Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9370/185,7953/775
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 9370,7953
Greatest Common Factor of Numerators i.e. GCF of 9370,7953 is 1 .
LCM of Denominators means LCM of 185,775 as per the given fractions.
LCM of 185,775 is 28675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9370,7953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9370
List of positive integer factors of 9370 that divides 9370 without a remainder.
1,2,5,10,937,1874,4685,9370
Factors of 7953
List of positive integer factors of 7953 that divides 7953 without a remainder.
1,3,11,33,241,723,2651,7953
Greatest Common Factor
We found the factors 9370,7953 . The biggest common factor number is the GCF number.
So the greatest common factor 9370,7953 is 1.
Lets's calculate LCM of 185,775
5 | 185, 775 |
37, 155 |
∴ So the LCM of the given numbers is 5 x 37 x 155 = 28675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28675
Therefore, the GCF of Fractions 9370/185,7953/775 is 1/28675
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 185,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,775) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,775) x common factors =5 x 1 = 5
LCM(185,775) = ( 185 × 775 ) / 5
LCM(185,775) = 143375 / 5
LCM(185,775) = 28675
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 9370/185, 7953/775?
Answer: GCF of Numerators as per given numbers 9370/185, 7953/775 is
GCF of Numerators i.e. for 9370,7953 is 1
LCM of denominators i.e. for 185,775 is 28675.
Thus, GCF of Fractions is 1/28675.Finally, GCF of Fractions for 9370/185, 7953/775 is 1/28675.