Use our free GCF of Fractions Calculator tool to compute the GCF of 69/473, 375/485, 677/649 i.e 1/13534895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/473, 375/485, 677/649.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/473,375/485,677/649
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 69/473,375/485,677/649, numerators are 69,375,677
Denominators are 473,485,649
The GCF of 69,375,677 is 1 .
LCM of 473,485,649 is 13534895.
The greatest common factor of 69/473,375/485,677/649 = [GCF of 69,375,677]/[LCM of 473,485,649]= 1/13534895
Therefore, the GCF of 69/473,375/485,677/649 is 1/13534895.
To find the highest common factor of 69,375,677, 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 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 677 are 1, 677
The HCF of 69,375,677 is 1.
Lets's calculate GCF of 69,375,677
∴ 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 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 677
:1,677
Greatest Common Factor
We found the factors 69,375,677 . The biggest common factor number is the GCF number.
So the greatest common factor 69,375,677 is 1.
Lets's calculate LCM of 473,485,649
11 | 473, 485, 649 |
43, 485, 59 |
∴ So the LCM of the given numbers is 11 x 43 x 485 x 59 = 13534895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13534895
Therefore, the GCF of Fractions 69/473,375/485,677/649 is 1/13534895
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 473,485,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,485,649) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(473,485,649) x common factors =1 x 11 = 11
LCM(473,485,649) = ( 473 × 485 × 649 ) / 11
LCM(473,485,649) = 148883845 / 11
LCM(473,485,649) = 13534895
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,375,677?
The HCF of 69,375,677 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 69/473, 375/485, 677/649?
Answer: GCF of Numerators as per given numbers 69/473, 375/485, 677/649 is
GCF of Numerators i.e. for 69,375,677 is 1
LCM of denominators i.e. for 473,485,649 is 13534895.
Thus, GCF of Fractions is 1/13534895.Finally, GCF of Fractions for 69/473, 375/485, 677/649 is 1/13534895.