Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7880/32,3541/737
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 7880,3541
Greatest Common Factor of Numerators i.e. GCF of 7880,3541 is 1 .
LCM of Denominators means LCM of 32,737 as per the given fractions.
LCM of 32,737 is 23584 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7880,3541
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7880
List of positive integer factors of 7880 that divides 7880 without a remainder.
1,2,4,5,8,10,20,40,197,394,788,985,1576,1970,3940,7880
Factors of 3541
List of positive integer factors of 3541 that divides 3541 without a remainder.
1,3541
Greatest Common Factor
We found the factors 7880,3541 . The biggest common factor number is the GCF number.
So the greatest common factor 7880,3541 is 1.
Lets's calculate LCM of 32,737
Given numbers has no common factors except 1. So, there LCM is their product i.e 23584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23584
Therefore, the GCF of Fractions 7880/32,3541/737 is 1/23584
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 32,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,737) x common factors =1 x 1 = 1
LCM(32,737) = ( 32 × 737 ) / 1
LCM(32,737) = 23584 / 1
LCM(32,737) = 23584
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 7880/32, 3541/737?
Answer: GCF of Numerators as per given numbers 7880/32, 3541/737 is
GCF of Numerators i.e. for 7880,3541 is 1
LCM of denominators i.e. for 32,737 is 23584.
Thus, GCF of Fractions is 1/23584.Finally, GCF of Fractions for 7880/32, 3541/737 is 1/23584.