Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7745/357,8384/930
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 7745,8384
Greatest Common Factor of Numerators i.e. GCF of 7745,8384 is 1 .
LCM of Denominators means LCM of 357,930 as per the given fractions.
LCM of 357,930 is 110670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7745,8384
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7745
List of positive integer factors of 7745 that divides 7745 without a remainder.
1,5,1549,7745
Factors of 8384
List of positive integer factors of 8384 that divides 8384 without a remainder.
1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384
Greatest Common Factor
We found the factors 7745,8384 . The biggest common factor number is the GCF number.
So the greatest common factor 7745,8384 is 1.
Lets's calculate LCM of 357,930
3 | 357, 930 |
119, 310 |
∴ So the LCM of the given numbers is 3 x 119 x 310 = 110670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110670
Therefore, the GCF of Fractions 7745/357,8384/930 is 1/110670
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 357,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,930) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(357,930) x common factors =3 x 1 = 3
LCM(357,930) = ( 357 × 930 ) / 3
LCM(357,930) = 332010 / 3
LCM(357,930) = 110670
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 7745/357, 8384/930?
Answer: GCF of Numerators as per given numbers 7745/357, 8384/930 is
GCF of Numerators i.e. for 7745,8384 is 1
LCM of denominators i.e. for 357,930 is 110670.
Thus, GCF of Fractions is 1/110670.Finally, GCF of Fractions for 7745/357, 8384/930 is 1/110670.