GCF of 6699/642, 1619/8649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6699/642, 1619/8649 i.e 1/1850886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6699/642, 1619/8649.
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 6699/642,1619/8649?
Given fractions are 6699/642,1619/8649
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 6699/642,1619/8649, numerators are 6699,1619
Denominators are 642,8649
The GCF of 6699,1619 is 1 .
LCM of 642,8649 is 1850886.
The greatest common factor of 6699/642,1619/8649 = [GCF of 6699,1619]/[LCM of 642,8649]= 1/1850886
Therefore, the GCF of 6699/642,1619/8649 is 1/1850886.
To find the highest common factor of 6699,1619, we have to find the factors of both numbers and list the highest common factor.
The factors of 6699 are 1, 3, 7, 11, 21, 29, 33, 77, 87, 203, 231, 319, 609, 957, 2233, 6699
The factors of 1619 are 1, 1619
The HCF of 6699,1619 is 1.
Lets's calculate GCF of 6699,1619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6699,1619 By Matching Biggest Common Factor Method
Now, list down the factors of 6699
:1,3,7,11,21,29,33,77,87,203,231,319,609,957,2233,6699
Now, list down the factors of 1619
:1,1619
Greatest Common Factor
We found the factors 6699,1619 . The biggest common factor number is the GCF number.
So the greatest common factor 6699,1619 is 1.
Lets's calculate LCM of 642,8649
| 3 | 642, 8649 |
| 214, 2883 |
∴ So the LCM of the given numbers is 3 x 214 x 2883 = 1850886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1850886
Therefore, the GCF of Fractions 6699/642,1619/8649 is 1/1850886
Least Common Multiple of 642,8649 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 642,8649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,8649) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,8649) x common factors =3 x 1 = 3
LCM(642,8649) = ( 642 × 8649 ) / 3
LCM(642,8649) = 5552658 / 3
LCM(642,8649) = 1850886
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FAQs on GCF of Fractions of 6699/642, 1619/8649
1. What is the HCF of 6699,1619?
The HCF of 6699,1619 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 6699/642, 1619/8649?
Answer: GCF of Numerators as per given numbers 6699/642, 1619/8649 is
GCF of Numerators i.e. for 6699,1619 is 1
LCM of denominators i.e. for 642,8649 is 1850886.
Thus, GCF of Fractions is 1/1850886.Finally, GCF of Fractions for 6699/642, 1619/8649 is 1/1850886.