Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7745/74,2408/963
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 7745,2408
Greatest Common Factor of Numerators i.e. GCF of 7745,2408 is 1 .
LCM of Denominators means LCM of 74,963 as per the given fractions.
LCM of 74,963 is 71262 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7745,2408
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7745
List of positive integer factors of 7745 that divides 7745 without a remainder.
1,5,1549,7745
Factors of 2408
List of positive integer factors of 2408 that divides 2408 without a remainder.
1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408
Greatest Common Factor
We found the factors 7745,2408 . The biggest common factor number is the GCF number.
So the greatest common factor 7745,2408 is 1.
Lets's calculate LCM of 74,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 71262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71262
Therefore, the GCF of Fractions 7745/74,2408/963 is 1/71262
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 74,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,963) x common factors =1 x 1 = 1
LCM(74,963) = ( 74 × 963 ) / 1
LCM(74,963) = 71262 / 1
LCM(74,963) = 71262
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 7745/74, 2408/963?
Answer: GCF of Numerators as per given numbers 7745/74, 2408/963 is
GCF of Numerators i.e. for 7745,2408 is 1
LCM of denominators i.e. for 74,963 is 71262.
Thus, GCF of Fractions is 1/71262.Finally, GCF of Fractions for 7745/74, 2408/963 is 1/71262.