Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2420/123,7625/666
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 2420,7625
Greatest Common Factor of Numerators i.e. GCF of 2420,7625 is 5 .
LCM of Denominators means LCM of 123,666 as per the given fractions.
LCM of 123,666 is 27306 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2420,7625
5 | 2420, 7625 |
484, 1525 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2420
List of positive integer factors of 2420 that divides 2420 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420
Factors of 7625
List of positive integer factors of 7625 that divides 7625 without a remainder.
1,5,25,61,125,305,1525,7625
Greatest Common Factor
We found the factors 2420,7625 . The biggest common factor number is the GCF number.
So the greatest common factor 2420,7625 is 5.
Lets's calculate LCM of 123,666
3 | 123, 666 |
41, 222 |
∴ So the LCM of the given numbers is 3 x 41 x 222 = 27306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/27306
Therefore, the GCF of Fractions 2420/123,7625/666 is 5/27306
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 123,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,666) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,666) x common factors =3 x 1 = 3
LCM(123,666) = ( 123 × 666 ) / 3
LCM(123,666) = 81918 / 3
LCM(123,666) = 27306
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 2420/123, 7625/666?
Answer: GCF of Numerators as per given numbers 2420/123, 7625/666 is
GCF of Numerators i.e. for 2420,7625 is 5
LCM of denominators i.e. for 123,666 is 27306.
Thus, GCF of Fractions is 5/27306.Finally, GCF of Fractions for 2420/123, 7625/666 is 5/27306.