Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/359,1575/3335
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 92,1575
Greatest Common Factor of Numerators i.e. GCF of 92,1575 is 1 .
LCM of Denominators means LCM of 359,3335 as per the given fractions.
LCM of 359,3335 is 1197265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,1575
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 1575
List of positive integer factors of 1575 that divides 1575 without a remainder.
1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575
Greatest Common Factor
We found the factors 92,1575 . The biggest common factor number is the GCF number.
So the greatest common factor 92,1575 is 1.
Lets's calculate LCM of 359,3335
Given numbers has no common factors except 1. So, there LCM is their product i.e 1197265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1197265
Therefore, the GCF of Fractions 92/359,1575/3335 is 1/1197265
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 359,3335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,3335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,3335) x common factors =1 x 1 = 1
LCM(359,3335) = ( 359 × 3335 ) / 1
LCM(359,3335) = 1197265 / 1
LCM(359,3335) = 1197265
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 92/359, 1575/3335?
Answer: GCF of Numerators as per given numbers 92/359, 1575/3335 is
GCF of Numerators i.e. for 92,1575 is 1
LCM of denominators i.e. for 359,3335 is 1197265.
Thus, GCF of Fractions is 1/1197265.Finally, GCF of Fractions for 92/359, 1575/3335 is 1/1197265.