Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2490/601,7596/130
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 2490,7596
Greatest Common Factor of Numerators i.e. GCF of 2490,7596 is 6 .
LCM of Denominators means LCM of 601,130 as per the given fractions.
LCM of 601,130 is 78130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2490,7596
2 | 2490, 7596 |
3 | 1245, 3798 |
415, 1266 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 2490
List of positive integer factors of 2490 that divides 2490 without a remainder.
1,2,3,5,6,10,15,30,83,166,249,415,498,830,1245,2490
Factors of 7596
List of positive integer factors of 7596 that divides 7596 without a remainder.
1,2,3,4,6,9,12,18,36,211,422,633,844,1266,1899,2532,3798,7596
Greatest Common Factor
We found the factors 2490,7596 . The biggest common factor number is the GCF number.
So the greatest common factor 2490,7596 is 6.
Lets's calculate LCM of 601,130
Given numbers has no common factors except 1. So, there LCM is their product i.e 78130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/78130
Therefore, the GCF of Fractions 2490/601,7596/130 is 6/78130
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 601,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,130) x common factors =1 x 1 = 1
LCM(601,130) = ( 601 × 130 ) / 1
LCM(601,130) = 78130 / 1
LCM(601,130) = 78130
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 2490/601, 7596/130?
Answer: GCF of Numerators as per given numbers 2490/601, 7596/130 is
GCF of Numerators i.e. for 2490,7596 is 6
LCM of denominators i.e. for 601,130 is 78130.
Thus, GCF of Fractions is 6/78130.Finally, GCF of Fractions for 2490/601, 7596/130 is 6/78130.