Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9769/911,8823/432
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 9769,8823
Greatest Common Factor of Numerators i.e. GCF of 9769,8823 is 1 .
LCM of Denominators means LCM of 911,432 as per the given fractions.
LCM of 911,432 is 393552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9769,8823
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9769
List of positive integer factors of 9769 that divides 9769 without a remainder.
1,9769
Factors of 8823
List of positive integer factors of 8823 that divides 8823 without a remainder.
1,3,17,51,173,519,2941,8823
Greatest Common Factor
We found the factors 9769,8823 . The biggest common factor number is the GCF number.
So the greatest common factor 9769,8823 is 1.
Lets's calculate LCM of 911,432
Given numbers has no common factors except 1. So, there LCM is their product i.e 393552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393552
Therefore, the GCF of Fractions 9769/911,8823/432 is 1/393552
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 911,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,432) x common factors =1 x 1 = 1
LCM(911,432) = ( 911 × 432 ) / 1
LCM(911,432) = 393552 / 1
LCM(911,432) = 393552
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 9769/911, 8823/432?
Answer: GCF of Numerators as per given numbers 9769/911, 8823/432 is
GCF of Numerators i.e. for 9769,8823 is 1
LCM of denominators i.e. for 911,432 is 393552.
Thus, GCF of Fractions is 1/393552.Finally, GCF of Fractions for 9769/911, 8823/432 is 1/393552.