Use our free GCF of Fractions Calculator tool to compute the GCF of 497/236, 716/536 i.e 1/31624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 497/236, 716/536.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 497/236,716/536
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 497/236,716/536, numerators are 497,716
Denominators are 236,536
The GCF of 497,716 is 1 .
LCM of 236,536 is 31624.
The greatest common factor of 497/236,716/536 = [GCF of 497,716]/[LCM of 236,536]= 1/31624
Therefore, the GCF of 497/236,716/536 is 1/31624.
To find the highest common factor of 497,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 497 are 1, 7, 71, 497
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 497,716 is 1.
Lets's calculate GCF of 497,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 497
:1,7,71,497
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 497,716 . The biggest common factor number is the GCF number.
So the greatest common factor 497,716 is 1.
Lets's calculate LCM of 236,536
2 | 236, 536 |
2 | 118, 268 |
59, 134 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 134 = 31624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31624
Therefore, the GCF of Fractions 497/236,716/536 is 1/31624
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 236,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,536) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(236,536) x common factors =4 x 1 = 4
LCM(236,536) = ( 236 × 536 ) / 4
LCM(236,536) = 126496 / 4
LCM(236,536) = 31624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 497,716?
The HCF of 497,716 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 497/236, 716/536?
Answer: GCF of Numerators as per given numbers 497/236, 716/536 is
GCF of Numerators i.e. for 497,716 is 1
LCM of denominators i.e. for 236,536 is 31624.
Thus, GCF of Fractions is 1/31624.Finally, GCF of Fractions for 497/236, 716/536 is 1/31624.