GCF of 2169/810, 6220/9059
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2169/810, 6220/9059 i.e 1/7337790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2169/810, 6220/9059.
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 2169/810,6220/9059?
Given fractions are 2169/810,6220/9059
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 2169/810,6220/9059, numerators are 2169,6220
Denominators are 810,9059
The GCF of 2169,6220 is 1 .
LCM of 810,9059 is 7337790.
The greatest common factor of 2169/810,6220/9059 = [GCF of 2169,6220]/[LCM of 810,9059]= 1/7337790
Therefore, the GCF of 2169/810,6220/9059 is 1/7337790.
To find the highest common factor of 2169,6220, we have to find the factors of both numbers and list the highest common factor.
The factors of 2169 are 1, 3, 9, 241, 723, 2169
The factors of 6220 are 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220
The HCF of 2169,6220 is 1.
Lets's calculate GCF of 2169,6220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2169,6220 By Matching Biggest Common Factor Method
Now, list down the factors of 2169
:1,3,9,241,723,2169
Now, list down the factors of 6220
:1,2,4,5,10,20,311,622,1244,1555,3110,6220
Greatest Common Factor
We found the factors 2169,6220 . The biggest common factor number is the GCF number.
So the greatest common factor 2169,6220 is 1.
Lets's calculate LCM of 810,9059
Given numbers has no common factors except 1. So, there LCM is their product i.e 7337790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7337790
Therefore, the GCF of Fractions 2169/810,6220/9059 is 1/7337790
Least Common Multiple of 810,9059 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 810,9059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,9059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,9059) x common factors =1 x 1 = 1
LCM(810,9059) = ( 810 × 9059 ) / 1
LCM(810,9059) = 7337790 / 1
LCM(810,9059) = 7337790
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FAQs on GCF of Fractions of 2169/810, 6220/9059
1. What is the HCF of 2169,6220?
The HCF of 2169,6220 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 2169/810, 6220/9059?
Answer: GCF of Numerators as per given numbers 2169/810, 6220/9059 is
GCF of Numerators i.e. for 2169,6220 is 1
LCM of denominators i.e. for 810,9059 is 7337790.
Thus, GCF of Fractions is 1/7337790.Finally, GCF of Fractions for 2169/810, 6220/9059 is 1/7337790.