Use our free GCF of Fractions Calculator tool to compute the GCF of 477/277, 614/741 i.e 1/205257 easily. The following is the detailed procedure to determine the greatest common factor of fractions 477/277, 614/741.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 477/277,614/741
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 477/277,614/741, numerators are 477,614
Denominators are 277,741
The GCF of 477,614 is 1 .
LCM of 277,741 is 205257.
The greatest common factor of 477/277,614/741 = [GCF of 477,614]/[LCM of 277,741]= 1/205257
Therefore, the GCF of 477/277,614/741 is 1/205257.
To find the highest common factor of 477,614, we have to find the factors of both numbers and list the highest common factor.
The factors of 477 are 1, 3, 9, 53, 159, 477
The factors of 614 are 1, 2, 307, 614
The HCF of 477,614 is 1.
Lets's calculate GCF of 477,614
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 477
:1,3,9,53,159,477
Now, list down the factors of 614
:1,2,307,614
Greatest Common Factor
We found the factors 477,614 . The biggest common factor number is the GCF number.
So the greatest common factor 477,614 is 1.
Lets's calculate LCM of 277,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 205257
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205257
Therefore, the GCF of Fractions 477/277,614/741 is 1/205257
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 277,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,741) x common factors =1 x 1 = 1
LCM(277,741) = ( 277 × 741 ) / 1
LCM(277,741) = 205257 / 1
LCM(277,741) = 205257
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 477,614?
The HCF of 477,614 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 477/277, 614/741?
Answer: GCF of Numerators as per given numbers 477/277, 614/741 is
GCF of Numerators i.e. for 477,614 is 1
LCM of denominators i.e. for 277,741 is 205257.
Thus, GCF of Fractions is 1/205257.Finally, GCF of Fractions for 477/277, 614/741 is 1/205257.