GCF of 9009/977, 2246/1822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9009/977, 2246/1822 i.e 1/1780094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9009/977, 2246/1822.
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 9009/977,2246/1822?
Given fractions are 9009/977,2246/1822
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 9009/977,2246/1822, numerators are 9009,2246
Denominators are 977,1822
The GCF of 9009,2246 is 1 .
LCM of 977,1822 is 1780094.
The greatest common factor of 9009/977,2246/1822 = [GCF of 9009,2246]/[LCM of 977,1822]= 1/1780094
Therefore, the GCF of 9009/977,2246/1822 is 1/1780094.
To find the highest common factor of 9009,2246, we have to find the factors of both numbers and list the highest common factor.
The factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009
The factors of 2246 are 1, 2, 1123, 2246
The HCF of 9009,2246 is 1.
Lets's calculate GCF of 9009,2246
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9009,2246 By Matching Biggest Common Factor Method
Now, list down the factors of 9009
:1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009
Now, list down the factors of 2246
:1,2,1123,2246
Greatest Common Factor
We found the factors 9009,2246 . The biggest common factor number is the GCF number.
So the greatest common factor 9009,2246 is 1.
Lets's calculate LCM of 977,1822
Given numbers has no common factors except 1. So, there LCM is their product i.e 1780094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1780094
Therefore, the GCF of Fractions 9009/977,2246/1822 is 1/1780094
Least Common Multiple of 977,1822 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 977,1822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,1822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,1822) x common factors =1 x 1 = 1
LCM(977,1822) = ( 977 × 1822 ) / 1
LCM(977,1822) = 1780094 / 1
LCM(977,1822) = 1780094
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9009/977, 2246/1822
1. What is the HCF of 9009,2246?
The HCF of 9009,2246 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 9009/977, 2246/1822?
Answer: GCF of Numerators as per given numbers 9009/977, 2246/1822 is
GCF of Numerators i.e. for 9009,2246 is 1
LCM of denominators i.e. for 977,1822 is 1780094.
Thus, GCF of Fractions is 1/1780094.Finally, GCF of Fractions for 9009/977, 2246/1822 is 1/1780094.