Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 770/529,864/338,726/571
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 770,864,726
Greatest Common Factor of Numerators i.e. GCF of 770,864,726 is 2 .
LCM of Denominators means LCM of 529,338,571 as per the given fractions.
LCM of 529,338,571 is 102095942 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 770,864,726
2 | 770, 864, 726 |
385, 432, 363 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 770,864,726 . The biggest common factor number is the GCF number.
So the greatest common factor 770,864,726 is 2.
Lets's calculate LCM of 529,338,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 102095942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102095942
Therefore, the GCF of Fractions 770/529,864/338,726/571 is 2/102095942
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 529,338,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,338,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,338,571) x common factors =1 x 1 = 1
LCM(529,338,571) = ( 529 × 338 × 571 ) / 1
LCM(529,338,571) = 102095942 / 1
LCM(529,338,571) = 102095942
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 770/529, 864/338, 726/571?
Answer: GCF of Numerators as per given numbers 770/529, 864/338, 726/571 is
GCF of Numerators i.e. for 770,864,726 is 2
LCM of denominators i.e. for 529,338,571 is 102095942.
Thus, GCF of Fractions is 2/102095942.Finally, GCF of Fractions for 770/529, 864/338, 726/571 is 2/102095942.