Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6778/794,2466/7595
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 6778,2466
Greatest Common Factor of Numerators i.e. GCF of 6778,2466 is 2 .
LCM of Denominators means LCM of 794,7595 as per the given fractions.
LCM of 794,7595 is 6030430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6778,2466
2 | 6778, 2466 |
3389, 1233 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6778
List of positive integer factors of 6778 that divides 6778 without a remainder.
1,2,3389,6778
Factors of 2466
List of positive integer factors of 2466 that divides 2466 without a remainder.
1,2,3,6,9,18,137,274,411,822,1233,2466
Greatest Common Factor
We found the factors 6778,2466 . The biggest common factor number is the GCF number.
So the greatest common factor 6778,2466 is 2.
Lets's calculate LCM of 794,7595
Given numbers has no common factors except 1. So, there LCM is their product i.e 6030430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6030430
Therefore, the GCF of Fractions 6778/794,2466/7595 is 2/6030430
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 794,7595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,7595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,7595) x common factors =1 x 1 = 1
LCM(794,7595) = ( 794 × 7595 ) / 1
LCM(794,7595) = 6030430 / 1
LCM(794,7595) = 6030430
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 6778/794, 2466/7595?
Answer: GCF of Numerators as per given numbers 6778/794, 2466/7595 is
GCF of Numerators i.e. for 6778,2466 is 2
LCM of denominators i.e. for 794,7595 is 6030430.
Thus, GCF of Fractions is 2/6030430.Finally, GCF of Fractions for 6778/794, 2466/7595 is 2/6030430.