Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 485/414,351/870,454/411
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 485,351,454
Greatest Common Factor of Numerators i.e. GCF of 485,351,454 is 1 .
LCM of Denominators means LCM of 414,870,411 as per the given fractions.
LCM of 414,870,411 is 8224110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 485,351,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 485,351,454 . The biggest common factor number is the GCF number.
So the greatest common factor 485,351,454 is 1.
Lets's calculate LCM of 414,870,411
2 | 414, 870, 411 |
3 | 207, 435, 411 |
69, 145, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 145 x 137 = 8224110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8224110
Therefore, the GCF of Fractions 485/414,351/870,454/411 is 1/8224110
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 414,870,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,870,411) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(414,870,411) x common factors =3 x 6 = 18
LCM(414,870,411) = ( 414 × 870 × 411 ) / 18
LCM(414,870,411) = 148033980 / 18
LCM(414,870,411) = 8224110
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 485/414, 351/870, 454/411?
Answer: GCF of Numerators as per given numbers 485/414, 351/870, 454/411 is
GCF of Numerators i.e. for 485,351,454 is 1
LCM of denominators i.e. for 414,870,411 is 8224110.
Thus, GCF of Fractions is 1/8224110.Finally, GCF of Fractions for 485/414, 351/870, 454/411 is 1/8224110.