Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 108/858,5507/9580
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 108,5507
Greatest Common Factor of Numerators i.e. GCF of 108,5507 is 1 .
LCM of Denominators means LCM of 858,9580 as per the given fractions.
LCM of 858,9580 is 4109820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 108,5507
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 5507
List of positive integer factors of 5507 that divides 5507 without a remainder.
1,5507
Greatest Common Factor
We found the factors 108,5507 . The biggest common factor number is the GCF number.
So the greatest common factor 108,5507 is 1.
Lets's calculate LCM of 858,9580
2 | 858, 9580 |
429, 4790 |
∴ So the LCM of the given numbers is 2 x 429 x 4790 = 4109820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4109820
Therefore, the GCF of Fractions 108/858,5507/9580 is 1/4109820
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 858,9580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,9580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(858,9580) x common factors =2 x 1 = 2
LCM(858,9580) = ( 858 × 9580 ) / 2
LCM(858,9580) = 8219640 / 2
LCM(858,9580) = 4109820
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 108/858, 5507/9580?
Answer: GCF of Numerators as per given numbers 108/858, 5507/9580 is
GCF of Numerators i.e. for 108,5507 is 1
LCM of denominators i.e. for 858,9580 is 4109820.
Thus, GCF of Fractions is 1/4109820.Finally, GCF of Fractions for 108/858, 5507/9580 is 1/4109820.