GCF of 3423/628, 9281/8386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3423/628, 9281/8386 i.e 1/2633204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3423/628, 9281/8386.
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 3423/628,9281/8386?
Given fractions are 3423/628,9281/8386
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 3423/628,9281/8386, numerators are 3423,9281
Denominators are 628,8386
The GCF of 3423,9281 is 1 .
LCM of 628,8386 is 2633204.
The greatest common factor of 3423/628,9281/8386 = [GCF of 3423,9281]/[LCM of 628,8386]= 1/2633204
Therefore, the GCF of 3423/628,9281/8386 is 1/2633204.
To find the highest common factor of 3423,9281, we have to find the factors of both numbers and list the highest common factor.
The factors of 3423 are 1, 3, 7, 21, 163, 489, 1141, 3423
The factors of 9281 are 1, 9281
The HCF of 3423,9281 is 1.
Lets's calculate GCF of 3423,9281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3423,9281 By Matching Biggest Common Factor Method
Now, list down the factors of 3423
:1,3,7,21,163,489,1141,3423
Now, list down the factors of 9281
:1,9281
Greatest Common Factor
We found the factors 3423,9281 . The biggest common factor number is the GCF number.
So the greatest common factor 3423,9281 is 1.
Lets's calculate LCM of 628,8386
| 2 | 628, 8386 |
| 314, 4193 |
∴ So the LCM of the given numbers is 2 x 314 x 4193 = 2633204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2633204
Therefore, the GCF of Fractions 3423/628,9281/8386 is 1/2633204
Least Common Multiple of 628,8386 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 628,8386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,8386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(628,8386) x common factors =2 x 1 = 2
LCM(628,8386) = ( 628 × 8386 ) / 2
LCM(628,8386) = 5266408 / 2
LCM(628,8386) = 2633204
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FAQs on GCF of Fractions of 3423/628, 9281/8386
1. What is the HCF of 3423,9281?
The HCF of 3423,9281 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 3423/628, 9281/8386?
Answer: GCF of Numerators as per given numbers 3423/628, 9281/8386 is
GCF of Numerators i.e. for 3423,9281 is 1
LCM of denominators i.e. for 628,8386 is 2633204.
Thus, GCF of Fractions is 1/2633204.Finally, GCF of Fractions for 3423/628, 9281/8386 is 1/2633204.