GCF of 1455/726, 8732/6417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1455/726, 8732/6417 i.e 1/1552914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1455/726, 8732/6417.
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 1455/726,8732/6417?
Given fractions are 1455/726,8732/6417
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 1455/726,8732/6417, numerators are 1455,8732
Denominators are 726,6417
The GCF of 1455,8732 is 1 .
LCM of 726,6417 is 1552914.
The greatest common factor of 1455/726,8732/6417 = [GCF of 1455,8732]/[LCM of 726,6417]= 1/1552914
Therefore, the GCF of 1455/726,8732/6417 is 1/1552914.
To find the highest common factor of 1455,8732, we have to find the factors of both numbers and list the highest common factor.
The factors of 1455 are 1, 3, 5, 15, 97, 291, 485, 1455
The factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732
The HCF of 1455,8732 is 1.
Lets's calculate GCF of 1455,8732
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1455,8732 By Matching Biggest Common Factor Method
Now, list down the factors of 1455
:1,3,5,15,97,291,485,1455
Now, list down the factors of 8732
:1,2,4,37,59,74,118,148,236,2183,4366,8732
Greatest Common Factor
We found the factors 1455,8732 . The biggest common factor number is the GCF number.
So the greatest common factor 1455,8732 is 1.
Lets's calculate LCM of 726,6417
| 3 | 726, 6417 |
| 242, 2139 |
∴ So the LCM of the given numbers is 3 x 242 x 2139 = 1552914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1552914
Therefore, the GCF of Fractions 1455/726,8732/6417 is 1/1552914
Least Common Multiple of 726,6417 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 726,6417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,6417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(726,6417) x common factors =3 x 1 = 3
LCM(726,6417) = ( 726 × 6417 ) / 3
LCM(726,6417) = 4658742 / 3
LCM(726,6417) = 1552914
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FAQs on GCF of Fractions of 1455/726, 8732/6417
1. What is the HCF of 1455,8732?
The HCF of 1455,8732 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 1455/726, 8732/6417?
Answer: GCF of Numerators as per given numbers 1455/726, 8732/6417 is
GCF of Numerators i.e. for 1455,8732 is 1
LCM of denominators i.e. for 726,6417 is 1552914.
Thus, GCF of Fractions is 1/1552914.Finally, GCF of Fractions for 1455/726, 8732/6417 is 1/1552914.