Use our free GCF of Fractions Calculator tool to compute the GCF of 649/585, 707/409 i.e 1/239265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 649/585, 707/409.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 649/585,707/409
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 649/585,707/409, numerators are 649,707
Denominators are 585,409
The GCF of 649,707 is 1 .
LCM of 585,409 is 239265.
The greatest common factor of 649/585,707/409 = [GCF of 649,707]/[LCM of 585,409]= 1/239265
Therefore, the GCF of 649/585,707/409 is 1/239265.
To find the highest common factor of 649,707, we have to find the factors of both numbers and list the highest common factor.
The factors of 649 are 1, 11, 59, 649
The factors of 707 are 1, 7, 101, 707
The HCF of 649,707 is 1.
Lets's calculate GCF of 649,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 649
:1,11,59,649
Now, list down the factors of 707
:1,7,101,707
Greatest Common Factor
We found the factors 649,707 . The biggest common factor number is the GCF number.
So the greatest common factor 649,707 is 1.
Lets's calculate LCM of 585,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 239265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239265
Therefore, the GCF of Fractions 649/585,707/409 is 1/239265
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 585,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,409) x common factors =1 x 1 = 1
LCM(585,409) = ( 585 × 409 ) / 1
LCM(585,409) = 239265 / 1
LCM(585,409) = 239265
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 649,707?
The HCF of 649,707 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 649/585, 707/409?
Answer: GCF of Numerators as per given numbers 649/585, 707/409 is
GCF of Numerators i.e. for 649,707 is 1
LCM of denominators i.e. for 585,409 is 239265.
Thus, GCF of Fractions is 1/239265.Finally, GCF of Fractions for 649/585, 707/409 is 1/239265.