Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6057/75,2626/931
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 6057,2626
Greatest Common Factor of Numerators i.e. GCF of 6057,2626 is 1 .
LCM of Denominators means LCM of 75,931 as per the given fractions.
LCM of 75,931 is 69825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6057,2626
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6057
List of positive integer factors of 6057 that divides 6057 without a remainder.
1,3,9,673,2019,6057
Factors of 2626
List of positive integer factors of 2626 that divides 2626 without a remainder.
1,2,13,26,101,202,1313,2626
Greatest Common Factor
We found the factors 6057,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 6057,2626 is 1.
Lets's calculate LCM of 75,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 69825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69825
Therefore, the GCF of Fractions 6057/75,2626/931 is 1/69825
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 75,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,931) x common factors =1 x 1 = 1
LCM(75,931) = ( 75 × 931 ) / 1
LCM(75,931) = 69825 / 1
LCM(75,931) = 69825
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 6057/75, 2626/931?
Answer: GCF of Numerators as per given numbers 6057/75, 2626/931 is
GCF of Numerators i.e. for 6057,2626 is 1
LCM of denominators i.e. for 75,931 is 69825.
Thus, GCF of Fractions is 1/69825.Finally, GCF of Fractions for 6057/75, 2626/931 is 1/69825.