Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 403/59,159/7900
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 403,159
Greatest Common Factor of Numerators i.e. GCF of 403,159 is 1 .
LCM of Denominators means LCM of 59,7900 as per the given fractions.
LCM of 59,7900 is 466100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 403,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 403,159 . The biggest common factor number is the GCF number.
So the greatest common factor 403,159 is 1.
Lets's calculate LCM of 59,7900
Given numbers has no common factors except 1. So, there LCM is their product i.e 466100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466100
Therefore, the GCF of Fractions 403/59,159/7900 is 1/466100
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 59,7900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,7900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,7900) x common factors =1 x 1 = 1
LCM(59,7900) = ( 59 × 7900 ) / 1
LCM(59,7900) = 466100 / 1
LCM(59,7900) = 466100
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 403/59, 159/7900?
Answer: GCF of Numerators as per given numbers 403/59, 159/7900 is
GCF of Numerators i.e. for 403,159 is 1
LCM of denominators i.e. for 59,7900 is 466100.
Thus, GCF of Fractions is 1/466100.Finally, GCF of Fractions for 403/59, 159/7900 is 1/466100.