Use our free GCF of Fractions Calculator tool to compute the GCF of 779/649, 832/638 i.e 1/37642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/649, 832/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/649,832/638
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 779/649,832/638, numerators are 779,832
Denominators are 649,638
The GCF of 779,832 is 1 .
LCM of 649,638 is 37642.
The greatest common factor of 779/649,832/638 = [GCF of 779,832]/[LCM of 649,638]= 1/37642
Therefore, the GCF of 779/649,832/638 is 1/37642.
To find the highest common factor of 779,832, we have to find the factors of both numbers and list the highest common factor.
The factors of 779 are 1, 19, 41, 779
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The HCF of 779,832 is 1.
Lets's calculate GCF of 779,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 779,832 . The biggest common factor number is the GCF number.
So the greatest common factor 779,832 is 1.
Lets's calculate LCM of 649,638
11 | 649, 638 |
59, 58 |
∴ So the LCM of the given numbers is 11 x 59 x 58 = 37642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37642
Therefore, the GCF of Fractions 779/649,832/638 is 1/37642
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 649,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,638) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(649,638) x common factors =11 x 1 = 11
LCM(649,638) = ( 649 × 638 ) / 11
LCM(649,638) = 414062 / 11
LCM(649,638) = 37642
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 779,832?
The HCF of 779,832 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 779/649, 832/638?
Answer: GCF of Numerators as per given numbers 779/649, 832/638 is
GCF of Numerators i.e. for 779,832 is 1
LCM of denominators i.e. for 649,638 is 37642.
Thus, GCF of Fractions is 1/37642.Finally, GCF of Fractions for 779/649, 832/638 is 1/37642.