Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 245/65,310/71,616/304
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 245,310,616
Greatest Common Factor of Numerators i.e. GCF of 245,310,616 is 1 .
LCM of Denominators means LCM of 65,71,304 as per the given fractions.
LCM of 65,71,304 is 1402960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 245,310,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
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 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 245,310,616 . The biggest common factor number is the GCF number.
So the greatest common factor 245,310,616 is 1.
Lets's calculate LCM of 65,71,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 1402960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1402960
Therefore, the GCF of Fractions 245/65,310/71,616/304 is 1/1402960
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 65,71,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,71,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,71,304) x common factors =1 x 1 = 1
LCM(65,71,304) = ( 65 × 71 × 304 ) / 1
LCM(65,71,304) = 1402960 / 1
LCM(65,71,304) = 1402960
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 245/65, 310/71, 616/304?
Answer: GCF of Numerators as per given numbers 245/65, 310/71, 616/304 is
GCF of Numerators i.e. for 245,310,616 is 1
LCM of denominators i.e. for 65,71,304 is 1402960.
Thus, GCF of Fractions is 1/1402960.Finally, GCF of Fractions for 245/65, 310/71, 616/304 is 1/1402960.