Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1240/75,7399/984
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 1240,7399
Greatest Common Factor of Numerators i.e. GCF of 1240,7399 is 1 .
LCM of Denominators means LCM of 75,984 as per the given fractions.
LCM of 75,984 is 24600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1240,7399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1240
List of positive integer factors of 1240 that divides 1240 without a remainder.
1,2,4,5,8,10,20,31,40,62,124,155,248,310,620,1240
Factors of 7399
List of positive integer factors of 7399 that divides 7399 without a remainder.
1,7,49,151,1057,7399
Greatest Common Factor
We found the factors 1240,7399 . The biggest common factor number is the GCF number.
So the greatest common factor 1240,7399 is 1.
Lets's calculate LCM of 75,984
3 | 75, 984 |
25, 328 |
∴ So the LCM of the given numbers is 3 x 25 x 328 = 24600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24600
Therefore, the GCF of Fractions 1240/75,7399/984 is 1/24600
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 75,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,984) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,984) x common factors =3 x 1 = 3
LCM(75,984) = ( 75 × 984 ) / 3
LCM(75,984) = 73800 / 3
LCM(75,984) = 24600
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 1240/75, 7399/984?
Answer: GCF of Numerators as per given numbers 1240/75, 7399/984 is
GCF of Numerators i.e. for 1240,7399 is 1
LCM of denominators i.e. for 75,984 is 24600.
Thus, GCF of Fractions is 1/24600.Finally, GCF of Fractions for 1240/75, 7399/984 is 1/24600.