCF of 5834,2356 is 2 .
LCM of Denominators means LCM of 73,781 as per the given fractions.
LCM of 73,781 is 57013 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5834,2356
2 | 5834, 2356 |
2917, 1178 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5834
List of positive integer factors of 5834 that divides 5834 without a remainder.
1,2,2917,5834
Factors of 2356
List of positive integer factors of 2356 that divides 2356 without a remainder.
1,2,4,19,31,38,62,76,124,589,1178,2356
Greatest Common Factor
We found the factors 5834,2356 . The biggest common factor number is the GCF number.
So the greatest common factor 5834,2356 is 2.
Lets's calculate LCM of 73,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 57013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57013
Therefore, the GCF of Fractions 5834/73,2356/781 is 2/57013
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 73,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,781) x common factors =1 x 1 = 1
LCM(73,781) = ( 73 × 781 ) / 1
LCM(73,781) = 57013 / 1
LCM(73,781) = 57013
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 5834/73, 2356/781?
Answer: GCF of Numerators as per given numbers 5834/73, 2356/781 is
GCF of Numerators i.e. for 5834,2356 is 2
LCM of denominators i.e. for 73,781 is 57013.
Thus, GCF of Fractions is 2/57013.Finally, GCF of Fractions for 5834/73, 2356/781 is 2/57013.