GCF of 6242/324, 3403/4316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6242/324, 3403/4316 i.e 1/349596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6242/324, 3403/4316.
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 6242/324,3403/4316?
Given fractions are 6242/324,3403/4316
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 6242/324,3403/4316, numerators are 6242,3403
Denominators are 324,4316
The GCF of 6242,3403 is 1 .
LCM of 324,4316 is 349596.
The greatest common factor of 6242/324,3403/4316 = [GCF of 6242,3403]/[LCM of 324,4316]= 1/349596
Therefore, the GCF of 6242/324,3403/4316 is 1/349596.
To find the highest common factor of 6242,3403, we have to find the factors of both numbers and list the highest common factor.
The factors of 6242 are 1, 2, 3121, 6242
The factors of 3403 are 1, 41, 83, 3403
The HCF of 6242,3403 is 1.
Lets's calculate GCF of 6242,3403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6242,3403 By Matching Biggest Common Factor Method
Now, list down the factors of 6242
:1,2,3121,6242
Now, list down the factors of 3403
:1,41,83,3403
Greatest Common Factor
We found the factors 6242,3403 . The biggest common factor number is the GCF number.
So the greatest common factor 6242,3403 is 1.
Lets's calculate LCM of 324,4316
| 2 | 324, 4316 |
| 2 | 162, 2158 |
| 81, 1079 |
∴ So the LCM of the given numbers is 2 x 2 x 81 x 1079 = 349596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349596
Therefore, the GCF of Fractions 6242/324,3403/4316 is 1/349596
Least Common Multiple of 324,4316 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 324,4316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,4316) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(324,4316) x common factors =4 x 1 = 4
LCM(324,4316) = ( 324 × 4316 ) / 4
LCM(324,4316) = 1398384 / 4
LCM(324,4316) = 349596
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FAQs on GCF of Fractions of 6242/324, 3403/4316
1. What is the HCF of 6242,3403?
The HCF of 6242,3403 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 6242/324, 3403/4316?
Answer: GCF of Numerators as per given numbers 6242/324, 3403/4316 is
GCF of Numerators i.e. for 6242,3403 is 1
LCM of denominators i.e. for 324,4316 is 349596.
Thus, GCF of Fractions is 1/349596.Finally, GCF of Fractions for 6242/324, 3403/4316 is 1/349596.