GCF of 4037/179, 3199/1066
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4037/179, 3199/1066 i.e 1/190814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4037/179, 3199/1066.
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 4037/179,3199/1066?
Given fractions are 4037/179,3199/1066
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 4037/179,3199/1066, numerators are 4037,3199
Denominators are 179,1066
The GCF of 4037,3199 is 1 .
LCM of 179,1066 is 190814.
The greatest common factor of 4037/179,3199/1066 = [GCF of 4037,3199]/[LCM of 179,1066]= 1/190814
Therefore, the GCF of 4037/179,3199/1066 is 1/190814.
To find the highest common factor of 4037,3199, we have to find the factors of both numbers and list the highest common factor.
The factors of 4037 are 1, 11, 367, 4037
The factors of 3199 are 1, 7, 457, 3199
The HCF of 4037,3199 is 1.
Lets's calculate GCF of 4037,3199
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4037,3199 By Matching Biggest Common Factor Method
Now, list down the factors of 4037
:1,11,367,4037
Now, list down the factors of 3199
:1,7,457,3199
Greatest Common Factor
We found the factors 4037,3199 . The biggest common factor number is the GCF number.
So the greatest common factor 4037,3199 is 1.
Lets's calculate LCM of 179,1066
Given numbers has no common factors except 1. So, there LCM is their product i.e 190814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190814
Therefore, the GCF of Fractions 4037/179,3199/1066 is 1/190814
Least Common Multiple of 179,1066 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 179,1066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,1066) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,1066) x common factors =1 x 1 = 1
LCM(179,1066) = ( 179 × 1066 ) / 1
LCM(179,1066) = 190814 / 1
LCM(179,1066) = 190814
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FAQs on GCF of Fractions of 4037/179, 3199/1066
1. What is the HCF of 4037,3199?
The HCF of 4037,3199 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 4037/179, 3199/1066?
Answer: GCF of Numerators as per given numbers 4037/179, 3199/1066 is
GCF of Numerators i.e. for 4037,3199 is 1
LCM of denominators i.e. for 179,1066 is 190814.
Thus, GCF of Fractions is 1/190814.Finally, GCF of Fractions for 4037/179, 3199/1066 is 1/190814.