GCF of 6743/482, 1624/2466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6743/482, 1624/2466 i.e 1/594306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6743/482, 1624/2466.
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 6743/482,1624/2466?
Given fractions are 6743/482,1624/2466
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 6743/482,1624/2466, numerators are 6743,1624
Denominators are 482,2466
The GCF of 6743,1624 is 1 .
LCM of 482,2466 is 594306.
The greatest common factor of 6743/482,1624/2466 = [GCF of 6743,1624]/[LCM of 482,2466]= 1/594306
Therefore, the GCF of 6743/482,1624/2466 is 1/594306.
To find the highest common factor of 6743,1624, we have to find the factors of both numbers and list the highest common factor.
The factors of 6743 are 1, 11, 613, 6743
The factors of 1624 are 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624
The HCF of 6743,1624 is 1.
Lets's calculate GCF of 6743,1624
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6743,1624 By Matching Biggest Common Factor Method
Now, list down the factors of 6743
:1,11,613,6743
Now, list down the factors of 1624
:1,2,4,7,8,14,28,29,56,58,116,203,232,406,812,1624
Greatest Common Factor
We found the factors 6743,1624 . The biggest common factor number is the GCF number.
So the greatest common factor 6743,1624 is 1.
Lets's calculate LCM of 482,2466
| 2 | 482, 2466 |
| 241, 1233 |
∴ So the LCM of the given numbers is 2 x 241 x 1233 = 594306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594306
Therefore, the GCF of Fractions 6743/482,1624/2466 is 1/594306
Least Common Multiple of 482,2466 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 482,2466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,2466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,2466) x common factors =2 x 1 = 2
LCM(482,2466) = ( 482 × 2466 ) / 2
LCM(482,2466) = 1188612 / 2
LCM(482,2466) = 594306
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6743/482, 1624/2466
1. What is the HCF of 6743,1624?
The HCF of 6743,1624 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 6743/482, 1624/2466?
Answer: GCF of Numerators as per given numbers 6743/482, 1624/2466 is
GCF of Numerators i.e. for 6743,1624 is 1
LCM of denominators i.e. for 482,2466 is 594306.
Thus, GCF of Fractions is 1/594306.Finally, GCF of Fractions for 6743/482, 1624/2466 is 1/594306.