Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 454/369,459/767,296/921
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 454,459,296
Greatest Common Factor of Numerators i.e. GCF of 454,459,296 is 1 .
LCM of Denominators means LCM of 369,767,921 as per the given fractions.
LCM of 369,767,921 is 86888061 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 454,459,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 454,459,296 . The biggest common factor number is the GCF number.
So the greatest common factor 454,459,296 is 1.
Lets's calculate LCM of 369,767,921
3 | 369, 767, 921 |
123, 767, 307 |
∴ So the LCM of the given numbers is 3 x 123 x 767 x 307 = 86888061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86888061
Therefore, the GCF of Fractions 454/369,459/767,296/921 is 1/86888061
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 369,767,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,767,921) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(369,767,921) x common factors =1 x 3 = 3
LCM(369,767,921) = ( 369 × 767 × 921 ) / 3
LCM(369,767,921) = 260664183 / 3
LCM(369,767,921) = 86888061
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 454/369, 459/767, 296/921?
Answer: GCF of Numerators as per given numbers 454/369, 459/767, 296/921 is
GCF of Numerators i.e. for 454,459,296 is 1
LCM of denominators i.e. for 369,767,921 is 86888061.
Thus, GCF of Fractions is 1/86888061.Finally, GCF of Fractions for 454/369, 459/767, 296/921 is 1/86888061.