Use our free GCF of Fractions Calculator tool to compute the GCF of 640/314, 539/754 i.e 1/118378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/314, 539/754.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 640/314,539/754
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 640/314,539/754, numerators are 640,539
Denominators are 314,754
The GCF of 640,539 is 1 .
LCM of 314,754 is 118378.
The greatest common factor of 640/314,539/754 = [GCF of 640,539]/[LCM of 314,754]= 1/118378
Therefore, the GCF of 640/314,539/754 is 1/118378.
To find the highest common factor of 640,539, we have to find the factors of both numbers and list the highest common factor.
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The factors of 539 are 1, 7, 11, 49, 77, 539
The HCF of 640,539 is 1.
Lets's calculate GCF of 640,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Now, list down the factors of 539
:1,7,11,49,77,539
Greatest Common Factor
We found the factors 640,539 . The biggest common factor number is the GCF number.
So the greatest common factor 640,539 is 1.
Lets's calculate LCM of 314,754
2 | 314, 754 |
157, 377 |
∴ So the LCM of the given numbers is 2 x 157 x 377 = 118378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118378
Therefore, the GCF of Fractions 640/314,539/754 is 1/118378
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 314,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,754) x common factors =2 x 1 = 2
LCM(314,754) = ( 314 × 754 ) / 2
LCM(314,754) = 236756 / 2
LCM(314,754) = 118378
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 640,539?
The HCF of 640,539 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 640/314, 539/754?
Answer: GCF of Numerators as per given numbers 640/314, 539/754 is
GCF of Numerators i.e. for 640,539 is 1
LCM of denominators i.e. for 314,754 is 118378.
Thus, GCF of Fractions is 1/118378.Finally, GCF of Fractions for 640/314, 539/754 is 1/118378.