Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1904/370,7071/5057
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 1904,7071
Greatest Common Factor of Numerators i.e. GCF of 1904,7071 is 1 .
LCM of Denominators means LCM of 370,5057 as per the given fractions.
LCM of 370,5057 is 1871090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1904,7071
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1904
List of positive integer factors of 1904 that divides 1904 without a remainder.
1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904
Factors of 7071
List of positive integer factors of 7071 that divides 7071 without a remainder.
1,3,2357,7071
Greatest Common Factor
We found the factors 1904,7071 . The biggest common factor number is the GCF number.
So the greatest common factor 1904,7071 is 1.
Lets's calculate LCM of 370,5057
Given numbers has no common factors except 1. So, there LCM is their product i.e 1871090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1871090
Therefore, the GCF of Fractions 1904/370,7071/5057 is 1/1871090
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 370,5057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,5057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,5057) x common factors =1 x 1 = 1
LCM(370,5057) = ( 370 × 5057 ) / 1
LCM(370,5057) = 1871090 / 1
LCM(370,5057) = 1871090
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 1904/370, 7071/5057?
Answer: GCF of Numerators as per given numbers 1904/370, 7071/5057 is
GCF of Numerators i.e. for 1904,7071 is 1
LCM of denominators i.e. for 370,5057 is 1871090.
Thus, GCF of Fractions is 1/1871090.Finally, GCF of Fractions for 1904/370, 7071/5057 is 1/1871090.