Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2441/616,4738/3410
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 2441,4738
Greatest Common Factor of Numerators i.e. GCF of 2441,4738 is 1 .
LCM of Denominators means LCM of 616,3410 as per the given fractions.
LCM of 616,3410 is 95480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2441,4738
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2441
List of positive integer factors of 2441 that divides 2441 without a remainder.
1,2441
Factors of 4738
List of positive integer factors of 4738 that divides 4738 without a remainder.
1,2,23,46,103,206,2369,4738
Greatest Common Factor
We found the factors 2441,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 2441,4738 is 1.
Lets's calculate LCM of 616,3410
2 | 616, 3410 |
11 | 308, 1705 |
28, 155 |
∴ So the LCM of the given numbers is 2 x 11 x 28 x 155 = 95480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95480
Therefore, the GCF of Fractions 2441/616,4738/3410 is 1/95480
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 616,3410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,3410) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(616,3410) x common factors =22 x 1 = 22
LCM(616,3410) = ( 616 × 3410 ) / 22
LCM(616,3410) = 2100560 / 22
LCM(616,3410) = 95480
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 2441/616, 4738/3410?
Answer: GCF of Numerators as per given numbers 2441/616, 4738/3410 is
GCF of Numerators i.e. for 2441,4738 is 1
LCM of denominators i.e. for 616,3410 is 95480.
Thus, GCF of Fractions is 1/95480.Finally, GCF of Fractions for 2441/616, 4738/3410 is 1/95480.