Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 765/66,2706/119
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 765,2706
Greatest Common Factor of Numerators i.e. GCF of 765,2706 is 3 .
LCM of Denominators means LCM of 66,119 as per the given fractions.
LCM of 66,119 is 7854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 765,2706
3 | 765, 2706 |
255, 902 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 2706
List of positive integer factors of 2706 that divides 2706 without a remainder.
1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706
Greatest Common Factor
We found the factors 765,2706 . The biggest common factor number is the GCF number.
So the greatest common factor 765,2706 is 3.
Lets's calculate LCM of 66,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 7854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7854
Therefore, the GCF of Fractions 765/66,2706/119 is 3/7854
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 66,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,119) x common factors =1 x 1 = 1
LCM(66,119) = ( 66 × 119 ) / 1
LCM(66,119) = 7854 / 1
LCM(66,119) = 7854
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 765/66, 2706/119?
Answer: GCF of Numerators as per given numbers 765/66, 2706/119 is
GCF of Numerators i.e. for 765,2706 is 3
LCM of denominators i.e. for 66,119 is 7854.
Thus, GCF of Fractions is 3/7854.Finally, GCF of Fractions for 765/66, 2706/119 is 3/7854.