Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/730,3538/6130
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 46,3538
Greatest Common Factor of Numerators i.e. GCF of 46,3538 is 2 .
LCM of Denominators means LCM of 730,6130 as per the given fractions.
LCM of 730,6130 is 447490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,3538
2 | 46, 3538 |
23, 1769 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 3538
List of positive integer factors of 3538 that divides 3538 without a remainder.
1,2,29,58,61,122,1769,3538
Greatest Common Factor
We found the factors 46,3538 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3538 is 2.
Lets's calculate LCM of 730,6130
2 | 730, 6130 |
5 | 365, 3065 |
73, 613 |
∴ So the LCM of the given numbers is 2 x 5 x 73 x 613 = 447490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/447490
Therefore, the GCF of Fractions 46/730,3538/6130 is 2/447490
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 730,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,6130) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(730,6130) x common factors =10 x 1 = 10
LCM(730,6130) = ( 730 × 6130 ) / 10
LCM(730,6130) = 4474900 / 10
LCM(730,6130) = 447490
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 46/730, 3538/6130?
Answer: GCF of Numerators as per given numbers 46/730, 3538/6130 is
GCF of Numerators i.e. for 46,3538 is 2
LCM of denominators i.e. for 730,6130 is 447490.
Thus, GCF of Fractions is 2/447490.Finally, GCF of Fractions for 46/730, 3538/6130 is 2/447490.