Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2911/62,7107/648
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 2911,7107
Greatest Common Factor of Numerators i.e. GCF of 2911,7107 is 1 .
LCM of Denominators means LCM of 62,648 as per the given fractions.
LCM of 62,648 is 20088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2911,7107
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2911
List of positive integer factors of 2911 that divides 2911 without a remainder.
1,41,71,2911
Factors of 7107
List of positive integer factors of 7107 that divides 7107 without a remainder.
1,3,23,69,103,309,2369,7107
Greatest Common Factor
We found the factors 2911,7107 . The biggest common factor number is the GCF number.
So the greatest common factor 2911,7107 is 1.
Lets's calculate LCM of 62,648
2 | 62, 648 |
31, 324 |
∴ So the LCM of the given numbers is 2 x 31 x 324 = 20088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20088
Therefore, the GCF of Fractions 2911/62,7107/648 is 1/20088
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 62,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,648) x common factors =2 x 1 = 2
LCM(62,648) = ( 62 × 648 ) / 2
LCM(62,648) = 40176 / 2
LCM(62,648) = 20088
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 2911/62, 7107/648?
Answer: GCF of Numerators as per given numbers 2911/62, 7107/648 is
GCF of Numerators i.e. for 2911,7107 is 1
LCM of denominators i.e. for 62,648 is 20088.
Thus, GCF of Fractions is 1/20088.Finally, GCF of Fractions for 2911/62, 7107/648 is 1/20088.