Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/723,46/876,510/614
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 83,46,510
Greatest Common Factor of Numerators i.e. GCF of 83,46,510 is 1 .
LCM of Denominators means LCM of 723,876,614 as per the given fractions.
LCM of 723,876,614 is 64812612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,46,510
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 83,46,510 . The biggest common factor number is the GCF number.
So the greatest common factor 83,46,510 is 1.
Lets's calculate LCM of 723,876,614
2 | 723, 876, 614 |
3 | 723, 438, 307 |
241, 146, 307 |
∴ So the LCM of the given numbers is 2 x 3 x 241 x 146 x 307 = 64812612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64812612
Therefore, the GCF of Fractions 83/723,46/876,510/614 is 1/64812612
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 723,876,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,876,614) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(723,876,614) x common factors =1 x 6 = 6
LCM(723,876,614) = ( 723 × 876 × 614 ) / 6
LCM(723,876,614) = 388875672 / 6
LCM(723,876,614) = 64812612
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 83/723, 46/876, 510/614?
Answer: GCF of Numerators as per given numbers 83/723, 46/876, 510/614 is
GCF of Numerators i.e. for 83,46,510 is 1
LCM of denominators i.e. for 723,876,614 is 64812612.
Thus, GCF of Fractions is 1/64812612.Finally, GCF of Fractions for 83/723, 46/876, 510/614 is 1/64812612.