Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/425,6585/3547
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 62,6585
Greatest Common Factor of Numerators i.e. GCF of 62,6585 is 1 .
LCM of Denominators means LCM of 425,3547 as per the given fractions.
LCM of 425,3547 is 1507475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,6585
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 6585
List of positive integer factors of 6585 that divides 6585 without a remainder.
1,3,5,15,439,1317,2195,6585
Greatest Common Factor
We found the factors 62,6585 . The biggest common factor number is the GCF number.
So the greatest common factor 62,6585 is 1.
Lets's calculate LCM of 425,3547
Given numbers has no common factors except 1. So, there LCM is their product i.e 1507475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1507475
Therefore, the GCF of Fractions 62/425,6585/3547 is 1/1507475
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 425,3547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,3547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,3547) x common factors =1 x 1 = 1
LCM(425,3547) = ( 425 × 3547 ) / 1
LCM(425,3547) = 1507475 / 1
LCM(425,3547) = 1507475
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 62/425, 6585/3547?
Answer: GCF of Numerators as per given numbers 62/425, 6585/3547 is
GCF of Numerators i.e. for 62,6585 is 1
LCM of denominators i.e. for 425,3547 is 1507475.
Thus, GCF of Fractions is 1/1507475.Finally, GCF of Fractions for 62/425, 6585/3547 is 1/1507475.