GCF of 9009/972, 2176/599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9009/972, 2176/599 i.e 1/582228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9009/972, 2176/599.
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 9009/972,2176/599?
Given fractions are 9009/972,2176/599
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 9009/972,2176/599, numerators are 9009,2176
Denominators are 972,599
The GCF of 9009,2176 is 1 .
LCM of 972,599 is 582228.
The greatest common factor of 9009/972,2176/599 = [GCF of 9009,2176]/[LCM of 972,599]= 1/582228
Therefore, the GCF of 9009/972,2176/599 is 1/582228.
To find the highest common factor of 9009,2176, 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 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The HCF of 9009,2176 is 1.
Lets's calculate GCF of 9009,2176
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9009,2176 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 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Greatest Common Factor
We found the factors 9009,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 9009,2176 is 1.
Lets's calculate LCM of 972,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 582228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582228
Therefore, the GCF of Fractions 9009/972,2176/599 is 1/582228
Least Common Multiple of 972,599 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 972,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,599) x common factors =1 x 1 = 1
LCM(972,599) = ( 972 × 599 ) / 1
LCM(972,599) = 582228 / 1
LCM(972,599) = 582228
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FAQs on GCF of Fractions of 9009/972, 2176/599
1. What is the HCF of 9009,2176?
The HCF of 9009,2176 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 9009/972, 2176/599?
Answer: GCF of Numerators as per given numbers 9009/972, 2176/599 is
GCF of Numerators i.e. for 9009,2176 is 1
LCM of denominators i.e. for 972,599 is 582228.
Thus, GCF of Fractions is 1/582228.Finally, GCF of Fractions for 9009/972, 2176/599 is 1/582228.