GCF of 8064/724, 4221/503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8064/724, 4221/503 i.e 63/364172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8064/724, 4221/503.
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 8064/724,4221/503?
Given fractions are 8064/724,4221/503
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 8064/724,4221/503, numerators are 8064,4221
Denominators are 724,503
The GCF of 8064,4221 is 63 .
LCM of 724,503 is 364172.
The greatest common factor of 8064/724,4221/503 = [GCF of 8064,4221]/[LCM of 724,503]= 63/364172
Therefore, the GCF of 8064/724,4221/503 is 63/364172.
To find the highest common factor of 8064,4221, we have to find the factors of both numbers and list the highest common factor.
The factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064
The factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
The HCF of 8064,4221 is 63.
Lets's calculate GCF of 8064,4221
| 3 | 8064, 4221 |
| 3 | 2688, 1407 |
| 7 | 896, 469 |
| 128, 67 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 8064,4221 By Matching Biggest Common Factor Method
Now, list down the factors of 8064
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064
Now, list down the factors of 4221
:1,3,7,9,21,63,67,201,469,603,1407,4221
Greatest Common Factor
We found the factors 8064,4221 . The biggest common factor number is the GCF number.
So the greatest common factor 8064,4221 is 63.
Lets's calculate LCM of 724,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 364172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/364172
Therefore, the GCF of Fractions 8064/724,4221/503 is 63/364172
Least Common Multiple of 724,503 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 724,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,503) x common factors =1 x 1 = 1
LCM(724,503) = ( 724 × 503 ) / 1
LCM(724,503) = 364172 / 1
LCM(724,503) = 364172
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8064/724, 4221/503
1. What is the HCF of 8064,4221?
The HCF of 8064,4221 is 63
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 8064/724, 4221/503?
Answer: GCF of Numerators as per given numbers 8064/724, 4221/503 is
GCF of Numerators i.e. for 8064,4221 is 63
LCM of denominators i.e. for 724,503 is 364172.
Thus, GCF of Fractions is 63/364172.Finally, GCF of Fractions for 8064/724, 4221/503 is 63/364172.