Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7402/413,3231/6410
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 7402,3231
Greatest Common Factor of Numerators i.e. GCF of 7402,3231 is 1 .
LCM of Denominators means LCM of 413,6410 as per the given fractions.
LCM of 413,6410 is 2647330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7402,3231
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7402
List of positive integer factors of 7402 that divides 7402 without a remainder.
1,2,3701,7402
Factors of 3231
List of positive integer factors of 3231 that divides 3231 without a remainder.
1,3,9,359,1077,3231
Greatest Common Factor
We found the factors 7402,3231 . The biggest common factor number is the GCF number.
So the greatest common factor 7402,3231 is 1.
Lets's calculate LCM of 413,6410
Given numbers has no common factors except 1. So, there LCM is their product i.e 2647330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2647330
Therefore, the GCF of Fractions 7402/413,3231/6410 is 1/2647330
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 413,6410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,6410) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,6410) x common factors =1 x 1 = 1
LCM(413,6410) = ( 413 × 6410 ) / 1
LCM(413,6410) = 2647330 / 1
LCM(413,6410) = 2647330
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 7402/413, 3231/6410?
Answer: GCF of Numerators as per given numbers 7402/413, 3231/6410 is
GCF of Numerators i.e. for 7402,3231 is 1
LCM of denominators i.e. for 413,6410 is 2647330.
Thus, GCF of Fractions is 1/2647330.Finally, GCF of Fractions for 7402/413, 3231/6410 is 1/2647330.