Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 649/515,1748/507
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 649,1748
Greatest Common Factor of Numerators i.e. GCF of 649,1748 is 1 .
LCM of Denominators means LCM of 515,507 as per the given fractions.
LCM of 515,507 is 261105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 649,1748
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 1748
List of positive integer factors of 1748 that divides 1748 without a remainder.
1,2,4,19,23,38,46,76,92,437,874,1748
Greatest Common Factor
We found the factors 649,1748 . The biggest common factor number is the GCF number.
So the greatest common factor 649,1748 is 1.
Lets's calculate LCM of 515,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 261105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261105
Therefore, the GCF of Fractions 649/515,1748/507 is 1/261105
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 515,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,507) x common factors =1 x 1 = 1
LCM(515,507) = ( 515 × 507 ) / 1
LCM(515,507) = 261105 / 1
LCM(515,507) = 261105
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 649/515, 1748/507?
Answer: GCF of Numerators as per given numbers 649/515, 1748/507 is
GCF of Numerators i.e. for 649,1748 is 1
LCM of denominators i.e. for 515,507 is 261105.
Thus, GCF of Fractions is 1/261105.Finally, GCF of Fractions for 649/515, 1748/507 is 1/261105.