Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7897/78,3511/163
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 7897,3511
Greatest Common Factor of Numerators i.e. GCF of 7897,3511 is 1 .
LCM of Denominators means LCM of 78,163 as per the given fractions.
LCM of 78,163 is 12714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7897,3511
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7897
List of positive integer factors of 7897 that divides 7897 without a remainder.
1,53,149,7897
Factors of 3511
List of positive integer factors of 3511 that divides 3511 without a remainder.
1,3511
Greatest Common Factor
We found the factors 7897,3511 . The biggest common factor number is the GCF number.
So the greatest common factor 7897,3511 is 1.
Lets's calculate LCM of 78,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 12714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12714
Therefore, the GCF of Fractions 7897/78,3511/163 is 1/12714
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 78,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,163) x common factors =1 x 1 = 1
LCM(78,163) = ( 78 × 163 ) / 1
LCM(78,163) = 12714 / 1
LCM(78,163) = 12714
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 7897/78, 3511/163?
Answer: GCF of Numerators as per given numbers 7897/78, 3511/163 is
GCF of Numerators i.e. for 7897,3511 is 1
LCM of denominators i.e. for 78,163 is 12714.
Thus, GCF of Fractions is 1/12714.Finally, GCF of Fractions for 7897/78, 3511/163 is 1/12714.