Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/508,465/508,227/328
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 25,465,227
Greatest Common Factor of Numerators i.e. GCF of 25,465,227 is 1 .
LCM of Denominators means LCM of 508,508,328 as per the given fractions.
LCM of 508,508,328 is 41656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 25,465,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Greatest Common Factor
We found the factors 25,465,227 . The biggest common factor number is the GCF number.
So the greatest common factor 25,465,227 is 1.
Lets's calculate LCM of 508,508,328
2 | 508, 508, 328 |
2 | 254, 254, 164 |
127 | 127, 127, 82 |
1, 1, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 1 x 1 x 82 = 41656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41656
Therefore, the GCF of Fractions 25/508,465/508,227/328 is 1/41656
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 508,508,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,508,328) = 4
common factors(in case of two or more numbers have common factors) = 508
GCF(508,508,328) x common factors =4 x 508 = 2032
LCM(508,508,328) = ( 508 × 508 × 328 ) / 2032
LCM(508,508,328) = 84644992 / 2032
LCM(508,508,328) = 41656
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 25/508, 465/508, 227/328?
Answer: GCF of Numerators as per given numbers 25/508, 465/508, 227/328 is
GCF of Numerators i.e. for 25,465,227 is 1
LCM of denominators i.e. for 508,508,328 is 41656.
Thus, GCF of Fractions is 1/41656.Finally, GCF of Fractions for 25/508, 465/508, 227/328 is 1/41656.