Use our free GCF of Fractions Calculator tool to compute the GCF of 61/38, 111/71, 789/694 i.e 1/936206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/38, 111/71, 789/694.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/38,111/71,789/694
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 61/38,111/71,789/694, numerators are 61,111,789
Denominators are 38,71,694
The GCF of 61,111,789 is 1 .
LCM of 38,71,694 is 936206.
The greatest common factor of 61/38,111/71,789/694 = [GCF of 61,111,789]/[LCM of 38,71,694]= 1/936206
Therefore, the GCF of 61/38,111/71,789/694 is 1/936206.
To find the highest common factor of 61,111,789, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 111 are 1, 3, 37, 111
The factors of 789 are 1, 3, 263, 789
The HCF of 61,111,789 is 1.
Lets's calculate GCF of 61,111,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 61
:1,61
Now, list down the factors of 111
:1,3,37,111
Now, list down the factors of 789
:1,3,263,789
Greatest Common Factor
We found the factors 61,111,789 . The biggest common factor number is the GCF number.
So the greatest common factor 61,111,789 is 1.
Lets's calculate LCM of 38,71,694
2 | 38, 71, 694 |
19, 71, 347 |
∴ So the LCM of the given numbers is 2 x 19 x 71 x 347 = 936206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/936206
Therefore, the GCF of Fractions 61/38,111/71,789/694 is 1/936206
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 38,71,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,71,694) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,71,694) x common factors =1 x 2 = 2
LCM(38,71,694) = ( 38 × 71 × 694 ) / 2
LCM(38,71,694) = 1872412 / 2
LCM(38,71,694) = 936206
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 61,111,789?
The HCF of 61,111,789 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 61/38, 111/71, 789/694?
Answer: GCF of Numerators as per given numbers 61/38, 111/71, 789/694 is
GCF of Numerators i.e. for 61,111,789 is 1
LCM of denominators i.e. for 38,71,694 is 936206.
Thus, GCF of Fractions is 1/936206.Finally, GCF of Fractions for 61/38, 111/71, 789/694 is 1/936206.