GCF of 1835/513, 1644/4440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1835/513, 1644/4440 i.e 1/759240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1835/513, 1644/4440.
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 1835/513,1644/4440?
Given fractions are 1835/513,1644/4440
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 1835/513,1644/4440, numerators are 1835,1644
Denominators are 513,4440
The GCF of 1835,1644 is 1 .
LCM of 513,4440 is 759240.
The greatest common factor of 1835/513,1644/4440 = [GCF of 1835,1644]/[LCM of 513,4440]= 1/759240
Therefore, the GCF of 1835/513,1644/4440 is 1/759240.
To find the highest common factor of 1835,1644, we have to find the factors of both numbers and list the highest common factor.
The factors of 1835 are 1, 5, 367, 1835
The factors of 1644 are 1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822, 1644
The HCF of 1835,1644 is 1.
Lets's calculate GCF of 1835,1644
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1835,1644 By Matching Biggest Common Factor Method
Now, list down the factors of 1835
:1,5,367,1835
Now, list down the factors of 1644
:1,2,3,4,6,12,137,274,411,548,822,1644
Greatest Common Factor
We found the factors 1835,1644 . The biggest common factor number is the GCF number.
So the greatest common factor 1835,1644 is 1.
Lets's calculate LCM of 513,4440
| 3 | 513, 4440 |
| 171, 1480 |
∴ So the LCM of the given numbers is 3 x 171 x 1480 = 759240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759240
Therefore, the GCF of Fractions 1835/513,1644/4440 is 1/759240
Least Common Multiple of 513,4440 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 513,4440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,4440) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,4440) x common factors =3 x 1 = 3
LCM(513,4440) = ( 513 × 4440 ) / 3
LCM(513,4440) = 2277720 / 3
LCM(513,4440) = 759240
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FAQs on GCF of Fractions of 1835/513, 1644/4440
1. What is the HCF of 1835,1644?
The HCF of 1835,1644 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 1835/513, 1644/4440?
Answer: GCF of Numerators as per given numbers 1835/513, 1644/4440 is
GCF of Numerators i.e. for 1835,1644 is 1
LCM of denominators i.e. for 513,4440 is 759240.
Thus, GCF of Fractions is 1/759240.Finally, GCF of Fractions for 1835/513, 1644/4440 is 1/759240.