Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2192/68,7605/826
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 2192,7605
Greatest Common Factor of Numerators i.e. GCF of 2192,7605 is 1 .
LCM of Denominators means LCM of 68,826 as per the given fractions.
LCM of 68,826 is 28084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2192,7605
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2192
List of positive integer factors of 2192 that divides 2192 without a remainder.
1,2,4,8,16,137,274,548,1096,2192
Factors of 7605
List of positive integer factors of 7605 that divides 7605 without a remainder.
1,3,5,9,13,15,39,45,65,117,169,195,507,585,845,1521,2535,7605
Greatest Common Factor
We found the factors 2192,7605 . The biggest common factor number is the GCF number.
So the greatest common factor 2192,7605 is 1.
Lets's calculate LCM of 68,826
2 | 68, 826 |
34, 413 |
∴ So the LCM of the given numbers is 2 x 34 x 413 = 28084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28084
Therefore, the GCF of Fractions 2192/68,7605/826 is 1/28084
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 68,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,826) x common factors =2 x 1 = 2
LCM(68,826) = ( 68 × 826 ) / 2
LCM(68,826) = 56168 / 2
LCM(68,826) = 28084
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 2192/68, 7605/826?
Answer: GCF of Numerators as per given numbers 2192/68, 7605/826 is
GCF of Numerators i.e. for 2192,7605 is 1
LCM of denominators i.e. for 68,826 is 28084.
Thus, GCF of Fractions is 1/28084.Finally, GCF of Fractions for 2192/68, 7605/826 is 1/28084.