Use our free GCF of Fractions Calculator tool to compute the GCF of 69/454, 37/728, 340/136 i.e 1/2809352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/454, 37/728, 340/136.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/454,37/728,340/136
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 69/454,37/728,340/136, numerators are 69,37,340
Denominators are 454,728,136
The GCF of 69,37,340 is 1 .
LCM of 454,728,136 is 2809352.
The greatest common factor of 69/454,37/728,340/136 = [GCF of 69,37,340]/[LCM of 454,728,136]= 1/2809352
Therefore, the GCF of 69/454,37/728,340/136 is 1/2809352.
To find the highest common factor of 69,37,340, 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 37 are 1, 37
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The HCF of 69,37,340 is 1.
Lets's calculate GCF of 69,37,340
∴ 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 37
:1,37
Now, list down the factors of 340
:1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 69,37,340 . The biggest common factor number is the GCF number.
So the greatest common factor 69,37,340 is 1.
Lets's calculate LCM of 454,728,136
2 | 454, 728, 136 |
2 | 227, 364, 68 |
2 | 227, 182, 34 |
227, 91, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 227 x 91 x 17 = 2809352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2809352
Therefore, the GCF of Fractions 69/454,37/728,340/136 is 1/2809352
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 454,728,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,728,136) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(454,728,136) x common factors =2 x 8 = 16
LCM(454,728,136) = ( 454 × 728 × 136 ) / 16
LCM(454,728,136) = 44949632 / 16
LCM(454,728,136) = 2809352
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,37,340?
The HCF of 69,37,340 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 69/454, 37/728, 340/136?
Answer: GCF of Numerators as per given numbers 69/454, 37/728, 340/136 is
GCF of Numerators i.e. for 69,37,340 is 1
LCM of denominators i.e. for 454,728,136 is 2809352.
Thus, GCF of Fractions is 1/2809352.Finally, GCF of Fractions for 69/454, 37/728, 340/136 is 1/2809352.