Use our free GCF of Fractions Calculator tool to compute the GCF of 69/67, 910/84, 558/728 i.e 1/146328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/67, 910/84, 558/728.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/67,910/84,558/728
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 69/67,910/84,558/728, numerators are 69,910,558
Denominators are 67,84,728
The GCF of 69,910,558 is 1 .
LCM of 67,84,728 is 146328.
The greatest common factor of 69/67,910/84,558/728 = [GCF of 69,910,558]/[LCM of 67,84,728]= 1/146328
Therefore, the GCF of 69/67,910/84,558/728 is 1/146328.
To find the highest common factor of 69,910,558, 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 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The HCF of 69,910,558 is 1.
Lets's calculate GCF of 69,910,558
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Now, list down the factors of 558
:1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 69,910,558 . The biggest common factor number is the GCF number.
So the greatest common factor 69,910,558 is 1.
Lets's calculate LCM of 67,84,728
2 | 67, 84, 728 |
2 | 67, 42, 364 |
7 | 67, 21, 182 |
67, 3, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 67 x 3 x 26 = 146328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146328
Therefore, the GCF of Fractions 69/67,910/84,558/728 is 1/146328
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 67,84,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,84,728) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(67,84,728) x common factors =1 x 28 = 28
LCM(67,84,728) = ( 67 × 84 × 728 ) / 28
LCM(67,84,728) = 4097184 / 28
LCM(67,84,728) = 146328
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,910,558?
The HCF of 69,910,558 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 69/67, 910/84, 558/728?
Answer: GCF of Numerators as per given numbers 69/67, 910/84, 558/728 is
GCF of Numerators i.e. for 69,910,558 is 1
LCM of denominators i.e. for 67,84,728 is 146328.
Thus, GCF of Fractions is 1/146328.Finally, GCF of Fractions for 69/67, 910/84, 558/728 is 1/146328.