GCF of 172/236, 6395/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 172/236, 6395/449 i.e 1/105964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 172/236, 6395/449.
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 172/236,6395/449?
Given fractions are 172/236,6395/449
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 172/236,6395/449, numerators are 172,6395
Denominators are 236,449
The GCF of 172,6395 is 1 .
LCM of 236,449 is 105964.
The greatest common factor of 172/236,6395/449 = [GCF of 172,6395]/[LCM of 236,449]= 1/105964
Therefore, the GCF of 172/236,6395/449 is 1/105964.
To find the highest common factor of 172,6395, 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 6395 are 1, 5, 1279, 6395
The HCF of 172,6395 is 1.
Lets's calculate GCF of 172,6395
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 172,6395 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 6395
:1,5,1279,6395
Greatest Common Factor
We found the factors 172,6395 . The biggest common factor number is the GCF number.
So the greatest common factor 172,6395 is 1.
Lets's calculate LCM of 236,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 105964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105964
Therefore, the GCF of Fractions 172/236,6395/449 is 1/105964
Least Common Multiple of 236,449 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 236,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,449) x common factors =1 x 1 = 1
LCM(236,449) = ( 236 × 449 ) / 1
LCM(236,449) = 105964 / 1
LCM(236,449) = 105964
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FAQs on GCF of Fractions of 172/236, 6395/449
1. What is the HCF of 172,6395?
The HCF of 172,6395 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 172/236, 6395/449?
Answer: GCF of Numerators as per given numbers 172/236, 6395/449 is
GCF of Numerators i.e. for 172,6395 is 1
LCM of denominators i.e. for 236,449 is 105964.
Thus, GCF of Fractions is 1/105964.Finally, GCF of Fractions for 172/236, 6395/449 is 1/105964.