Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 775/435,9066/9134
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 775,9066
Greatest Common Factor of Numerators i.e. GCF of 775,9066 is 1 .
LCM of Denominators means LCM of 435,9134 as per the given fractions.
LCM of 435,9134 is 3973290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 775,9066
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 9066
List of positive integer factors of 9066 that divides 9066 without a remainder.
1,2,3,6,1511,3022,4533,9066
Greatest Common Factor
We found the factors 775,9066 . The biggest common factor number is the GCF number.
So the greatest common factor 775,9066 is 1.
Lets's calculate LCM of 435,9134
Given numbers has no common factors except 1. So, there LCM is their product i.e 3973290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3973290
Therefore, the GCF of Fractions 775/435,9066/9134 is 1/3973290
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 435,9134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,9134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,9134) x common factors =1 x 1 = 1
LCM(435,9134) = ( 435 × 9134 ) / 1
LCM(435,9134) = 3973290 / 1
LCM(435,9134) = 3973290
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 775/435, 9066/9134?
Answer: GCF of Numerators as per given numbers 775/435, 9066/9134 is
GCF of Numerators i.e. for 775,9066 is 1
LCM of denominators i.e. for 435,9134 is 3973290.
Thus, GCF of Fractions is 1/3973290.Finally, GCF of Fractions for 775/435, 9066/9134 is 1/3973290.