Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 428/170,154/877,485/330
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 428,154,485
Greatest Common Factor of Numerators i.e. GCF of 428,154,485 is 1 .
LCM of Denominators means LCM of 170,877,330 as per the given fractions.
LCM of 170,877,330 is 4919970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 428,154,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 428,154,485 . The biggest common factor number is the GCF number.
So the greatest common factor 428,154,485 is 1.
Lets's calculate LCM of 170,877,330
2 | 170, 877, 330 |
5 | 85, 877, 165 |
17, 877, 33 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 877 x 33 = 4919970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4919970
Therefore, the GCF of Fractions 428/170,154/877,485/330 is 1/4919970
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 170,877,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,877,330) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(170,877,330) x common factors =1 x 10 = 10
LCM(170,877,330) = ( 170 × 877 × 330 ) / 10
LCM(170,877,330) = 49199700 / 10
LCM(170,877,330) = 4919970
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 428/170, 154/877, 485/330?
Answer: GCF of Numerators as per given numbers 428/170, 154/877, 485/330 is
GCF of Numerators i.e. for 428,154,485 is 1
LCM of denominators i.e. for 170,877,330 is 4919970.
Thus, GCF of Fractions is 1/4919970.Finally, GCF of Fractions for 428/170, 154/877, 485/330 is 1/4919970.