Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 641/610,1164/724
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 641,1164
Greatest Common Factor of Numerators i.e. GCF of 641,1164 is 1 .
LCM of Denominators means LCM of 610,724 as per the given fractions.
LCM of 610,724 is 220820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 641,1164
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 1164
List of positive integer factors of 1164 that divides 1164 without a remainder.
1,2,3,4,6,12,97,194,291,388,582,1164
Greatest Common Factor
We found the factors 641,1164 . The biggest common factor number is the GCF number.
So the greatest common factor 641,1164 is 1.
Lets's calculate LCM of 610,724
2 | 610, 724 |
305, 362 |
∴ So the LCM of the given numbers is 2 x 305 x 362 = 220820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220820
Therefore, the GCF of Fractions 641/610,1164/724 is 1/220820
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 610,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,724) x common factors =2 x 1 = 2
LCM(610,724) = ( 610 × 724 ) / 2
LCM(610,724) = 441640 / 2
LCM(610,724) = 220820
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 641/610, 1164/724?
Answer: GCF of Numerators as per given numbers 641/610, 1164/724 is
GCF of Numerators i.e. for 641,1164 is 1
LCM of denominators i.e. for 610,724 is 220820.
Thus, GCF of Fractions is 1/220820.Finally, GCF of Fractions for 641/610, 1164/724 is 1/220820.