Use our free GCF of Fractions Calculator tool to compute the GCF of 788/943, 525/298 i.e 1/281014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 788/943, 525/298.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 788/943,525/298
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 788/943,525/298, numerators are 788,525
Denominators are 943,298
The GCF of 788,525 is 1 .
LCM of 943,298 is 281014.
The greatest common factor of 788/943,525/298 = [GCF of 788,525]/[LCM of 943,298]= 1/281014
Therefore, the GCF of 788/943,525/298 is 1/281014.
To find the highest common factor of 788,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 788 are 1, 2, 4, 197, 394, 788
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 788,525 is 1.
Lets's calculate GCF of 788,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 788
:1,2,4,197,394,788
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 788,525 . The biggest common factor number is the GCF number.
So the greatest common factor 788,525 is 1.
Lets's calculate LCM of 943,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 281014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281014
Therefore, the GCF of Fractions 788/943,525/298 is 1/281014
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 943,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,298) x common factors =1 x 1 = 1
LCM(943,298) = ( 943 × 298 ) / 1
LCM(943,298) = 281014 / 1
LCM(943,298) = 281014
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 788,525?
The HCF of 788,525 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 788/943, 525/298?
Answer: GCF of Numerators as per given numbers 788/943, 525/298 is
GCF of Numerators i.e. for 788,525 is 1
LCM of denominators i.e. for 943,298 is 281014.
Thus, GCF of Fractions is 1/281014.Finally, GCF of Fractions for 788/943, 525/298 is 1/281014.