Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 666/612,786/398
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 666,786
Greatest Common Factor of Numerators i.e. GCF of 666,786 is 6 .
LCM of Denominators means LCM of 612,398 as per the given fractions.
LCM of 612,398 is 121788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 666,786
2 | 666, 786 |
3 | 333, 393 |
111, 131 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 666,786 . The biggest common factor number is the GCF number.
So the greatest common factor 666,786 is 6.
Lets's calculate LCM of 612,398
2 | 612, 398 |
306, 199 |
∴ So the LCM of the given numbers is 2 x 306 x 199 = 121788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/121788
Therefore, the GCF of Fractions 666/612,786/398 is 6/121788
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 612,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(612,398) x common factors =2 x 1 = 2
LCM(612,398) = ( 612 × 398 ) / 2
LCM(612,398) = 243576 / 2
LCM(612,398) = 121788
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 666/612, 786/398?
Answer: GCF of Numerators as per given numbers 666/612, 786/398 is
GCF of Numerators i.e. for 666,786 is 6
LCM of denominators i.e. for 612,398 is 121788.
Thus, GCF of Fractions is 6/121788.Finally, GCF of Fractions for 666/612, 786/398 is 6/121788.