Use our free GCF of Fractions Calculator tool to compute the GCF of 7536/922, 1621/820 i.e 1/378020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7536/922, 1621/820.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7536/922,1621/820
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 7536/922,1621/820, numerators are 7536,1621
Denominators are 922,820
The GCF of 7536,1621 is 1 .
LCM of 922,820 is 378020.
The greatest common factor of 7536/922,1621/820 = [GCF of 7536,1621]/[LCM of 922,820]= 1/378020
Therefore, the GCF of 7536/922,1621/820 is 1/378020.
To find the highest common factor of 7536,1621, we have to find the factors of both numbers and list the highest common factor.
The factors of 7536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536
The factors of 1621 are 1, 1621
The HCF of 7536,1621 is 1.
Lets's calculate GCF of 7536,1621
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7536
:1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Now, list down the factors of 1621
:1,1621
Greatest Common Factor
We found the factors 7536,1621 . The biggest common factor number is the GCF number.
So the greatest common factor 7536,1621 is 1.
Lets's calculate LCM of 922,820
2 | 922, 820 |
461, 410 |
∴ So the LCM of the given numbers is 2 x 461 x 410 = 378020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378020
Therefore, the GCF of Fractions 7536/922,1621/820 is 1/378020
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 922,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,820) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,820) x common factors =2 x 1 = 2
LCM(922,820) = ( 922 × 820 ) / 2
LCM(922,820) = 756040 / 2
LCM(922,820) = 378020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7536,1621?
The HCF of 7536,1621 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 7536/922, 1621/820?
Answer: GCF of Numerators as per given numbers 7536/922, 1621/820 is
GCF of Numerators i.e. for 7536,1621 is 1
LCM of denominators i.e. for 922,820 is 378020.
Thus, GCF of Fractions is 1/378020.Finally, GCF of Fractions for 7536/922, 1621/820 is 1/378020.