Use our free GCF of Fractions Calculator tool to compute the GCF of 819/625, 677/687 i.e 1/429375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/625, 677/687.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/625,677/687
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 819/625,677/687, numerators are 819,677
Denominators are 625,687
The GCF of 819,677 is 1 .
LCM of 625,687 is 429375.
The greatest common factor of 819/625,677/687 = [GCF of 819,677]/[LCM of 625,687]= 1/429375
Therefore, the GCF of 819/625,677/687 is 1/429375.
To find the highest common factor of 819,677, we have to find the factors of both numbers and list the highest common factor.
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 677 are 1, 677
The HCF of 819,677 is 1.
Lets's calculate GCF of 819,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 677
:1,677
Greatest Common Factor
We found the factors 819,677 . The biggest common factor number is the GCF number.
So the greatest common factor 819,677 is 1.
Lets's calculate LCM of 625,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 429375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429375
Therefore, the GCF of Fractions 819/625,677/687 is 1/429375
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 625,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,687) x common factors =1 x 1 = 1
LCM(625,687) = ( 625 × 687 ) / 1
LCM(625,687) = 429375 / 1
LCM(625,687) = 429375
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 819,677?
The HCF of 819,677 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 819/625, 677/687?
Answer: GCF of Numerators as per given numbers 819/625, 677/687 is
GCF of Numerators i.e. for 819,677 is 1
LCM of denominators i.e. for 625,687 is 429375.
Thus, GCF of Fractions is 1/429375.Finally, GCF of Fractions for 819/625, 677/687 is 1/429375.