Use our free GCF of Fractions Calculator tool to compute the GCF of 734/772, 838/732 i.e 2/141276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 734/772, 838/732.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 734/772,838/732
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 734/772,838/732, numerators are 734,838
Denominators are 772,732
The GCF of 734,838 is 2 .
LCM of 772,732 is 141276.
The greatest common factor of 734/772,838/732 = [GCF of 734,838]/[LCM of 772,732]= 2/141276
Therefore, the GCF of 734/772,838/732 is 2/141276.
To find the highest common factor of 734,838, we have to find the factors of both numbers and list the highest common factor.
The factors of 734 are 1, 2, 367, 734
The factors of 838 are 1, 2, 419, 838
The HCF of 734,838 is 2.
Lets's calculate GCF of 734,838
2 | 734, 838 |
367, 419 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 734
:1,2,367,734
Now, list down the factors of 838
:1,2,419,838
Greatest Common Factor
We found the factors 734,838 . The biggest common factor number is the GCF number.
So the greatest common factor 734,838 is 2.
Lets's calculate LCM of 772,732
2 | 772, 732 |
2 | 386, 366 |
193, 183 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 183 = 141276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141276
Therefore, the GCF of Fractions 734/772,838/732 is 2/141276
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 772,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,732) x common factors =4 x 1 = 4
LCM(772,732) = ( 772 × 732 ) / 4
LCM(772,732) = 565104 / 4
LCM(772,732) = 141276
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 734,838?
The HCF of 734,838 is 2
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 734/772, 838/732?
Answer: GCF of Numerators as per given numbers 734/772, 838/732 is
GCF of Numerators i.e. for 734,838 is 2
LCM of denominators i.e. for 772,732 is 141276.
Thus, GCF of Fractions is 2/141276.Finally, GCF of Fractions for 734/772, 838/732 is 2/141276.