Use our free GCF of Fractions Calculator tool to compute the GCF of 69/61, 726/99, 894/238 i.e 3/1437282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/61, 726/99, 894/238.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/61,726/99,894/238
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 69/61,726/99,894/238, numerators are 69,726,894
Denominators are 61,99,238
The GCF of 69,726,894 is 3 .
LCM of 61,99,238 is 1437282.
The greatest common factor of 69/61,726/99,894/238 = [GCF of 69,726,894]/[LCM of 61,99,238]= 3/1437282
Therefore, the GCF of 69/61,726/99,894/238 is 3/1437282.
To find the highest common factor of 69,726,894, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894
The HCF of 69,726,894 is 3.
Lets's calculate GCF of 69,726,894
3 | 69, 726, 894 |
23, 242, 298 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Now, list down the factors of 894
:1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 69,726,894 . The biggest common factor number is the GCF number.
So the greatest common factor 69,726,894 is 3.
Lets's calculate LCM of 61,99,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 1437282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1437282
Therefore, the GCF of Fractions 69/61,726/99,894/238 is 3/1437282
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 61,99,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,99,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,99,238) x common factors =1 x 1 = 1
LCM(61,99,238) = ( 61 × 99 × 238 ) / 1
LCM(61,99,238) = 1437282 / 1
LCM(61,99,238) = 1437282
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,726,894?
The HCF of 69,726,894 is 3
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 69/61, 726/99, 894/238?
Answer: GCF of Numerators as per given numbers 69/61, 726/99, 894/238 is
GCF of Numerators i.e. for 69,726,894 is 3
LCM of denominators i.e. for 61,99,238 is 1437282.
Thus, GCF of Fractions is 3/1437282.Finally, GCF of Fractions for 69/61, 726/99, 894/238 is 3/1437282.