Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7758/84,8173/958
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 7758,8173
Greatest Common Factor of Numerators i.e. GCF of 7758,8173 is 1 .
LCM of Denominators means LCM of 84,958 as per the given fractions.
LCM of 84,958 is 40236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7758,8173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7758
List of positive integer factors of 7758 that divides 7758 without a remainder.
1,2,3,6,9,18,431,862,1293,2586,3879,7758
Factors of 8173
List of positive integer factors of 8173 that divides 8173 without a remainder.
1,11,743,8173
Greatest Common Factor
We found the factors 7758,8173 . The biggest common factor number is the GCF number.
So the greatest common factor 7758,8173 is 1.
Lets's calculate LCM of 84,958
2 | 84, 958 |
42, 479 |
∴ So the LCM of the given numbers is 2 x 42 x 479 = 40236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40236
Therefore, the GCF of Fractions 7758/84,8173/958 is 1/40236
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 84,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(84,958) x common factors =2 x 1 = 2
LCM(84,958) = ( 84 × 958 ) / 2
LCM(84,958) = 80472 / 2
LCM(84,958) = 40236
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 7758/84, 8173/958?
Answer: GCF of Numerators as per given numbers 7758/84, 8173/958 is
GCF of Numerators i.e. for 7758,8173 is 1
LCM of denominators i.e. for 84,958 is 40236.
Thus, GCF of Fractions is 1/40236.Finally, GCF of Fractions for 7758/84, 8173/958 is 1/40236.