GCF of 3399/648, 1642/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3399/648, 1642/674 i.e 1/218376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3399/648, 1642/674.
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 3399/648,1642/674?
Given fractions are 3399/648,1642/674
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 3399/648,1642/674, numerators are 3399,1642
Denominators are 648,674
The GCF of 3399,1642 is 1 .
LCM of 648,674 is 218376.
The greatest common factor of 3399/648,1642/674 = [GCF of 3399,1642]/[LCM of 648,674]= 1/218376
Therefore, the GCF of 3399/648,1642/674 is 1/218376.
To find the highest common factor of 3399,1642, we have to find the factors of both numbers and list the highest common factor.
The factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399
The factors of 1642 are 1, 2, 821, 1642
The HCF of 3399,1642 is 1.
Lets's calculate GCF of 3399,1642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3399,1642 By Matching Biggest Common Factor Method
Now, list down the factors of 3399
:1,3,11,33,103,309,1133,3399
Now, list down the factors of 1642
:1,2,821,1642
Greatest Common Factor
We found the factors 3399,1642 . The biggest common factor number is the GCF number.
So the greatest common factor 3399,1642 is 1.
Lets's calculate LCM of 648,674
| 2 | 648, 674 |
| 324, 337 |
∴ So the LCM of the given numbers is 2 x 324 x 337 = 218376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218376
Therefore, the GCF of Fractions 3399/648,1642/674 is 1/218376
Least Common Multiple of 648,674 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 648,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(648,674) x common factors =2 x 1 = 2
LCM(648,674) = ( 648 × 674 ) / 2
LCM(648,674) = 436752 / 2
LCM(648,674) = 218376
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FAQs on GCF of Fractions of 3399/648, 1642/674
1. What is the HCF of 3399,1642?
The HCF of 3399,1642 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 3399/648, 1642/674?
Answer: GCF of Numerators as per given numbers 3399/648, 1642/674 is
GCF of Numerators i.e. for 3399,1642 is 1
LCM of denominators i.e. for 648,674 is 218376.
Thus, GCF of Fractions is 1/218376.Finally, GCF of Fractions for 3399/648, 1642/674 is 1/218376.