GCF of 9231/649, 3242/2977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9231/649, 3242/2977 i.e 1/1932073 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9231/649, 3242/2977.
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 9231/649,3242/2977?
Given fractions are 9231/649,3242/2977
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 9231/649,3242/2977, numerators are 9231,3242
Denominators are 649,2977
The GCF of 9231,3242 is 1 .
LCM of 649,2977 is 1932073.
The greatest common factor of 9231/649,3242/2977 = [GCF of 9231,3242]/[LCM of 649,2977]= 1/1932073
Therefore, the GCF of 9231/649,3242/2977 is 1/1932073.
To find the highest common factor of 9231,3242, we have to find the factors of both numbers and list the highest common factor.
The factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231
The factors of 3242 are 1, 2, 1621, 3242
The HCF of 9231,3242 is 1.
Lets's calculate GCF of 9231,3242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9231,3242 By Matching Biggest Common Factor Method
Now, list down the factors of 9231
:1,3,17,51,181,543,3077,9231
Now, list down the factors of 3242
:1,2,1621,3242
Greatest Common Factor
We found the factors 9231,3242 . The biggest common factor number is the GCF number.
So the greatest common factor 9231,3242 is 1.
Lets's calculate LCM of 649,2977
Given numbers has no common factors except 1. So, there LCM is their product i.e 1932073
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1932073
Therefore, the GCF of Fractions 9231/649,3242/2977 is 1/1932073
Least Common Multiple of 649,2977 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 649,2977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,2977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,2977) x common factors =1 x 1 = 1
LCM(649,2977) = ( 649 × 2977 ) / 1
LCM(649,2977) = 1932073 / 1
LCM(649,2977) = 1932073
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FAQs on GCF of Fractions of 9231/649, 3242/2977
1. What is the HCF of 9231,3242?
The HCF of 9231,3242 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 9231/649, 3242/2977?
Answer: GCF of Numerators as per given numbers 9231/649, 3242/2977 is
GCF of Numerators i.e. for 9231,3242 is 1
LCM of denominators i.e. for 649,2977 is 1932073.
Thus, GCF of Fractions is 1/1932073.Finally, GCF of Fractions for 9231/649, 3242/2977 is 1/1932073.