GCF of 6669/829, 7637/2619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6669/829, 7637/2619 i.e 1/2171151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6669/829, 7637/2619.
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 6669/829,7637/2619?
Given fractions are 6669/829,7637/2619
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 6669/829,7637/2619, numerators are 6669,7637
Denominators are 829,2619
The GCF of 6669,7637 is 1 .
LCM of 829,2619 is 2171151.
The greatest common factor of 6669/829,7637/2619 = [GCF of 6669,7637]/[LCM of 829,2619]= 1/2171151
Therefore, the GCF of 6669/829,7637/2619 is 1/2171151.
To find the highest common factor of 6669,7637, we have to find the factors of both numbers and list the highest common factor.
The factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669
The factors of 7637 are 1, 7, 1091, 7637
The HCF of 6669,7637 is 1.
Lets's calculate GCF of 6669,7637
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6669,7637 By Matching Biggest Common Factor Method
Now, list down the factors of 6669
:1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669
Now, list down the factors of 7637
:1,7,1091,7637
Greatest Common Factor
We found the factors 6669,7637 . The biggest common factor number is the GCF number.
So the greatest common factor 6669,7637 is 1.
Lets's calculate LCM of 829,2619
Given numbers has no common factors except 1. So, there LCM is their product i.e 2171151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2171151
Therefore, the GCF of Fractions 6669/829,7637/2619 is 1/2171151
Least Common Multiple of 829,2619 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 829,2619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,2619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,2619) x common factors =1 x 1 = 1
LCM(829,2619) = ( 829 × 2619 ) / 1
LCM(829,2619) = 2171151 / 1
LCM(829,2619) = 2171151
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FAQs on GCF of Fractions of 6669/829, 7637/2619
1. What is the HCF of 6669,7637?
The HCF of 6669,7637 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 6669/829, 7637/2619?
Answer: GCF of Numerators as per given numbers 6669/829, 7637/2619 is
GCF of Numerators i.e. for 6669,7637 is 1
LCM of denominators i.e. for 829,2619 is 2171151.
Thus, GCF of Fractions is 1/2171151.Finally, GCF of Fractions for 6669/829, 7637/2619 is 1/2171151.