GCF of 8720/584, 6530/1867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8720/584, 6530/1867 i.e 10/1090328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8720/584, 6530/1867.
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 8720/584,6530/1867?
Given fractions are 8720/584,6530/1867
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 8720/584,6530/1867, numerators are 8720,6530
Denominators are 584,1867
The GCF of 8720,6530 is 10 .
LCM of 584,1867 is 1090328.
The greatest common factor of 8720/584,6530/1867 = [GCF of 8720,6530]/[LCM of 584,1867]= 10/1090328
Therefore, the GCF of 8720/584,6530/1867 is 10/1090328.
To find the highest common factor of 8720,6530, we have to find the factors of both numbers and list the highest common factor.
The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720
The factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530
The HCF of 8720,6530 is 10.
Lets's calculate GCF of 8720,6530
| 2 | 8720, 6530 |
| 5 | 4360, 3265 |
| 872, 653 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8720,6530 By Matching Biggest Common Factor Method
Now, list down the factors of 8720
:1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720
Now, list down the factors of 6530
:1,2,5,10,653,1306,3265,6530
Greatest Common Factor
We found the factors 8720,6530 . The biggest common factor number is the GCF number.
So the greatest common factor 8720,6530 is 10.
Lets's calculate LCM of 584,1867
Given numbers has no common factors except 1. So, there LCM is their product i.e 1090328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1090328
Therefore, the GCF of Fractions 8720/584,6530/1867 is 10/1090328
Least Common Multiple of 584,1867 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 584,1867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,1867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,1867) x common factors =1 x 1 = 1
LCM(584,1867) = ( 584 × 1867 ) / 1
LCM(584,1867) = 1090328 / 1
LCM(584,1867) = 1090328
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FAQs on GCF of Fractions of 8720/584, 6530/1867
1. What is the HCF of 8720,6530?
The HCF of 8720,6530 is 10
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 8720/584, 6530/1867?
Answer: GCF of Numerators as per given numbers 8720/584, 6530/1867 is
GCF of Numerators i.e. for 8720,6530 is 10
LCM of denominators i.e. for 584,1867 is 1090328.
Thus, GCF of Fractions is 10/1090328.Finally, GCF of Fractions for 8720/584, 6530/1867 is 10/1090328.