GCF of 2042/177, 8003/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2042/177, 8003/821 i.e 1/145317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2042/177, 8003/821.
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 2042/177,8003/821?
Given fractions are 2042/177,8003/821
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 2042/177,8003/821, numerators are 2042,8003
Denominators are 177,821
The GCF of 2042,8003 is 1 .
LCM of 177,821 is 145317.
The greatest common factor of 2042/177,8003/821 = [GCF of 2042,8003]/[LCM of 177,821]= 1/145317
Therefore, the GCF of 2042/177,8003/821 is 1/145317.
To find the highest common factor of 2042,8003, we have to find the factors of both numbers and list the highest common factor.
The factors of 2042 are 1, 2, 1021, 2042
The factors of 8003 are 1, 53, 151, 8003
The HCF of 2042,8003 is 1.
Lets's calculate GCF of 2042,8003
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2042,8003 By Matching Biggest Common Factor Method
Now, list down the factors of 2042
:1,2,1021,2042
Now, list down the factors of 8003
:1,53,151,8003
Greatest Common Factor
We found the factors 2042,8003 . The biggest common factor number is the GCF number.
So the greatest common factor 2042,8003 is 1.
Lets's calculate LCM of 177,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 145317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145317
Therefore, the GCF of Fractions 2042/177,8003/821 is 1/145317
Least Common Multiple of 177,821 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 177,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,821) x common factors =1 x 1 = 1
LCM(177,821) = ( 177 × 821 ) / 1
LCM(177,821) = 145317 / 1
LCM(177,821) = 145317
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FAQs on GCF of Fractions of 2042/177, 8003/821
1. What is the HCF of 2042,8003?
The HCF of 2042,8003 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 2042/177, 8003/821?
Answer: GCF of Numerators as per given numbers 2042/177, 8003/821 is
GCF of Numerators i.e. for 2042,8003 is 1
LCM of denominators i.e. for 177,821 is 145317.
Thus, GCF of Fractions is 1/145317.Finally, GCF of Fractions for 2042/177, 8003/821 is 1/145317.