GCF of 8605/180, 6442/2823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8605/180, 6442/2823 i.e 1/169380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8605/180, 6442/2823.
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 8605/180,6442/2823?
Given fractions are 8605/180,6442/2823
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 8605/180,6442/2823, numerators are 8605,6442
Denominators are 180,2823
The GCF of 8605,6442 is 1 .
LCM of 180,2823 is 169380.
The greatest common factor of 8605/180,6442/2823 = [GCF of 8605,6442]/[LCM of 180,2823]= 1/169380
Therefore, the GCF of 8605/180,6442/2823 is 1/169380.
To find the highest common factor of 8605,6442, we have to find the factors of both numbers and list the highest common factor.
The factors of 8605 are 1, 5, 1721, 8605
The factors of 6442 are 1, 2, 3221, 6442
The HCF of 8605,6442 is 1.
Lets's calculate GCF of 8605,6442
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8605,6442 By Matching Biggest Common Factor Method
Now, list down the factors of 8605
:1,5,1721,8605
Now, list down the factors of 6442
:1,2,3221,6442
Greatest Common Factor
We found the factors 8605,6442 . The biggest common factor number is the GCF number.
So the greatest common factor 8605,6442 is 1.
Lets's calculate LCM of 180,2823
| 3 | 180, 2823 |
| 60, 941 |
∴ So the LCM of the given numbers is 3 x 60 x 941 = 169380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169380
Therefore, the GCF of Fractions 8605/180,6442/2823 is 1/169380
Least Common Multiple of 180,2823 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 180,2823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,2823) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(180,2823) x common factors =3 x 1 = 3
LCM(180,2823) = ( 180 × 2823 ) / 3
LCM(180,2823) = 508140 / 3
LCM(180,2823) = 169380
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FAQs on GCF of Fractions of 8605/180, 6442/2823
1. What is the HCF of 8605,6442?
The HCF of 8605,6442 is 1
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 8605/180, 6442/2823?
Answer: GCF of Numerators as per given numbers 8605/180, 6442/2823 is
GCF of Numerators i.e. for 8605,6442 is 1
LCM of denominators i.e. for 180,2823 is 169380.
Thus, GCF of Fractions is 1/169380.Finally, GCF of Fractions for 8605/180, 6442/2823 is 1/169380.