GCF of 3610/280, 8720/5929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3610/280, 8720/5929 i.e 10/237160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3610/280, 8720/5929.
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 3610/280,8720/5929?
Given fractions are 3610/280,8720/5929
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 3610/280,8720/5929, numerators are 3610,8720
Denominators are 280,5929
The GCF of 3610,8720 is 10 .
LCM of 280,5929 is 237160.
The greatest common factor of 3610/280,8720/5929 = [GCF of 3610,8720]/[LCM of 280,5929]= 10/237160
Therefore, the GCF of 3610/280,8720/5929 is 10/237160.
To find the highest common factor of 3610,8720, we have to find the factors of both numbers and list the highest common factor.
The factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610
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 HCF of 3610,8720 is 10.
Lets's calculate GCF of 3610,8720
| 2 | 3610, 8720 |
| 5 | 1805, 4360 |
| 361, 872 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3610,8720 By Matching Biggest Common Factor Method
Now, list down the factors of 3610
:1,2,5,10,19,38,95,190,361,722,1805,3610
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
Greatest Common Factor
We found the factors 3610,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 3610,8720 is 10.
Lets's calculate LCM of 280,5929
| 7 | 280, 5929 |
| 40, 847 |
∴ So the LCM of the given numbers is 7 x 40 x 847 = 237160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/237160
Therefore, the GCF of Fractions 3610/280,8720/5929 is 10/237160
Least Common Multiple of 280,5929 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 280,5929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,5929) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(280,5929) x common factors =7 x 1 = 7
LCM(280,5929) = ( 280 × 5929 ) / 7
LCM(280,5929) = 1660120 / 7
LCM(280,5929) = 237160
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FAQs on GCF of Fractions of 3610/280, 8720/5929
1. What is the HCF of 3610,8720?
The HCF of 3610,8720 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 3610/280, 8720/5929?
Answer: GCF of Numerators as per given numbers 3610/280, 8720/5929 is
GCF of Numerators i.e. for 3610,8720 is 10
LCM of denominators i.e. for 280,5929 is 237160.
Thus, GCF of Fractions is 10/237160.Finally, GCF of Fractions for 3610/280, 8720/5929 is 10/237160.