Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 310/317,884/345,762/614
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 310,884,762
Greatest Common Factor of Numerators i.e. GCF of 310,884,762 is 2 .
LCM of Denominators means LCM of 317,345,614 as per the given fractions.
LCM of 317,345,614 is 67150110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 310,884,762
2 | 310, 884, 762 |
155, 442, 381 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 310,884,762 . The biggest common factor number is the GCF number.
So the greatest common factor 310,884,762 is 2.
Lets's calculate LCM of 317,345,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 67150110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67150110
Therefore, the GCF of Fractions 310/317,884/345,762/614 is 2/67150110
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 317,345,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,345,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,345,614) x common factors =1 x 1 = 1
LCM(317,345,614) = ( 317 × 345 × 614 ) / 1
LCM(317,345,614) = 67150110 / 1
LCM(317,345,614) = 67150110
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 310/317, 884/345, 762/614?
Answer: GCF of Numerators as per given numbers 310/317, 884/345, 762/614 is
GCF of Numerators i.e. for 310,884,762 is 2
LCM of denominators i.e. for 317,345,614 is 67150110.
Thus, GCF of Fractions is 2/67150110.Finally, GCF of Fractions for 310/317, 884/345, 762/614 is 2/67150110.