GCF of 5525/640, 8240/7356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5525/640, 8240/7356 i.e 5/1176960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5525/640, 8240/7356.
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 5525/640,8240/7356?
Given fractions are 5525/640,8240/7356
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 5525/640,8240/7356, numerators are 5525,8240
Denominators are 640,7356
The GCF of 5525,8240 is 5 .
LCM of 640,7356 is 1176960.
The greatest common factor of 5525/640,8240/7356 = [GCF of 5525,8240]/[LCM of 640,7356]= 5/1176960
Therefore, the GCF of 5525/640,8240/7356 is 5/1176960.
To find the highest common factor of 5525,8240, we have to find the factors of both numbers and list the highest common factor.
The factors of 5525 are 1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105, 5525
The factors of 8240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240
The HCF of 5525,8240 is 5.
Lets's calculate GCF of 5525,8240
| 5 | 5525, 8240 |
| 1105, 1648 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5525,8240 By Matching Biggest Common Factor Method
Now, list down the factors of 5525
:1,5,13,17,25,65,85,221,325,425,1105,5525
Now, list down the factors of 8240
:1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240
Greatest Common Factor
We found the factors 5525,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 5525,8240 is 5.
Lets's calculate LCM of 640,7356
| 2 | 640, 7356 |
| 2 | 320, 3678 |
| 160, 1839 |
∴ So the LCM of the given numbers is 2 x 2 x 160 x 1839 = 1176960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1176960
Therefore, the GCF of Fractions 5525/640,8240/7356 is 5/1176960
Least Common Multiple of 640,7356 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 640,7356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,7356) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(640,7356) x common factors =4 x 1 = 4
LCM(640,7356) = ( 640 × 7356 ) / 4
LCM(640,7356) = 4707840 / 4
LCM(640,7356) = 1176960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5525/640, 8240/7356
1. What is the HCF of 5525,8240?
The HCF of 5525,8240 is 5
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 5525/640, 8240/7356?
Answer: GCF of Numerators as per given numbers 5525/640, 8240/7356 is
GCF of Numerators i.e. for 5525,8240 is 5
LCM of denominators i.e. for 640,7356 is 1176960.
Thus, GCF of Fractions is 5/1176960.Finally, GCF of Fractions for 5525/640, 8240/7356 is 5/1176960.