GCF of 4815/646, 7221/8179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4815/646, 7221/8179 i.e 3/5283634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4815/646, 7221/8179.
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 4815/646,7221/8179?
Given fractions are 4815/646,7221/8179
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 4815/646,7221/8179, numerators are 4815,7221
Denominators are 646,8179
The GCF of 4815,7221 is 3 .
LCM of 646,8179 is 5283634.
The greatest common factor of 4815/646,7221/8179 = [GCF of 4815,7221]/[LCM of 646,8179]= 3/5283634
Therefore, the GCF of 4815/646,7221/8179 is 3/5283634.
To find the highest common factor of 4815,7221, we have to find the factors of both numbers and list the highest common factor.
The factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815
The factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221
The HCF of 4815,7221 is 3.
Lets's calculate GCF of 4815,7221
| 3 | 4815, 7221 |
| 1605, 2407 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4815,7221 By Matching Biggest Common Factor Method
Now, list down the factors of 4815
:1,3,5,9,15,45,107,321,535,963,1605,4815
Now, list down the factors of 7221
:1,3,29,83,87,249,2407,7221
Greatest Common Factor
We found the factors 4815,7221 . The biggest common factor number is the GCF number.
So the greatest common factor 4815,7221 is 3.
Lets's calculate LCM of 646,8179
Given numbers has no common factors except 1. So, there LCM is their product i.e 5283634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5283634
Therefore, the GCF of Fractions 4815/646,7221/8179 is 3/5283634
Least Common Multiple of 646,8179 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 646,8179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,8179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,8179) x common factors =1 x 1 = 1
LCM(646,8179) = ( 646 × 8179 ) / 1
LCM(646,8179) = 5283634 / 1
LCM(646,8179) = 5283634
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FAQs on GCF of Fractions of 4815/646, 7221/8179
1. What is the HCF of 4815,7221?
The HCF of 4815,7221 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 4815/646, 7221/8179?
Answer: GCF of Numerators as per given numbers 4815/646, 7221/8179 is
GCF of Numerators i.e. for 4815,7221 is 3
LCM of denominators i.e. for 646,8179 is 5283634.
Thus, GCF of Fractions is 3/5283634.Finally, GCF of Fractions for 4815/646, 7221/8179 is 3/5283634.