Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 883/89,371/66,971/431
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 883,371,971
Greatest Common Factor of Numerators i.e. GCF of 883,371,971 is 1 .
LCM of Denominators means LCM of 89,66,431 as per the given fractions.
LCM of 89,66,431 is 2531694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 883,371,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 883,371,971 . The biggest common factor number is the GCF number.
So the greatest common factor 883,371,971 is 1.
Lets's calculate LCM of 89,66,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 2531694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2531694
Therefore, the GCF of Fractions 883/89,371/66,971/431 is 1/2531694
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 89,66,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,66,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,66,431) x common factors =1 x 1 = 1
LCM(89,66,431) = ( 89 × 66 × 431 ) / 1
LCM(89,66,431) = 2531694 / 1
LCM(89,66,431) = 2531694
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 883/89, 371/66, 971/431?
Answer: GCF of Numerators as per given numbers 883/89, 371/66, 971/431 is
GCF of Numerators i.e. for 883,371,971 is 1
LCM of denominators i.e. for 89,66,431 is 2531694.
Thus, GCF of Fractions is 1/2531694.Finally, GCF of Fractions for 883/89, 371/66, 971/431 is 1/2531694.