Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8918/357,4423/5670
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 8918,4423
Greatest Common Factor of Numerators i.e. GCF of 8918,4423 is 1 .
LCM of Denominators means LCM of 357,5670 as per the given fractions.
LCM of 357,5670 is 96390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8918,4423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8918
List of positive integer factors of 8918 that divides 8918 without a remainder.
1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918
Factors of 4423
List of positive integer factors of 4423 that divides 4423 without a remainder.
1,4423
Greatest Common Factor
We found the factors 8918,4423 . The biggest common factor number is the GCF number.
So the greatest common factor 8918,4423 is 1.
Lets's calculate LCM of 357,5670
3 | 357, 5670 |
7 | 119, 1890 |
17, 270 |
∴ So the LCM of the given numbers is 3 x 7 x 17 x 270 = 96390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96390
Therefore, the GCF of Fractions 8918/357,4423/5670 is 1/96390
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 357,5670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,5670) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(357,5670) x common factors =21 x 1 = 21
LCM(357,5670) = ( 357 × 5670 ) / 21
LCM(357,5670) = 2024190 / 21
LCM(357,5670) = 96390
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 8918/357, 4423/5670?
Answer: GCF of Numerators as per given numbers 8918/357, 4423/5670 is
GCF of Numerators i.e. for 8918,4423 is 1
LCM of denominators i.e. for 357,5670 is 96390.
Thus, GCF of Fractions is 1/96390.Finally, GCF of Fractions for 8918/357, 4423/5670 is 1/96390.