GCF of 1749/238, 4555/3932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1749/238, 4555/3932 i.e 1/467908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1749/238, 4555/3932.
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 1749/238,4555/3932?
Given fractions are 1749/238,4555/3932
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 1749/238,4555/3932, numerators are 1749,4555
Denominators are 238,3932
The GCF of 1749,4555 is 1 .
LCM of 238,3932 is 467908.
The greatest common factor of 1749/238,4555/3932 = [GCF of 1749,4555]/[LCM of 238,3932]= 1/467908
Therefore, the GCF of 1749/238,4555/3932 is 1/467908.
To find the highest common factor of 1749,4555, we have to find the factors of both numbers and list the highest common factor.
The factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749
The factors of 4555 are 1, 5, 911, 4555
The HCF of 1749,4555 is 1.
Lets's calculate GCF of 1749,4555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1749,4555 By Matching Biggest Common Factor Method
Now, list down the factors of 1749
:1,3,11,33,53,159,583,1749
Now, list down the factors of 4555
:1,5,911,4555
Greatest Common Factor
We found the factors 1749,4555 . The biggest common factor number is the GCF number.
So the greatest common factor 1749,4555 is 1.
Lets's calculate LCM of 238,3932
| 2 | 238, 3932 |
| 119, 1966 |
∴ So the LCM of the given numbers is 2 x 119 x 1966 = 467908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467908
Therefore, the GCF of Fractions 1749/238,4555/3932 is 1/467908
Least Common Multiple of 238,3932 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 238,3932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,3932) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,3932) x common factors =2 x 1 = 2
LCM(238,3932) = ( 238 × 3932 ) / 2
LCM(238,3932) = 935816 / 2
LCM(238,3932) = 467908
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FAQs on GCF of Fractions of 1749/238, 4555/3932
1. What is the HCF of 1749,4555?
The HCF of 1749,4555 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 1749/238, 4555/3932?
Answer: GCF of Numerators as per given numbers 1749/238, 4555/3932 is
GCF of Numerators i.e. for 1749,4555 is 1
LCM of denominators i.e. for 238,3932 is 467908.
Thus, GCF of Fractions is 1/467908.Finally, GCF of Fractions for 1749/238, 4555/3932 is 1/467908.