Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 321/63,804/91,902/270
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 321,804,902
Greatest Common Factor of Numerators i.e. GCF of 321,804,902 is 1 .
LCM of Denominators means LCM of 63,91,270 as per the given fractions.
LCM of 63,91,270 is 24570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 321,804,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 321,804,902 . The biggest common factor number is the GCF number.
So the greatest common factor 321,804,902 is 1.
Lets's calculate LCM of 63,91,270
3 | 63, 91, 270 |
3 | 21, 91, 90 |
7 | 7, 91, 30 |
1, 13, 30 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 1 x 13 x 30 = 24570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24570
Therefore, the GCF of Fractions 321/63,804/91,902/270 is 1/24570
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 63,91,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,91,270) = 1
common factors(in case of two or more numbers have common factors) = 63
GCF(63,91,270) x common factors =1 x 63 = 63
LCM(63,91,270) = ( 63 × 91 × 270 ) / 63
LCM(63,91,270) = 1547910 / 63
LCM(63,91,270) = 24570
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 321/63, 804/91, 902/270?
Answer: GCF of Numerators as per given numbers 321/63, 804/91, 902/270 is
GCF of Numerators i.e. for 321,804,902 is 1
LCM of denominators i.e. for 63,91,270 is 24570.
Thus, GCF of Fractions is 1/24570.Finally, GCF of Fractions for 321/63, 804/91, 902/270 is 1/24570.