Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 695/82,463/292
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 695,463
Greatest Common Factor of Numerators i.e. GCF of 695,463 is 1 .
LCM of Denominators means LCM of 82,292 as per the given fractions.
LCM of 82,292 is 11972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 695,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 695,463 . The biggest common factor number is the GCF number.
So the greatest common factor 695,463 is 1.
Lets's calculate LCM of 82,292
2 | 82, 292 |
41, 146 |
∴ So the LCM of the given numbers is 2 x 41 x 146 = 11972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11972
Therefore, the GCF of Fractions 695/82,463/292 is 1/11972
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 82,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,292) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,292) x common factors =2 x 1 = 2
LCM(82,292) = ( 82 × 292 ) / 2
LCM(82,292) = 23944 / 2
LCM(82,292) = 11972
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 695/82, 463/292?
Answer: GCF of Numerators as per given numbers 695/82, 463/292 is
GCF of Numerators i.e. for 695,463 is 1
LCM of denominators i.e. for 82,292 is 11972.
Thus, GCF of Fractions is 1/11972.Finally, GCF of Fractions for 695/82, 463/292 is 1/11972.