Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3035/242,1872/8053
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 3035,1872
Greatest Common Factor of Numerators i.e. GCF of 3035,1872 is 1 .
LCM of Denominators means LCM of 242,8053 as per the given fractions.
LCM of 242,8053 is 1948826 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3035,1872
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3035
List of positive integer factors of 3035 that divides 3035 without a remainder.
1,5,607,3035
Factors of 1872
List of positive integer factors of 1872 that divides 1872 without a remainder.
1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872
Greatest Common Factor
We found the factors 3035,1872 . The biggest common factor number is the GCF number.
So the greatest common factor 3035,1872 is 1.
Lets's calculate LCM of 242,8053
Given numbers has no common factors except 1. So, there LCM is their product i.e 1948826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1948826
Therefore, the GCF of Fractions 3035/242,1872/8053 is 1/1948826
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 242,8053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,8053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,8053) x common factors =1 x 1 = 1
LCM(242,8053) = ( 242 × 8053 ) / 1
LCM(242,8053) = 1948826 / 1
LCM(242,8053) = 1948826
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 3035/242, 1872/8053?
Answer: GCF of Numerators as per given numbers 3035/242, 1872/8053 is
GCF of Numerators i.e. for 3035,1872 is 1
LCM of denominators i.e. for 242,8053 is 1948826.
Thus, GCF of Fractions is 1/1948826.Finally, GCF of Fractions for 3035/242, 1872/8053 is 1/1948826.