GCF of 8418/924, 5613/1215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8418/924, 5613/1215 i.e 3/374220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8418/924, 5613/1215.
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 8418/924,5613/1215?
Given fractions are 8418/924,5613/1215
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 8418/924,5613/1215, numerators are 8418,5613
Denominators are 924,1215
The GCF of 8418,5613 is 3 .
LCM of 924,1215 is 374220.
The greatest common factor of 8418/924,5613/1215 = [GCF of 8418,5613]/[LCM of 924,1215]= 3/374220
Therefore, the GCF of 8418/924,5613/1215 is 3/374220.
To find the highest common factor of 8418,5613, we have to find the factors of both numbers and list the highest common factor.
The factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418
The factors of 5613 are 1, 3, 1871, 5613
The HCF of 8418,5613 is 3.
Lets's calculate GCF of 8418,5613
| 3 | 8418, 5613 |
| 2806, 1871 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8418,5613 By Matching Biggest Common Factor Method
Now, list down the factors of 8418
:1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418
Now, list down the factors of 5613
:1,3,1871,5613
Greatest Common Factor
We found the factors 8418,5613 . The biggest common factor number is the GCF number.
So the greatest common factor 8418,5613 is 3.
Lets's calculate LCM of 924,1215
| 3 | 924, 1215 |
| 308, 405 |
∴ So the LCM of the given numbers is 3 x 308 x 405 = 374220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/374220
Therefore, the GCF of Fractions 8418/924,5613/1215 is 3/374220
Least Common Multiple of 924,1215 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 924,1215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,1215) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(924,1215) x common factors =3 x 1 = 3
LCM(924,1215) = ( 924 × 1215 ) / 3
LCM(924,1215) = 1122660 / 3
LCM(924,1215) = 374220
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FAQs on GCF of Fractions of 8418/924, 5613/1215
1. What is the HCF of 8418,5613?
The HCF of 8418,5613 is 3
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 8418/924, 5613/1215?
Answer: GCF of Numerators as per given numbers 8418/924, 5613/1215 is
GCF of Numerators i.e. for 8418,5613 is 3
LCM of denominators i.e. for 924,1215 is 374220.
Thus, GCF of Fractions is 3/374220.Finally, GCF of Fractions for 8418/924, 5613/1215 is 3/374220.