GCF of 2032/577, 7145/1418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2032/577, 7145/1418 i.e 1/818186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2032/577, 7145/1418.
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 2032/577,7145/1418?
Given fractions are 2032/577,7145/1418
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 2032/577,7145/1418, numerators are 2032,7145
Denominators are 577,1418
The GCF of 2032,7145 is 1 .
LCM of 577,1418 is 818186.
The greatest common factor of 2032/577,7145/1418 = [GCF of 2032,7145]/[LCM of 577,1418]= 1/818186
Therefore, the GCF of 2032/577,7145/1418 is 1/818186.
To find the highest common factor of 2032,7145, we have to find the factors of both numbers and list the highest common factor.
The factors of 2032 are 1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032
The factors of 7145 are 1, 5, 1429, 7145
The HCF of 2032,7145 is 1.
Lets's calculate GCF of 2032,7145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2032,7145 By Matching Biggest Common Factor Method
Now, list down the factors of 2032
:1,2,4,8,16,127,254,508,1016,2032
Now, list down the factors of 7145
:1,5,1429,7145
Greatest Common Factor
We found the factors 2032,7145 . The biggest common factor number is the GCF number.
So the greatest common factor 2032,7145 is 1.
Lets's calculate LCM of 577,1418
Given numbers has no common factors except 1. So, there LCM is their product i.e 818186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/818186
Therefore, the GCF of Fractions 2032/577,7145/1418 is 1/818186
Least Common Multiple of 577,1418 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 577,1418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,1418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,1418) x common factors =1 x 1 = 1
LCM(577,1418) = ( 577 × 1418 ) / 1
LCM(577,1418) = 818186 / 1
LCM(577,1418) = 818186
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FAQs on GCF of Fractions of 2032/577, 7145/1418
1. What is the HCF of 2032,7145?
The HCF of 2032,7145 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 2032/577, 7145/1418?
Answer: GCF of Numerators as per given numbers 2032/577, 7145/1418 is
GCF of Numerators i.e. for 2032,7145 is 1
LCM of denominators i.e. for 577,1418 is 818186.
Thus, GCF of Fractions is 1/818186.Finally, GCF of Fractions for 2032/577, 7145/1418 is 1/818186.