Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 101/921,1234/561
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 101,1234
Greatest Common Factor of Numerators i.e. GCF of 101,1234 is 1 .
LCM of Denominators means LCM of 921,561 as per the given fractions.
LCM of 921,561 is 172227 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 101,1234
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 1234
List of positive integer factors of 1234 that divides 1234 without a remainder.
1,2,617,1234
Greatest Common Factor
We found the factors 101,1234 . The biggest common factor number is the GCF number.
So the greatest common factor 101,1234 is 1.
Lets's calculate LCM of 921,561
3 | 921, 561 |
307, 187 |
∴ So the LCM of the given numbers is 3 x 307 x 187 = 172227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172227
Therefore, the GCF of Fractions 101/921,1234/561 is 1/172227
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 921,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,561) x common factors =3 x 1 = 3
LCM(921,561) = ( 921 × 561 ) / 3
LCM(921,561) = 516681 / 3
LCM(921,561) = 172227
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 101/921, 1234/561?
Answer: GCF of Numerators as per given numbers 101/921, 1234/561 is
GCF of Numerators i.e. for 101,1234 is 1
LCM of denominators i.e. for 921,561 is 172227.
Thus, GCF of Fractions is 1/172227.Finally, GCF of Fractions for 101/921, 1234/561 is 1/172227.