GCF of 6439/144, 1166/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6439/144, 1166/233 i.e 1/33552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6439/144, 1166/233.
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 6439/144,1166/233?
Given fractions are 6439/144,1166/233
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 6439/144,1166/233, numerators are 6439,1166
Denominators are 144,233
The GCF of 6439,1166 is 1 .
LCM of 144,233 is 33552.
The greatest common factor of 6439/144,1166/233 = [GCF of 6439,1166]/[LCM of 144,233]= 1/33552
Therefore, the GCF of 6439/144,1166/233 is 1/33552.
To find the highest common factor of 6439,1166, we have to find the factors of both numbers and list the highest common factor.
The factors of 6439 are 1, 47, 137, 6439
The factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166
The HCF of 6439,1166 is 1.
Lets's calculate GCF of 6439,1166
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6439,1166 By Matching Biggest Common Factor Method
Now, list down the factors of 6439
:1,47,137,6439
Now, list down the factors of 1166
:1,2,11,22,53,106,583,1166
Greatest Common Factor
We found the factors 6439,1166 . The biggest common factor number is the GCF number.
So the greatest common factor 6439,1166 is 1.
Lets's calculate LCM of 144,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 33552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33552
Therefore, the GCF of Fractions 6439/144,1166/233 is 1/33552
Least Common Multiple of 144,233 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 144,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,233) x common factors =1 x 1 = 1
LCM(144,233) = ( 144 × 233 ) / 1
LCM(144,233) = 33552 / 1
LCM(144,233) = 33552
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FAQs on GCF of Fractions of 6439/144, 1166/233
1. What is the HCF of 6439,1166?
The HCF of 6439,1166 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 6439/144, 1166/233?
Answer: GCF of Numerators as per given numbers 6439/144, 1166/233 is
GCF of Numerators i.e. for 6439,1166 is 1
LCM of denominators i.e. for 144,233 is 33552.
Thus, GCF of Fractions is 1/33552.Finally, GCF of Fractions for 6439/144, 1166/233 is 1/33552.