Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 227/533,9828/871
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 227,9828
Greatest Common Factor of Numerators i.e. GCF of 227,9828 is 1 .
LCM of Denominators means LCM of 533,871 as per the given fractions.
LCM of 533,871 is 35711 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 227,9828
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 9828
List of positive integer factors of 9828 that divides 9828 without a remainder.
1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828
Greatest Common Factor
We found the factors 227,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 227,9828 is 1.
Lets's calculate LCM of 533,871
13 | 533, 871 |
41, 67 |
∴ So the LCM of the given numbers is 13 x 41 x 67 = 35711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35711
Therefore, the GCF of Fractions 227/533,9828/871 is 1/35711
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 533,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,871) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(533,871) x common factors =13 x 1 = 13
LCM(533,871) = ( 533 × 871 ) / 13
LCM(533,871) = 464243 / 13
LCM(533,871) = 35711
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 227/533, 9828/871?
Answer: GCF of Numerators as per given numbers 227/533, 9828/871 is
GCF of Numerators i.e. for 227,9828 is 1
LCM of denominators i.e. for 533,871 is 35711.
Thus, GCF of Fractions is 1/35711.Finally, GCF of Fractions for 227/533, 9828/871 is 1/35711.