Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7477/561,5921/9930
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 7477,5921
Greatest Common Factor of Numerators i.e. GCF of 7477,5921 is 1 .
LCM of Denominators means LCM of 561,9930 as per the given fractions.
LCM of 561,9930 is 1856910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7477,5921
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7477
List of positive integer factors of 7477 that divides 7477 without a remainder.
1,7477
Factors of 5921
List of positive integer factors of 5921 that divides 5921 without a remainder.
1,31,191,5921
Greatest Common Factor
We found the factors 7477,5921 . The biggest common factor number is the GCF number.
So the greatest common factor 7477,5921 is 1.
Lets's calculate LCM of 561,9930
3 | 561, 9930 |
187, 3310 |
∴ So the LCM of the given numbers is 3 x 187 x 3310 = 1856910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1856910
Therefore, the GCF of Fractions 7477/561,5921/9930 is 1/1856910
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 561,9930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,9930) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,9930) x common factors =3 x 1 = 3
LCM(561,9930) = ( 561 × 9930 ) / 3
LCM(561,9930) = 5570730 / 3
LCM(561,9930) = 1856910
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 7477/561, 5921/9930?
Answer: GCF of Numerators as per given numbers 7477/561, 5921/9930 is
GCF of Numerators i.e. for 7477,5921 is 1
LCM of denominators i.e. for 561,9930 is 1856910.
Thus, GCF of Fractions is 1/1856910.Finally, GCF of Fractions for 7477/561, 5921/9930 is 1/1856910.