Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7705/53,8734/213
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 7705,8734
Greatest Common Factor of Numerators i.e. GCF of 7705,8734 is 1 .
LCM of Denominators means LCM of 53,213 as per the given fractions.
LCM of 53,213 is 11289 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7705,8734
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7705
List of positive integer factors of 7705 that divides 7705 without a remainder.
1,5,23,67,115,335,1541,7705
Factors of 8734
List of positive integer factors of 8734 that divides 8734 without a remainder.
1,2,11,22,397,794,4367,8734
Greatest Common Factor
We found the factors 7705,8734 . The biggest common factor number is the GCF number.
So the greatest common factor 7705,8734 is 1.
Lets's calculate LCM of 53,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 11289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11289
Therefore, the GCF of Fractions 7705/53,8734/213 is 1/11289
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 53,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,213) x common factors =1 x 1 = 1
LCM(53,213) = ( 53 × 213 ) / 1
LCM(53,213) = 11289 / 1
LCM(53,213) = 11289
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 7705/53, 8734/213?
Answer: GCF of Numerators as per given numbers 7705/53, 8734/213 is
GCF of Numerators i.e. for 7705,8734 is 1
LCM of denominators i.e. for 53,213 is 11289.
Thus, GCF of Fractions is 1/11289.Finally, GCF of Fractions for 7705/53, 8734/213 is 1/11289.