GCF of 324/469, 3469/7276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/469, 3469/7276 i.e 1/3412444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/469, 3469/7276.
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 324/469,3469/7276?
Given fractions are 324/469,3469/7276
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 324/469,3469/7276, numerators are 324,3469
Denominators are 469,7276
The GCF of 324,3469 is 1 .
LCM of 469,7276 is 3412444.
The greatest common factor of 324/469,3469/7276 = [GCF of 324,3469]/[LCM of 469,7276]= 1/3412444
Therefore, the GCF of 324/469,3469/7276 is 1/3412444.
To find the highest common factor of 324,3469, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 3469 are 1, 3469
The HCF of 324,3469 is 1.
Lets's calculate GCF of 324,3469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 324,3469 By Matching Biggest Common Factor Method
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 3469
:1,3469
Greatest Common Factor
We found the factors 324,3469 . The biggest common factor number is the GCF number.
So the greatest common factor 324,3469 is 1.
Lets's calculate LCM of 469,7276
Given numbers has no common factors except 1. So, there LCM is their product i.e 3412444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3412444
Therefore, the GCF of Fractions 324/469,3469/7276 is 1/3412444
Least Common Multiple of 469,7276 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 469,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,7276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,7276) x common factors =1 x 1 = 1
LCM(469,7276) = ( 469 × 7276 ) / 1
LCM(469,7276) = 3412444 / 1
LCM(469,7276) = 3412444
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FAQs on GCF of Fractions of 324/469, 3469/7276
1. What is the HCF of 324,3469?
The HCF of 324,3469 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 324/469, 3469/7276?
Answer: GCF of Numerators as per given numbers 324/469, 3469/7276 is
GCF of Numerators i.e. for 324,3469 is 1
LCM of denominators i.e. for 469,7276 is 3412444.
Thus, GCF of Fractions is 1/3412444.Finally, GCF of Fractions for 324/469, 3469/7276 is 1/3412444.