GCF of 172/6043, 302/3604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 172/6043, 302/3604 i.e 2/21778972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 172/6043, 302/3604.
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 172/6043,302/3604?
Given fractions are 172/6043,302/3604
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 172/6043,302/3604, numerators are 172,302
Denominators are 6043,3604
The GCF of 172,302 is 2 .
LCM of 6043,3604 is 21778972.
The greatest common factor of 172/6043,302/3604 = [GCF of 172,302]/[LCM of 6043,3604]= 2/21778972
Therefore, the GCF of 172/6043,302/3604 is 2/21778972.
To find the highest common factor of 172,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 172 are 1, 2, 4, 43, 86, 172
The factors of 302 are 1, 2, 151, 302
The HCF of 172,302 is 2.
Lets's calculate GCF of 172,302
| 2 | 172, 302 |
| 86, 151 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 172,302 By Matching Biggest Common Factor Method
Now, list down the factors of 172
:1,2,4,43,86,172
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 172,302 . The biggest common factor number is the GCF number.
So the greatest common factor 172,302 is 2.
Lets's calculate LCM of 6043,3604
Given numbers has no common factors except 1. So, there LCM is their product i.e 21778972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21778972
Therefore, the GCF of Fractions 172/6043,302/3604 is 2/21778972
Least Common Multiple of 6043,3604 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 6043,3604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6043,3604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6043,3604) x common factors =1 x 1 = 1
LCM(6043,3604) = ( 6043 × 3604 ) / 1
LCM(6043,3604) = 21778972 / 1
LCM(6043,3604) = 21778972
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FAQs on GCF of Fractions of 172/6043, 302/3604
1. What is the HCF of 172,302?
The HCF of 172,302 is 2
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 172/6043, 302/3604?
Answer: GCF of Numerators as per given numbers 172/6043, 302/3604 is
GCF of Numerators i.e. for 172,302 is 2
LCM of denominators i.e. for 6043,3604 is 21778972.
Thus, GCF of Fractions is 2/21778972.Finally, GCF of Fractions for 172/6043, 302/3604 is 2/21778972.