Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1262/378,1385/7813
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 1262,1385
Greatest Common Factor of Numerators i.e. GCF of 1262,1385 is 1 .
LCM of Denominators means LCM of 378,7813 as per the given fractions.
LCM of 378,7813 is 2953314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1262,1385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1262
List of positive integer factors of 1262 that divides 1262 without a remainder.
1,2,631,1262
Factors of 1385
List of positive integer factors of 1385 that divides 1385 without a remainder.
1,5,277,1385
Greatest Common Factor
We found the factors 1262,1385 . The biggest common factor number is the GCF number.
So the greatest common factor 1262,1385 is 1.
Lets's calculate LCM of 378,7813
Given numbers has no common factors except 1. So, there LCM is their product i.e 2953314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2953314
Therefore, the GCF of Fractions 1262/378,1385/7813 is 1/2953314
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 378,7813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,7813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,7813) x common factors =1 x 1 = 1
LCM(378,7813) = ( 378 × 7813 ) / 1
LCM(378,7813) = 2953314 / 1
LCM(378,7813) = 2953314
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 1262/378, 1385/7813?
Answer: GCF of Numerators as per given numbers 1262/378, 1385/7813 is
GCF of Numerators i.e. for 1262,1385 is 1
LCM of denominators i.e. for 378,7813 is 2953314.
Thus, GCF of Fractions is 1/2953314.Finally, GCF of Fractions for 1262/378, 1385/7813 is 1/2953314.