GCF of 1454/728, 8808/8660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1454/728, 8808/8660 i.e 2/1576120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1454/728, 8808/8660.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1454/728,8808/8660?
Given fractions are 1454/728,8808/8660
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 1454/728,8808/8660, numerators are 1454,8808
Denominators are 728,8660
The GCF of 1454,8808 is 2 .
LCM of 728,8660 is 1576120.
The greatest common factor of 1454/728,8808/8660 = [GCF of 1454,8808]/[LCM of 728,8660]= 2/1576120
Therefore, the GCF of 1454/728,8808/8660 is 2/1576120.
To find the highest common factor of 1454,8808, we have to find the factors of both numbers and list the highest common factor.
The factors of 1454 are 1, 2, 727, 1454
The factors of 8808 are 1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808
The HCF of 1454,8808 is 2.
Lets's calculate GCF of 1454,8808
| 2 | 1454, 8808 |
| 727, 4404 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1454,8808 By Matching Biggest Common Factor Method
Now, list down the factors of 1454
:1,2,727,1454
Now, list down the factors of 8808
:1,2,3,4,6,8,12,24,367,734,1101,1468,2202,2936,4404,8808
Greatest Common Factor
We found the factors 1454,8808 . The biggest common factor number is the GCF number.
So the greatest common factor 1454,8808 is 2.
Lets's calculate LCM of 728,8660
| 2 | 728, 8660 |
| 2 | 364, 4330 |
| 182, 2165 |
∴ So the LCM of the given numbers is 2 x 2 x 182 x 2165 = 1576120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1576120
Therefore, the GCF of Fractions 1454/728,8808/8660 is 2/1576120
Least Common Multiple of 728,8660 with GCF Formula
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 728,8660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,8660) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(728,8660) x common factors =4 x 1 = 4
LCM(728,8660) = ( 728 × 8660 ) / 4
LCM(728,8660) = 6304480 / 4
LCM(728,8660) = 1576120
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FAQs on GCF of Fractions of 1454/728, 8808/8660
1. What is the HCF of 1454,8808?
The HCF of 1454,8808 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 1454/728, 8808/8660?
Answer: GCF of Numerators as per given numbers 1454/728, 8808/8660 is
GCF of Numerators i.e. for 1454,8808 is 2
LCM of denominators i.e. for 728,8660 is 1576120.
Thus, GCF of Fractions is 2/1576120.Finally, GCF of Fractions for 1454/728, 8808/8660 is 2/1576120.