Use our free GCF of Fractions Calculator tool to compute the GCF of 246/710, 779/621 i.e 41/440910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/710, 779/621.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/710,779/621
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 246/710,779/621, numerators are 246,779
Denominators are 710,621
The GCF of 246,779 is 41 .
LCM of 710,621 is 440910.
The greatest common factor of 246/710,779/621 = [GCF of 246,779]/[LCM of 710,621]= 41/440910
Therefore, the GCF of 246/710,779/621 is 41/440910.
To find the highest common factor of 246,779, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 779 are 1, 19, 41, 779
The HCF of 246,779 is 41.
Lets's calculate GCF of 246,779
41 | 246, 779 |
6, 19 |
∴ So the GCF of the given numbers is 41 = 41
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 246,779 . The biggest common factor number is the GCF number.
So the greatest common factor 246,779 is 41.
Lets's calculate LCM of 710,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 440910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/440910
Therefore, the GCF of Fractions 246/710,779/621 is 41/440910
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 710,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(710,621) x common factors =1 x 1 = 1
LCM(710,621) = ( 710 × 621 ) / 1
LCM(710,621) = 440910 / 1
LCM(710,621) = 440910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 246,779?
The HCF of 246,779 is 41
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 246/710, 779/621?
Answer: GCF of Numerators as per given numbers 246/710, 779/621 is
GCF of Numerators i.e. for 246,779 is 41
LCM of denominators i.e. for 710,621 is 440910.
Thus, GCF of Fractions is 41/440910.Finally, GCF of Fractions for 246/710, 779/621 is 41/440910.