GCF of 8665/868, 1540/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8665/868, 1540/721 i.e 5/89404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8665/868, 1540/721.
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 8665/868,1540/721?
Given fractions are 8665/868,1540/721
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 8665/868,1540/721, numerators are 8665,1540
Denominators are 868,721
The GCF of 8665,1540 is 5 .
LCM of 868,721 is 89404.
The greatest common factor of 8665/868,1540/721 = [GCF of 8665,1540]/[LCM of 868,721]= 5/89404
Therefore, the GCF of 8665/868,1540/721 is 5/89404.
To find the highest common factor of 8665,1540, we have to find the factors of both numbers and list the highest common factor.
The factors of 8665 are 1, 5, 1733, 8665
The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540
The HCF of 8665,1540 is 5.
Lets's calculate GCF of 8665,1540
| 5 | 8665, 1540 |
| 1733, 308 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8665,1540 By Matching Biggest Common Factor Method
Now, list down the factors of 8665
:1,5,1733,8665
Now, list down the factors of 1540
:1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540
Greatest Common Factor
We found the factors 8665,1540 . The biggest common factor number is the GCF number.
So the greatest common factor 8665,1540 is 5.
Lets's calculate LCM of 868,721
| 7 | 868, 721 |
| 124, 103 |
∴ So the LCM of the given numbers is 7 x 124 x 103 = 89404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/89404
Therefore, the GCF of Fractions 8665/868,1540/721 is 5/89404
Least Common Multiple of 868,721 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 868,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,721) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(868,721) x common factors =7 x 1 = 7
LCM(868,721) = ( 868 × 721 ) / 7
LCM(868,721) = 625828 / 7
LCM(868,721) = 89404
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FAQs on GCF of Fractions of 8665/868, 1540/721
1. What is the HCF of 8665,1540?
The HCF of 8665,1540 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 8665/868, 1540/721?
Answer: GCF of Numerators as per given numbers 8665/868, 1540/721 is
GCF of Numerators i.e. for 8665,1540 is 5
LCM of denominators i.e. for 868,721 is 89404.
Thus, GCF of Fractions is 5/89404.Finally, GCF of Fractions for 8665/868, 1540/721 is 5/89404.