Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2574/93,2547/621
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 2574,2547
Greatest Common Factor of Numerators i.e. GCF of 2574,2547 is 9 .
LCM of Denominators means LCM of 93,621 as per the given fractions.
LCM of 93,621 is 19251 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2574,2547
3 | 2574, 2547 |
3 | 858, 849 |
286, 283 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 2574
List of positive integer factors of 2574 that divides 2574 without a remainder.
1,2,3,6,9,11,13,18,22,26,33,39,66,78,99,117,143,198,234,286,429,858,1287,2574
Factors of 2547
List of positive integer factors of 2547 that divides 2547 without a remainder.
1,3,9,283,849,2547
Greatest Common Factor
We found the factors 2574,2547 . The biggest common factor number is the GCF number.
So the greatest common factor 2574,2547 is 9.
Lets's calculate LCM of 93,621
3 | 93, 621 |
31, 207 |
∴ So the LCM of the given numbers is 3 x 31 x 207 = 19251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/19251
Therefore, the GCF of Fractions 2574/93,2547/621 is 9/19251
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 93,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,621) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,621) x common factors =3 x 1 = 3
LCM(93,621) = ( 93 × 621 ) / 3
LCM(93,621) = 57753 / 3
LCM(93,621) = 19251
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 2574/93, 2547/621?
Answer: GCF of Numerators as per given numbers 2574/93, 2547/621 is
GCF of Numerators i.e. for 2574,2547 is 9
LCM of denominators i.e. for 93,621 is 19251.
Thus, GCF of Fractions is 9/19251.Finally, GCF of Fractions for 2574/93, 2547/621 is 9/19251.