GCF of 1732/183, 1749/8616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1732/183, 1749/8616 i.e 1/525576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1732/183, 1749/8616.
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 1732/183,1749/8616?
Given fractions are 1732/183,1749/8616
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 1732/183,1749/8616, numerators are 1732,1749
Denominators are 183,8616
The GCF of 1732,1749 is 1 .
LCM of 183,8616 is 525576.
The greatest common factor of 1732/183,1749/8616 = [GCF of 1732,1749]/[LCM of 183,8616]= 1/525576
Therefore, the GCF of 1732/183,1749/8616 is 1/525576.
To find the highest common factor of 1732,1749, we have to find the factors of both numbers and list the highest common factor.
The factors of 1732 are 1, 2, 4, 433, 866, 1732
The factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749
The HCF of 1732,1749 is 1.
Lets's calculate GCF of 1732,1749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1732,1749 By Matching Biggest Common Factor Method
Now, list down the factors of 1732
:1,2,4,433,866,1732
Now, list down the factors of 1749
:1,3,11,33,53,159,583,1749
Greatest Common Factor
We found the factors 1732,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 1732,1749 is 1.
Lets's calculate LCM of 183,8616
| 3 | 183, 8616 |
| 61, 2872 |
∴ So the LCM of the given numbers is 3 x 61 x 2872 = 525576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/525576
Therefore, the GCF of Fractions 1732/183,1749/8616 is 1/525576
Least Common Multiple of 183,8616 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 183,8616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,8616) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,8616) x common factors =3 x 1 = 3
LCM(183,8616) = ( 183 × 8616 ) / 3
LCM(183,8616) = 1576728 / 3
LCM(183,8616) = 525576
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FAQs on GCF of Fractions of 1732/183, 1749/8616
1. What is the HCF of 1732,1749?
The HCF of 1732,1749 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 1732/183, 1749/8616?
Answer: GCF of Numerators as per given numbers 1732/183, 1749/8616 is
GCF of Numerators i.e. for 1732,1749 is 1
LCM of denominators i.e. for 183,8616 is 525576.
Thus, GCF of Fractions is 1/525576.Finally, GCF of Fractions for 1732/183, 1749/8616 is 1/525576.