Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5175/398,2837/7749
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 5175,2837
Greatest Common Factor of Numerators i.e. GCF of 5175,2837 is 1 .
LCM of Denominators means LCM of 398,7749 as per the given fractions.
LCM of 398,7749 is 3084102 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5175,2837
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5175
List of positive integer factors of 5175 that divides 5175 without a remainder.
1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175
Factors of 2837
List of positive integer factors of 2837 that divides 2837 without a remainder.
1,2837
Greatest Common Factor
We found the factors 5175,2837 . The biggest common factor number is the GCF number.
So the greatest common factor 5175,2837 is 1.
Lets's calculate LCM of 398,7749
Given numbers has no common factors except 1. So, there LCM is their product i.e 3084102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3084102
Therefore, the GCF of Fractions 5175/398,2837/7749 is 1/3084102
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 398,7749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,7749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,7749) x common factors =1 x 1 = 1
LCM(398,7749) = ( 398 × 7749 ) / 1
LCM(398,7749) = 3084102 / 1
LCM(398,7749) = 3084102
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 5175/398, 2837/7749?
Answer: GCF of Numerators as per given numbers 5175/398, 2837/7749 is
GCF of Numerators i.e. for 5175,2837 is 1
LCM of denominators i.e. for 398,7749 is 3084102.
Thus, GCF of Fractions is 1/3084102.Finally, GCF of Fractions for 5175/398, 2837/7749 is 1/3084102.