GCF of 176/82, 325/3684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 176/82, 325/3684 i.e 1/151044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/82, 325/3684.
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 176/82,325/3684?
Given fractions are 176/82,325/3684
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 176/82,325/3684, numerators are 176,325
Denominators are 82,3684
The GCF of 176,325 is 1 .
LCM of 82,3684 is 151044.
The greatest common factor of 176/82,325/3684 = [GCF of 176,325]/[LCM of 82,3684]= 1/151044
Therefore, the GCF of 176/82,325/3684 is 1/151044.
To find the highest common factor of 176,325, we have to find the factors of both numbers and list the highest common factor.
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The factors of 325 are 1, 5, 13, 25, 65, 325
The HCF of 176,325 is 1.
Lets's calculate GCF of 176,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 176,325 By Matching Biggest Common Factor Method
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 325
:1,5,13,25,65,325
Greatest Common Factor
We found the factors 176,325 . The biggest common factor number is the GCF number.
So the greatest common factor 176,325 is 1.
Lets's calculate LCM of 82,3684
| 2 | 82, 3684 |
| 41, 1842 |
∴ So the LCM of the given numbers is 2 x 41 x 1842 = 151044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151044
Therefore, the GCF of Fractions 176/82,325/3684 is 1/151044
Least Common Multiple of 82,3684 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 82,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,3684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,3684) x common factors =2 x 1 = 2
LCM(82,3684) = ( 82 × 3684 ) / 2
LCM(82,3684) = 302088 / 2
LCM(82,3684) = 151044
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FAQs on GCF of Fractions of 176/82, 325/3684
1. What is the HCF of 176,325?
The HCF of 176,325 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 176/82, 325/3684?
Answer: GCF of Numerators as per given numbers 176/82, 325/3684 is
GCF of Numerators i.e. for 176,325 is 1
LCM of denominators i.e. for 82,3684 is 151044.
Thus, GCF of Fractions is 1/151044.Finally, GCF of Fractions for 176/82, 325/3684 is 1/151044.