GCF of 1663/120, 6669/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1663/120, 6669/149 i.e 1/17880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1663/120, 6669/149.
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 1663/120,6669/149?
Given fractions are 1663/120,6669/149
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 1663/120,6669/149, numerators are 1663,6669
Denominators are 120,149
The GCF of 1663,6669 is 1 .
LCM of 120,149 is 17880.
The greatest common factor of 1663/120,6669/149 = [GCF of 1663,6669]/[LCM of 120,149]= 1/17880
Therefore, the GCF of 1663/120,6669/149 is 1/17880.
To find the highest common factor of 1663,6669, we have to find the factors of both numbers and list the highest common factor.
The factors of 1663 are 1, 1663
The factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669
The HCF of 1663,6669 is 1.
Lets's calculate GCF of 1663,6669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1663,6669 By Matching Biggest Common Factor Method
Now, list down the factors of 1663
:1,1663
Now, list down the factors of 6669
:1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669
Greatest Common Factor
We found the factors 1663,6669 . The biggest common factor number is the GCF number.
So the greatest common factor 1663,6669 is 1.
Lets's calculate LCM of 120,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 17880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17880
Therefore, the GCF of Fractions 1663/120,6669/149 is 1/17880
Least Common Multiple of 120,149 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 120,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(120,149) x common factors =1 x 1 = 1
LCM(120,149) = ( 120 × 149 ) / 1
LCM(120,149) = 17880 / 1
LCM(120,149) = 17880
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FAQs on GCF of Fractions of 1663/120, 6669/149
1. What is the HCF of 1663,6669?
The HCF of 1663,6669 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 1663/120, 6669/149?
Answer: GCF of Numerators as per given numbers 1663/120, 6669/149 is
GCF of Numerators i.e. for 1663,6669 is 1
LCM of denominators i.e. for 120,149 is 17880.
Thus, GCF of Fractions is 1/17880.Finally, GCF of Fractions for 1663/120, 6669/149 is 1/17880.