GCF of 635/638, 719/568, 886/594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 635/638, 719/568, 886/594 i.e 1/4892184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/638, 719/568, 886/594.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 635/638,719/568,886/594?
Given fractions are 635/638,719/568,886/594
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 635/638,719/568,886/594, numerators are 635,719,886
Denominators are 638,568,594
The GCF of 635,719,886 is 1 .
LCM of 638,568,594 is 4892184.
The greatest common factor of 635/638,719/568,886/594 = [GCF of 635,719,886]/[LCM of 638,568,594]= 1/4892184
Therefore, the GCF of 635/638,719/568,886/594 is 1/4892184.
To find the highest common factor of 635,719,886, we have to find the factors of both numbers and list the highest common factor.
The factors of 635 are 1, 5, 127, 635
The factors of 719 are 1, 719
The factors of 886 are 1, 2, 443, 886
The HCF of 635,719,886 is 1.
Lets's calculate GCF of 635,719,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 635,719,886 By Matching Biggest Common Factor Method
Now, list down the factors of 635
:1,5,127,635
Now, list down the factors of 719
:1,719
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 635,719,886 . The biggest common factor number is the GCF number.
So the greatest common factor 635,719,886 is 1.
Lets's calculate LCM of 638,568,594
| 2 | 638, 568, 594 |
| 11 | 319, 284, 297 |
| 29, 284, 27 |
∴ So the LCM of the given numbers is 2 x 11 x 29 x 284 x 27 = 4892184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4892184
Therefore, the GCF of Fractions 635/638,719/568,886/594 is 1/4892184
Least Common Multiple of 638,568,594 with GCF Formula
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 638,568,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,568,594) = 2
common factors(in case of two or more numbers have common factors) = 22
GCF(638,568,594) x common factors =2 x 22 = 44
LCM(638,568,594) = ( 638 × 568 × 594 ) / 44
LCM(638,568,594) = 215256096 / 44
LCM(638,568,594) = 4892184
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 635/638, 719/568, 886/594
1. What is the HCF of 635,719,886?
The HCF of 635,719,886 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 635/638, 719/568, 886/594?
Answer: GCF of Numerators as per given numbers 635/638, 719/568, 886/594 is
GCF of Numerators i.e. for 635,719,886 is 1
LCM of denominators i.e. for 638,568,594 is 4892184.
Thus, GCF of Fractions is 1/4892184.Finally, GCF of Fractions for 635/638, 719/568, 886/594 is 1/4892184.