Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 831/22,971/44,265/55
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 831,971,265
Greatest Common Factor of Numerators i.e. GCF of 831,971,265 is 1 .
LCM of Denominators means LCM of 22,44,55 as per the given fractions.
LCM of 22,44,55 is 220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 831,971,265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Greatest Common Factor
We found the factors 831,971,265 . The biggest common factor number is the GCF number.
So the greatest common factor 831,971,265 is 1.
Lets's calculate LCM of 22,44,55
2 | 22, 44, 55 |
11 | 11, 22, 55 |
1, 2, 5 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 2 x 5 = 220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220
Therefore, the GCF of Fractions 831/22,971/44,265/55 is 1/220
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 22,44,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,44,55) = 11
common factors(in case of two or more numbers have common factors) = 22
GCF(22,44,55) x common factors =11 x 22 = 242
LCM(22,44,55) = ( 22 × 44 × 55 ) / 242
LCM(22,44,55) = 53240 / 242
LCM(22,44,55) = 220
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 831/22, 971/44, 265/55?
Answer: GCF of Numerators as per given numbers 831/22, 971/44, 265/55 is
GCF of Numerators i.e. for 831,971,265 is 1
LCM of denominators i.e. for 22,44,55 is 220.
Thus, GCF of Fractions is 1/220.Finally, GCF of Fractions for 831/22, 971/44, 265/55 is 1/220.