Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3703/277,3635/392
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 3703,3635
Greatest Common Factor of Numerators i.e. GCF of 3703,3635 is 1 .
LCM of Denominators means LCM of 277,392 as per the given fractions.
LCM of 277,392 is 108584 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3703,3635
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3703
List of positive integer factors of 3703 that divides 3703 without a remainder.
1,7,23,161,529,3703
Factors of 3635
List of positive integer factors of 3635 that divides 3635 without a remainder.
1,5,727,3635
Greatest Common Factor
We found the factors 3703,3635 . The biggest common factor number is the GCF number.
So the greatest common factor 3703,3635 is 1.
Lets's calculate LCM of 277,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 108584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108584
Therefore, the GCF of Fractions 3703/277,3635/392 is 1/108584
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 277,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,392) x common factors =1 x 1 = 1
LCM(277,392) = ( 277 × 392 ) / 1
LCM(277,392) = 108584 / 1
LCM(277,392) = 108584
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 3703/277, 3635/392?
Answer: GCF of Numerators as per given numbers 3703/277, 3635/392 is
GCF of Numerators i.e. for 3703,3635 is 1
LCM of denominators i.e. for 277,392 is 108584.
Thus, GCF of Fractions is 1/108584.Finally, GCF of Fractions for 3703/277, 3635/392 is 1/108584.