Use our free GCF of Fractions Calculator tool to compute the GCF of 819/977, 526/767 i.e 1/749359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/977, 526/767.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/977,526/767
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 819/977,526/767, numerators are 819,526
Denominators are 977,767
The GCF of 819,526 is 1 .
LCM of 977,767 is 749359.
The greatest common factor of 819/977,526/767 = [GCF of 819,526]/[LCM of 977,767]= 1/749359
Therefore, the GCF of 819/977,526/767 is 1/749359.
To find the highest common factor of 819,526, 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 526 are 1, 2, 263, 526
The HCF of 819,526 is 1.
Lets's calculate GCF of 819,526
∴ 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 526
:1,2,263,526
Greatest Common Factor
We found the factors 819,526 . The biggest common factor number is the GCF number.
So the greatest common factor 819,526 is 1.
Lets's calculate LCM of 977,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 749359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749359
Therefore, the GCF of Fractions 819/977,526/767 is 1/749359
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 977,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,767) x common factors =1 x 1 = 1
LCM(977,767) = ( 977 × 767 ) / 1
LCM(977,767) = 749359 / 1
LCM(977,767) = 749359
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 819,526?
The HCF of 819,526 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 819/977, 526/767?
Answer: GCF of Numerators as per given numbers 819/977, 526/767 is
GCF of Numerators i.e. for 819,526 is 1
LCM of denominators i.e. for 977,767 is 749359.
Thus, GCF of Fractions is 1/749359.Finally, GCF of Fractions for 819/977, 526/767 is 1/749359.