GCF of 7024/524, 5232/6226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7024/524, 5232/6226 i.e 16/1631212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7024/524, 5232/6226.
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 7024/524,5232/6226?
Given fractions are 7024/524,5232/6226
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 7024/524,5232/6226, numerators are 7024,5232
Denominators are 524,6226
The GCF of 7024,5232 is 16 .
LCM of 524,6226 is 1631212.
The greatest common factor of 7024/524,5232/6226 = [GCF of 7024,5232]/[LCM of 524,6226]= 16/1631212
Therefore, the GCF of 7024/524,5232/6226 is 16/1631212.
To find the highest common factor of 7024,5232, we have to find the factors of both numbers and list the highest common factor.
The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024
The factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232
The HCF of 7024,5232 is 16.
Lets's calculate GCF of 7024,5232
| 2 | 7024, 5232 |
| 2 | 3512, 2616 |
| 2 | 1756, 1308 |
| 2 | 878, 654 |
| 439, 327 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7024,5232 By Matching Biggest Common Factor Method
Now, list down the factors of 7024
:1,2,4,8,16,439,878,1756,3512,7024
Now, list down the factors of 5232
:1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
Greatest Common Factor
We found the factors 7024,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 7024,5232 is 16.
Lets's calculate LCM of 524,6226
| 2 | 524, 6226 |
| 262, 3113 |
∴ So the LCM of the given numbers is 2 x 262 x 3113 = 1631212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1631212
Therefore, the GCF of Fractions 7024/524,5232/6226 is 16/1631212
Least Common Multiple of 524,6226 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 524,6226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,6226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,6226) x common factors =2 x 1 = 2
LCM(524,6226) = ( 524 × 6226 ) / 2
LCM(524,6226) = 3262424 / 2
LCM(524,6226) = 1631212
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FAQs on GCF of Fractions of 7024/524, 5232/6226
1. What is the HCF of 7024,5232?
The HCF of 7024,5232 is 16
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 7024/524, 5232/6226?
Answer: GCF of Numerators as per given numbers 7024/524, 5232/6226 is
GCF of Numerators i.e. for 7024,5232 is 16
LCM of denominators i.e. for 524,6226 is 1631212.
Thus, GCF of Fractions is 16/1631212.Finally, GCF of Fractions for 7024/524, 5232/6226 is 16/1631212.