GCF of 7724/622, 5218/8322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7724/622, 5218/8322 i.e 2/2588142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7724/622, 5218/8322.
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 7724/622,5218/8322?
Given fractions are 7724/622,5218/8322
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 7724/622,5218/8322, numerators are 7724,5218
Denominators are 622,8322
The GCF of 7724,5218 is 2 .
LCM of 622,8322 is 2588142.
The greatest common factor of 7724/622,5218/8322 = [GCF of 7724,5218]/[LCM of 622,8322]= 2/2588142
Therefore, the GCF of 7724/622,5218/8322 is 2/2588142.
To find the highest common factor of 7724,5218, we have to find the factors of both numbers and list the highest common factor.
The factors of 7724 are 1, 2, 4, 1931, 3862, 7724
The factors of 5218 are 1, 2, 2609, 5218
The HCF of 7724,5218 is 2.
Lets's calculate GCF of 7724,5218
| 2 | 7724, 5218 |
| 3862, 2609 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7724,5218 By Matching Biggest Common Factor Method
Now, list down the factors of 7724
:1,2,4,1931,3862,7724
Now, list down the factors of 5218
:1,2,2609,5218
Greatest Common Factor
We found the factors 7724,5218 . The biggest common factor number is the GCF number.
So the greatest common factor 7724,5218 is 2.
Lets's calculate LCM of 622,8322
| 2 | 622, 8322 |
| 311, 4161 |
∴ So the LCM of the given numbers is 2 x 311 x 4161 = 2588142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2588142
Therefore, the GCF of Fractions 7724/622,5218/8322 is 2/2588142
Least Common Multiple of 622,8322 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 622,8322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,8322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,8322) x common factors =2 x 1 = 2
LCM(622,8322) = ( 622 × 8322 ) / 2
LCM(622,8322) = 5176284 / 2
LCM(622,8322) = 2588142
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FAQs on GCF of Fractions of 7724/622, 5218/8322
1. What is the HCF of 7724,5218?
The HCF of 7724,5218 is 2
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 7724/622, 5218/8322?
Answer: GCF of Numerators as per given numbers 7724/622, 5218/8322 is
GCF of Numerators i.e. for 7724,5218 is 2
LCM of denominators i.e. for 622,8322 is 2588142.
Thus, GCF of Fractions is 2/2588142.Finally, GCF of Fractions for 7724/622, 5218/8322 is 2/2588142.