GCF of 7180/980, 8165/2644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7180/980, 8165/2644 i.e 5/647780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7180/980, 8165/2644.
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 7180/980,8165/2644?
Given fractions are 7180/980,8165/2644
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 7180/980,8165/2644, numerators are 7180,8165
Denominators are 980,2644
The GCF of 7180,8165 is 5 .
LCM of 980,2644 is 647780.
The greatest common factor of 7180/980,8165/2644 = [GCF of 7180,8165]/[LCM of 980,2644]= 5/647780
Therefore, the GCF of 7180/980,8165/2644 is 5/647780.
To find the highest common factor of 7180,8165, we have to find the factors of both numbers and list the highest common factor.
The factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180
The factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165
The HCF of 7180,8165 is 5.
Lets's calculate GCF of 7180,8165
| 5 | 7180, 8165 |
| 1436, 1633 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7180,8165 By Matching Biggest Common Factor Method
Now, list down the factors of 7180
:1,2,4,5,10,20,359,718,1436,1795,3590,7180
Now, list down the factors of 8165
:1,5,23,71,115,355,1633,8165
Greatest Common Factor
We found the factors 7180,8165 . The biggest common factor number is the GCF number.
So the greatest common factor 7180,8165 is 5.
Lets's calculate LCM of 980,2644
| 2 | 980, 2644 |
| 2 | 490, 1322 |
| 245, 661 |
∴ So the LCM of the given numbers is 2 x 2 x 245 x 661 = 647780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/647780
Therefore, the GCF of Fractions 7180/980,8165/2644 is 5/647780
Least Common Multiple of 980,2644 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 980,2644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,2644) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(980,2644) x common factors =4 x 1 = 4
LCM(980,2644) = ( 980 × 2644 ) / 4
LCM(980,2644) = 2591120 / 4
LCM(980,2644) = 647780
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FAQs on GCF of Fractions of 7180/980, 8165/2644
1. What is the HCF of 7180,8165?
The HCF of 7180,8165 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 7180/980, 8165/2644?
Answer: GCF of Numerators as per given numbers 7180/980, 8165/2644 is
GCF of Numerators i.e. for 7180,8165 is 5
LCM of denominators i.e. for 980,2644 is 647780.
Thus, GCF of Fractions is 5/647780.Finally, GCF of Fractions for 7180/980, 8165/2644 is 5/647780.