Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 981/883,4792/3824
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 981,4792
Greatest Common Factor of Numerators i.e. GCF of 981,4792 is 1 .
LCM of Denominators means LCM of 883,3824 as per the given fractions.
LCM of 883,3824 is 3376592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 981,4792
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 4792
List of positive integer factors of 4792 that divides 4792 without a remainder.
1,2,4,8,599,1198,2396,4792
Greatest Common Factor
We found the factors 981,4792 . The biggest common factor number is the GCF number.
So the greatest common factor 981,4792 is 1.
Lets's calculate LCM of 883,3824
Given numbers has no common factors except 1. So, there LCM is their product i.e 3376592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3376592
Therefore, the GCF of Fractions 981/883,4792/3824 is 1/3376592
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 883,3824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,3824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,3824) x common factors =1 x 1 = 1
LCM(883,3824) = ( 883 × 3824 ) / 1
LCM(883,3824) = 3376592 / 1
LCM(883,3824) = 3376592
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 981/883, 4792/3824?
Answer: GCF of Numerators as per given numbers 981/883, 4792/3824 is
GCF of Numerators i.e. for 981,4792 is 1
LCM of denominators i.e. for 883,3824 is 3376592.
Thus, GCF of Fractions is 1/3376592.Finally, GCF of Fractions for 981/883, 4792/3824 is 1/3376592.