Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 604/34,306/1310
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 604,306
Greatest Common Factor of Numerators i.e. GCF of 604,306 is 2 .
LCM of Denominators means LCM of 34,1310 as per the given fractions.
LCM of 34,1310 is 22270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 604,306
2 | 604, 306 |
302, 153 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 604,306 . The biggest common factor number is the GCF number.
So the greatest common factor 604,306 is 2.
Lets's calculate LCM of 34,1310
2 | 34, 1310 |
17, 655 |
∴ So the LCM of the given numbers is 2 x 17 x 655 = 22270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22270
Therefore, the GCF of Fractions 604/34,306/1310 is 2/22270
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 34,1310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,1310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,1310) x common factors =2 x 1 = 2
LCM(34,1310) = ( 34 × 1310 ) / 2
LCM(34,1310) = 44540 / 2
LCM(34,1310) = 22270
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 604/34, 306/1310?
Answer: GCF of Numerators as per given numbers 604/34, 306/1310 is
GCF of Numerators i.e. for 604,306 is 2
LCM of denominators i.e. for 34,1310 is 22270.
Thus, GCF of Fractions is 2/22270.Finally, GCF of Fractions for 604/34, 306/1310 is 2/22270.