Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3856/747,6943/2090
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 3856,6943
Greatest Common Factor of Numerators i.e. GCF of 3856,6943 is 1 .
LCM of Denominators means LCM of 747,2090 as per the given fractions.
LCM of 747,2090 is 1561230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3856,6943
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3856
List of positive integer factors of 3856 that divides 3856 without a remainder.
1,2,4,8,16,241,482,964,1928,3856
Factors of 6943
List of positive integer factors of 6943 that divides 6943 without a remainder.
1,53,131,6943
Greatest Common Factor
We found the factors 3856,6943 . The biggest common factor number is the GCF number.
So the greatest common factor 3856,6943 is 1.
Lets's calculate LCM of 747,2090
Given numbers has no common factors except 1. So, there LCM is their product i.e 1561230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1561230
Therefore, the GCF of Fractions 3856/747,6943/2090 is 1/1561230
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 747,2090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,2090) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,2090) x common factors =1 x 1 = 1
LCM(747,2090) = ( 747 × 2090 ) / 1
LCM(747,2090) = 1561230 / 1
LCM(747,2090) = 1561230
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 3856/747, 6943/2090?
Answer: GCF of Numerators as per given numbers 3856/747, 6943/2090 is
GCF of Numerators i.e. for 3856,6943 is 1
LCM of denominators i.e. for 747,2090 is 1561230.
Thus, GCF of Fractions is 1/1561230.Finally, GCF of Fractions for 3856/747, 6943/2090 is 1/1561230.