Use our free GCF of Fractions Calculator tool to compute the GCF of 265/200, 477/674 i.e 53/67400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 265/200, 477/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 265/200,477/674
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 265/200,477/674, numerators are 265,477
Denominators are 200,674
The GCF of 265,477 is 53 .
LCM of 200,674 is 67400.
The greatest common factor of 265/200,477/674 = [GCF of 265,477]/[LCM of 200,674]= 53/67400
Therefore, the GCF of 265/200,477/674 is 53/67400.
To find the highest common factor of 265,477, we have to find the factors of both numbers and list the highest common factor.
The factors of 265 are 1, 5, 53, 265
The factors of 477 are 1, 3, 9, 53, 159, 477
The HCF of 265,477 is 53.
Lets's calculate GCF of 265,477
53 | 265, 477 |
5, 9 |
∴ So the GCF of the given numbers is 53 = 53
Now, list down the factors of 265
:1,5,53,265
Now, list down the factors of 477
:1,3,9,53,159,477
Greatest Common Factor
We found the factors 265,477 . The biggest common factor number is the GCF number.
So the greatest common factor 265,477 is 53.
Lets's calculate LCM of 200,674
2 | 200, 674 |
100, 337 |
∴ So the LCM of the given numbers is 2 x 100 x 337 = 67400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/67400
Therefore, the GCF of Fractions 265/200,477/674 is 53/67400
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 200,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(200,674) x common factors =2 x 1 = 2
LCM(200,674) = ( 200 × 674 ) / 2
LCM(200,674) = 134800 / 2
LCM(200,674) = 67400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 265,477?
The HCF of 265,477 is 53
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 265/200, 477/674?
Answer: GCF of Numerators as per given numbers 265/200, 477/674 is
GCF of Numerators i.e. for 265,477 is 53
LCM of denominators i.e. for 200,674 is 67400.
Thus, GCF of Fractions is 53/67400.Finally, GCF of Fractions for 265/200, 477/674 is 53/67400.