GCF of 1628/213, 6609/2285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1628/213, 6609/2285 i.e 1/486705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1628/213, 6609/2285.
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 1628/213,6609/2285?
Given fractions are 1628/213,6609/2285
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 1628/213,6609/2285, numerators are 1628,6609
Denominators are 213,2285
The GCF of 1628,6609 is 1 .
LCM of 213,2285 is 486705.
The greatest common factor of 1628/213,6609/2285 = [GCF of 1628,6609]/[LCM of 213,2285]= 1/486705
Therefore, the GCF of 1628/213,6609/2285 is 1/486705.
To find the highest common factor of 1628,6609, we have to find the factors of both numbers and list the highest common factor.
The factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628
The factors of 6609 are 1, 3, 2203, 6609
The HCF of 1628,6609 is 1.
Lets's calculate GCF of 1628,6609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1628,6609 By Matching Biggest Common Factor Method
Now, list down the factors of 1628
:1,2,4,11,22,37,44,74,148,407,814,1628
Now, list down the factors of 6609
:1,3,2203,6609
Greatest Common Factor
We found the factors 1628,6609 . The biggest common factor number is the GCF number.
So the greatest common factor 1628,6609 is 1.
Lets's calculate LCM of 213,2285
Given numbers has no common factors except 1. So, there LCM is their product i.e 486705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486705
Therefore, the GCF of Fractions 1628/213,6609/2285 is 1/486705
Least Common Multiple of 213,2285 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 213,2285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,2285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,2285) x common factors =1 x 1 = 1
LCM(213,2285) = ( 213 × 2285 ) / 1
LCM(213,2285) = 486705 / 1
LCM(213,2285) = 486705
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FAQs on GCF of Fractions of 1628/213, 6609/2285
1. What is the HCF of 1628,6609?
The HCF of 1628,6609 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 1628/213, 6609/2285?
Answer: GCF of Numerators as per given numbers 1628/213, 6609/2285 is
GCF of Numerators i.e. for 1628,6609 is 1
LCM of denominators i.e. for 213,2285 is 486705.
Thus, GCF of Fractions is 1/486705.Finally, GCF of Fractions for 1628/213, 6609/2285 is 1/486705.