GCF of 7627/720, 5221/8154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7627/720, 5221/8154 i.e 1/326160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7627/720, 5221/8154.
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 7627/720,5221/8154?
Given fractions are 7627/720,5221/8154
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 7627/720,5221/8154, numerators are 7627,5221
Denominators are 720,8154
The GCF of 7627,5221 is 1 .
LCM of 720,8154 is 326160.
The greatest common factor of 7627/720,5221/8154 = [GCF of 7627,5221]/[LCM of 720,8154]= 1/326160
Therefore, the GCF of 7627/720,5221/8154 is 1/326160.
To find the highest common factor of 7627,5221, we have to find the factors of both numbers and list the highest common factor.
The factors of 7627 are 1, 29, 263, 7627
The factors of 5221 are 1, 23, 227, 5221
The HCF of 7627,5221 is 1.
Lets's calculate GCF of 7627,5221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7627,5221 By Matching Biggest Common Factor Method
Now, list down the factors of 7627
:1,29,263,7627
Now, list down the factors of 5221
:1,23,227,5221
Greatest Common Factor
We found the factors 7627,5221 . The biggest common factor number is the GCF number.
So the greatest common factor 7627,5221 is 1.
Lets's calculate LCM of 720,8154
| 2 | 720, 8154 |
| 3 | 360, 4077 |
| 3 | 120, 1359 |
| 40, 453 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 40 x 453 = 326160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326160
Therefore, the GCF of Fractions 7627/720,5221/8154 is 1/326160
Least Common Multiple of 720,8154 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 720,8154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,8154) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(720,8154) x common factors =18 x 1 = 18
LCM(720,8154) = ( 720 × 8154 ) / 18
LCM(720,8154) = 5870880 / 18
LCM(720,8154) = 326160
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FAQs on GCF of Fractions of 7627/720, 5221/8154
1. What is the HCF of 7627,5221?
The HCF of 7627,5221 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 7627/720, 5221/8154?
Answer: GCF of Numerators as per given numbers 7627/720, 5221/8154 is
GCF of Numerators i.e. for 7627,5221 is 1
LCM of denominators i.e. for 720,8154 is 326160.
Thus, GCF of Fractions is 1/326160.Finally, GCF of Fractions for 7627/720, 5221/8154 is 1/326160.