Use our free GCF of Fractions Calculator tool to compute the GCF of 779/860, 821/423 i.e 1/363780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/860, 821/423.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/860,821/423
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 779/860,821/423, numerators are 779,821
Denominators are 860,423
The GCF of 779,821 is 1 .
LCM of 860,423 is 363780.
The greatest common factor of 779/860,821/423 = [GCF of 779,821]/[LCM of 860,423]= 1/363780
Therefore, the GCF of 779/860,821/423 is 1/363780.
To find the highest common factor of 779,821, 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 821 are 1, 821
The HCF of 779,821 is 1.
Lets's calculate GCF of 779,821
∴ 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 821
:1,821
Greatest Common Factor
We found the factors 779,821 . The biggest common factor number is the GCF number.
So the greatest common factor 779,821 is 1.
Lets's calculate LCM of 860,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 363780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363780
Therefore, the GCF of Fractions 779/860,821/423 is 1/363780
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 860,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,423) x common factors =1 x 1 = 1
LCM(860,423) = ( 860 × 423 ) / 1
LCM(860,423) = 363780 / 1
LCM(860,423) = 363780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 779,821?
The HCF of 779,821 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 779/860, 821/423?
Answer: GCF of Numerators as per given numbers 779/860, 821/423 is
GCF of Numerators i.e. for 779,821 is 1
LCM of denominators i.e. for 860,423 is 363780.
Thus, GCF of Fractions is 1/363780.Finally, GCF of Fractions for 779/860, 821/423 is 1/363780.