Use our free GCF of Fractions Calculator tool to compute the GCF of 268/996, 507/753 i.e 1/249996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/996, 507/753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/996,507/753
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 268/996,507/753, numerators are 268,507
Denominators are 996,753
The GCF of 268,507 is 1 .
LCM of 996,753 is 249996.
The greatest common factor of 268/996,507/753 = [GCF of 268,507]/[LCM of 996,753]= 1/249996
Therefore, the GCF of 268/996,507/753 is 1/249996.
To find the highest common factor of 268,507, we have to find the factors of both numbers and list the highest common factor.
The factors of 268 are 1, 2, 4, 67, 134, 268
The factors of 507 are 1, 3, 13, 39, 169, 507
The HCF of 268,507 is 1.
Lets's calculate GCF of 268,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 268
:1,2,4,67,134,268
Now, list down the factors of 507
:1,3,13,39,169,507
Greatest Common Factor
We found the factors 268,507 . The biggest common factor number is the GCF number.
So the greatest common factor 268,507 is 1.
Lets's calculate LCM of 996,753
3 | 996, 753 |
332, 251 |
∴ So the LCM of the given numbers is 3 x 332 x 251 = 249996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249996
Therefore, the GCF of Fractions 268/996,507/753 is 1/249996
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 996,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(996,753) x common factors =3 x 1 = 3
LCM(996,753) = ( 996 × 753 ) / 3
LCM(996,753) = 749988 / 3
LCM(996,753) = 249996
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 268,507?
The HCF of 268,507 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 268/996, 507/753?
Answer: GCF of Numerators as per given numbers 268/996, 507/753 is
GCF of Numerators i.e. for 268,507 is 1
LCM of denominators i.e. for 996,753 is 249996.
Thus, GCF of Fractions is 1/249996.Finally, GCF of Fractions for 268/996, 507/753 is 1/249996.