Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/755,71/741,929/931
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 61,71,929
Greatest Common Factor of Numerators i.e. GCF of 61,71,929 is 1 .
LCM of Denominators means LCM of 755,741,931 as per the given fractions.
LCM of 755,741,931 is 27413295 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,71,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 61,71,929 . The biggest common factor number is the GCF number.
So the greatest common factor 61,71,929 is 1.
Lets's calculate LCM of 755,741,931
19 | 755, 741, 931 |
755, 39, 49 |
∴ So the LCM of the given numbers is 19 x 755 x 39 x 49 = 27413295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27413295
Therefore, the GCF of Fractions 61/755,71/741,929/931 is 1/27413295
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 755,741,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,741,931) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(755,741,931) x common factors =1 x 19 = 19
LCM(755,741,931) = ( 755 × 741 × 931 ) / 19
LCM(755,741,931) = 520852605 / 19
LCM(755,741,931) = 27413295
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 61/755, 71/741, 929/931?
Answer: GCF of Numerators as per given numbers 61/755, 71/741, 929/931 is
GCF of Numerators i.e. for 61,71,929 is 1
LCM of denominators i.e. for 755,741,931 is 27413295.
Thus, GCF of Fractions is 1/27413295.Finally, GCF of Fractions for 61/755, 71/741, 929/931 is 1/27413295.