Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3805/637,9611/7211
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 3805,9611
Greatest Common Factor of Numerators i.e. GCF of 3805,9611 is 1 .
LCM of Denominators means LCM of 637,7211 as per the given fractions.
LCM of 637,7211 is 4593407 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3805,9611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3805
List of positive integer factors of 3805 that divides 3805 without a remainder.
1,5,761,3805
Factors of 9611
List of positive integer factors of 9611 that divides 9611 without a remainder.
1,7,1373,9611
Greatest Common Factor
We found the factors 3805,9611 . The biggest common factor number is the GCF number.
So the greatest common factor 3805,9611 is 1.
Lets's calculate LCM of 637,7211
Given numbers has no common factors except 1. So, there LCM is their product i.e 4593407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4593407
Therefore, the GCF of Fractions 3805/637,9611/7211 is 1/4593407
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 637,7211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,7211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,7211) x common factors =1 x 1 = 1
LCM(637,7211) = ( 637 × 7211 ) / 1
LCM(637,7211) = 4593407 / 1
LCM(637,7211) = 4593407
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 3805/637, 9611/7211?
Answer: GCF of Numerators as per given numbers 3805/637, 9611/7211 is
GCF of Numerators i.e. for 3805,9611 is 1
LCM of denominators i.e. for 637,7211 is 4593407.
Thus, GCF of Fractions is 1/4593407.Finally, GCF of Fractions for 3805/637, 9611/7211 is 1/4593407.