GCF of 3783/449, 1658/4520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3783/449, 1658/4520 i.e 1/2029480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3783/449, 1658/4520.
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 3783/449,1658/4520?
Given fractions are 3783/449,1658/4520
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 3783/449,1658/4520, numerators are 3783,1658
Denominators are 449,4520
The GCF of 3783,1658 is 1 .
LCM of 449,4520 is 2029480.
The greatest common factor of 3783/449,1658/4520 = [GCF of 3783,1658]/[LCM of 449,4520]= 1/2029480
Therefore, the GCF of 3783/449,1658/4520 is 1/2029480.
To find the highest common factor of 3783,1658, we have to find the factors of both numbers and list the highest common factor.
The factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783
The factors of 1658 are 1, 2, 829, 1658
The HCF of 3783,1658 is 1.
Lets's calculate GCF of 3783,1658
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3783,1658 By Matching Biggest Common Factor Method
Now, list down the factors of 3783
:1,3,13,39,97,291,1261,3783
Now, list down the factors of 1658
:1,2,829,1658
Greatest Common Factor
We found the factors 3783,1658 . The biggest common factor number is the GCF number.
So the greatest common factor 3783,1658 is 1.
Lets's calculate LCM of 449,4520
Given numbers has no common factors except 1. So, there LCM is their product i.e 2029480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2029480
Therefore, the GCF of Fractions 3783/449,1658/4520 is 1/2029480
Least Common Multiple of 449,4520 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 449,4520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,4520) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,4520) x common factors =1 x 1 = 1
LCM(449,4520) = ( 449 × 4520 ) / 1
LCM(449,4520) = 2029480 / 1
LCM(449,4520) = 2029480
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FAQs on GCF of Fractions of 3783/449, 1658/4520
1. What is the HCF of 3783,1658?
The HCF of 3783,1658 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 3783/449, 1658/4520?
Answer: GCF of Numerators as per given numbers 3783/449, 1658/4520 is
GCF of Numerators i.e. for 3783,1658 is 1
LCM of denominators i.e. for 449,4520 is 2029480.
Thus, GCF of Fractions is 1/2029480.Finally, GCF of Fractions for 3783/449, 1658/4520 is 1/2029480.