GCF of 8464/465, 7213/8029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8464/465, 7213/8029 i.e 1/120435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8464/465, 7213/8029.
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 8464/465,7213/8029?
Given fractions are 8464/465,7213/8029
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 8464/465,7213/8029, numerators are 8464,7213
Denominators are 465,8029
The GCF of 8464,7213 is 1 .
LCM of 465,8029 is 120435.
The greatest common factor of 8464/465,7213/8029 = [GCF of 8464,7213]/[LCM of 465,8029]= 1/120435
Therefore, the GCF of 8464/465,7213/8029 is 1/120435.
To find the highest common factor of 8464,7213, we have to find the factors of both numbers and list the highest common factor.
The factors of 8464 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464
The factors of 7213 are 1, 7213
The HCF of 8464,7213 is 1.
Lets's calculate GCF of 8464,7213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8464,7213 By Matching Biggest Common Factor Method
Now, list down the factors of 8464
:1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464
Now, list down the factors of 7213
:1,7213
Greatest Common Factor
We found the factors 8464,7213 . The biggest common factor number is the GCF number.
So the greatest common factor 8464,7213 is 1.
Lets's calculate LCM of 465,8029
| 31 | 465, 8029 |
| 15, 259 |
∴ So the LCM of the given numbers is 31 x 15 x 259 = 120435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120435
Therefore, the GCF of Fractions 8464/465,7213/8029 is 1/120435
Least Common Multiple of 465,8029 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 465,8029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,8029) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(465,8029) x common factors =31 x 1 = 31
LCM(465,8029) = ( 465 × 8029 ) / 31
LCM(465,8029) = 3733485 / 31
LCM(465,8029) = 120435
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FAQs on GCF of Fractions of 8464/465, 7213/8029
1. What is the HCF of 8464,7213?
The HCF of 8464,7213 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 8464/465, 7213/8029?
Answer: GCF of Numerators as per given numbers 8464/465, 7213/8029 is
GCF of Numerators i.e. for 8464,7213 is 1
LCM of denominators i.e. for 465,8029 is 120435.
Thus, GCF of Fractions is 1/120435.Finally, GCF of Fractions for 8464/465, 7213/8029 is 1/120435.