Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2070/515,6403/726
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 2070,6403
Greatest Common Factor of Numerators i.e. GCF of 2070,6403 is 1 .
LCM of Denominators means LCM of 515,726 as per the given fractions.
LCM of 515,726 is 373890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2070,6403
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2070
List of positive integer factors of 2070 that divides 2070 without a remainder.
1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Factors of 6403
List of positive integer factors of 6403 that divides 6403 without a remainder.
1,19,337,6403
Greatest Common Factor
We found the factors 2070,6403 . The biggest common factor number is the GCF number.
So the greatest common factor 2070,6403 is 1.
Lets's calculate LCM of 515,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 373890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373890
Therefore, the GCF of Fractions 2070/515,6403/726 is 1/373890
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 515,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,726) x common factors =1 x 1 = 1
LCM(515,726) = ( 515 × 726 ) / 1
LCM(515,726) = 373890 / 1
LCM(515,726) = 373890
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 2070/515, 6403/726?
Answer: GCF of Numerators as per given numbers 2070/515, 6403/726 is
GCF of Numerators i.e. for 2070,6403 is 1
LCM of denominators i.e. for 515,726 is 373890.
Thus, GCF of Fractions is 1/373890.Finally, GCF of Fractions for 2070/515, 6403/726 is 1/373890.