Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 608/592,3141/755
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 608,3141
Greatest Common Factor of Numerators i.e. GCF of 608,3141 is 1 .
LCM of Denominators means LCM of 592,755 as per the given fractions.
LCM of 592,755 is 446960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 608,3141
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 3141
List of positive integer factors of 3141 that divides 3141 without a remainder.
1,3,9,349,1047,3141
Greatest Common Factor
We found the factors 608,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 608,3141 is 1.
Lets's calculate LCM of 592,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 446960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446960
Therefore, the GCF of Fractions 608/592,3141/755 is 1/446960
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 592,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(592,755) x common factors =1 x 1 = 1
LCM(592,755) = ( 592 × 755 ) / 1
LCM(592,755) = 446960 / 1
LCM(592,755) = 446960
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 608/592, 3141/755?
Answer: GCF of Numerators as per given numbers 608/592, 3141/755 is
GCF of Numerators i.e. for 608,3141 is 1
LCM of denominators i.e. for 592,755 is 446960.
Thus, GCF of Fractions is 1/446960.Finally, GCF of Fractions for 608/592, 3141/755 is 1/446960.