Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/787,726/604,571/328
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 756,726,571
Greatest Common Factor of Numerators i.e. GCF of 756,726,571 is 1 .
LCM of Denominators means LCM of 787,604,328 as per the given fractions.
LCM of 787,604,328 is 38978536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 756,726,571
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
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
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Greatest Common Factor
We found the factors 756,726,571 . The biggest common factor number is the GCF number.
So the greatest common factor 756,726,571 is 1.
Lets's calculate LCM of 787,604,328
2 | 787, 604, 328 |
2 | 787, 302, 164 |
787, 151, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 787 x 151 x 82 = 38978536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38978536
Therefore, the GCF of Fractions 756/787,726/604,571/328 is 1/38978536
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 787,604,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,604,328) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(787,604,328) x common factors =1 x 4 = 4
LCM(787,604,328) = ( 787 × 604 × 328 ) / 4
LCM(787,604,328) = 155914144 / 4
LCM(787,604,328) = 38978536
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 756/787, 726/604, 571/328?
Answer: GCF of Numerators as per given numbers 756/787, 726/604, 571/328 is
GCF of Numerators i.e. for 756,726,571 is 1
LCM of denominators i.e. for 787,604,328 is 38978536.
Thus, GCF of Fractions is 1/38978536.Finally, GCF of Fractions for 756/787, 726/604, 571/328 is 1/38978536.