Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2846/812,8439/2151
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 2846,8439
Greatest Common Factor of Numerators i.e. GCF of 2846,8439 is 1 .
LCM of Denominators means LCM of 812,2151 as per the given fractions.
LCM of 812,2151 is 1746612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2846,8439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2846
List of positive integer factors of 2846 that divides 2846 without a remainder.
1,2,1423,2846
Factors of 8439
List of positive integer factors of 8439 that divides 8439 without a remainder.
1,3,29,87,97,291,2813,8439
Greatest Common Factor
We found the factors 2846,8439 . The biggest common factor number is the GCF number.
So the greatest common factor 2846,8439 is 1.
Lets's calculate LCM of 812,2151
Given numbers has no common factors except 1. So, there LCM is their product i.e 1746612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1746612
Therefore, the GCF of Fractions 2846/812,8439/2151 is 1/1746612
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 812,2151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,2151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,2151) x common factors =1 x 1 = 1
LCM(812,2151) = ( 812 × 2151 ) / 1
LCM(812,2151) = 1746612 / 1
LCM(812,2151) = 1746612
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 2846/812, 8439/2151?
Answer: GCF of Numerators as per given numbers 2846/812, 8439/2151 is
GCF of Numerators i.e. for 2846,8439 is 1
LCM of denominators i.e. for 812,2151 is 1746612.
Thus, GCF of Fractions is 1/1746612.Finally, GCF of Fractions for 2846/812, 8439/2151 is 1/1746612.