Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1475/181,1907/674
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 1475,1907
Greatest Common Factor of Numerators i.e. GCF of 1475,1907 is 1 .
LCM of Denominators means LCM of 181,674 as per the given fractions.
LCM of 181,674 is 121994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1475,1907
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1475
List of positive integer factors of 1475 that divides 1475 without a remainder.
1,5,25,59,295,1475
Factors of 1907
List of positive integer factors of 1907 that divides 1907 without a remainder.
1,1907
Greatest Common Factor
We found the factors 1475,1907 . The biggest common factor number is the GCF number.
So the greatest common factor 1475,1907 is 1.
Lets's calculate LCM of 181,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 121994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121994
Therefore, the GCF of Fractions 1475/181,1907/674 is 1/121994
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 181,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,674) x common factors =1 x 1 = 1
LCM(181,674) = ( 181 × 674 ) / 1
LCM(181,674) = 121994 / 1
LCM(181,674) = 121994
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 1475/181, 1907/674?
Answer: GCF of Numerators as per given numbers 1475/181, 1907/674 is
GCF of Numerators i.e. for 1475,1907 is 1
LCM of denominators i.e. for 181,674 is 121994.
Thus, GCF of Fractions is 1/121994.Finally, GCF of Fractions for 1475/181, 1907/674 is 1/121994.