GCF of 9059/816, 2670/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9059/816, 2670/164 i.e 1/33456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9059/816, 2670/164.
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 9059/816,2670/164?
Given fractions are 9059/816,2670/164
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 9059/816,2670/164, numerators are 9059,2670
Denominators are 816,164
The GCF of 9059,2670 is 1 .
LCM of 816,164 is 33456.
The greatest common factor of 9059/816,2670/164 = [GCF of 9059,2670]/[LCM of 816,164]= 1/33456
Therefore, the GCF of 9059/816,2670/164 is 1/33456.
To find the highest common factor of 9059,2670, we have to find the factors of both numbers and list the highest common factor.
The factors of 9059 are 1, 9059
The factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670
The HCF of 9059,2670 is 1.
Lets's calculate GCF of 9059,2670
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9059,2670 By Matching Biggest Common Factor Method
Now, list down the factors of 9059
:1,9059
Now, list down the factors of 2670
:1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670
Greatest Common Factor
We found the factors 9059,2670 . The biggest common factor number is the GCF number.
So the greatest common factor 9059,2670 is 1.
Lets's calculate LCM of 816,164
| 2 | 816, 164 |
| 2 | 408, 82 |
| 204, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 204 x 41 = 33456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33456
Therefore, the GCF of Fractions 9059/816,2670/164 is 1/33456
Least Common Multiple of 816,164 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 816,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,164) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(816,164) x common factors =4 x 1 = 4
LCM(816,164) = ( 816 × 164 ) / 4
LCM(816,164) = 133824 / 4
LCM(816,164) = 33456
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FAQs on GCF of Fractions of 9059/816, 2670/164
1. What is the HCF of 9059,2670?
The HCF of 9059,2670 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 9059/816, 2670/164?
Answer: GCF of Numerators as per given numbers 9059/816, 2670/164 is
GCF of Numerators i.e. for 9059,2670 is 1
LCM of denominators i.e. for 816,164 is 33456.
Thus, GCF of Fractions is 1/33456.Finally, GCF of Fractions for 9059/816, 2670/164 is 1/33456.