GCF of 3176/590, 1995/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3176/590, 1995/546 i.e 1/161070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3176/590, 1995/546.
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 3176/590,1995/546?
Given fractions are 3176/590,1995/546
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 3176/590,1995/546, numerators are 3176,1995
Denominators are 590,546
The GCF of 3176,1995 is 1 .
LCM of 590,546 is 161070.
The greatest common factor of 3176/590,1995/546 = [GCF of 3176,1995]/[LCM of 590,546]= 1/161070
Therefore, the GCF of 3176/590,1995/546 is 1/161070.
To find the highest common factor of 3176,1995, we have to find the factors of both numbers and list the highest common factor.
The factors of 3176 are 1, 2, 4, 8, 397, 794, 1588, 3176
The factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995
The HCF of 3176,1995 is 1.
Lets's calculate GCF of 3176,1995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3176,1995 By Matching Biggest Common Factor Method
Now, list down the factors of 3176
:1,2,4,8,397,794,1588,3176
Now, list down the factors of 1995
:1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995
Greatest Common Factor
We found the factors 3176,1995 . The biggest common factor number is the GCF number.
So the greatest common factor 3176,1995 is 1.
Lets's calculate LCM of 590,546
| 2 | 590, 546 |
| 295, 273 |
∴ So the LCM of the given numbers is 2 x 295 x 273 = 161070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161070
Therefore, the GCF of Fractions 3176/590,1995/546 is 1/161070
Least Common Multiple of 590,546 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 590,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,546) x common factors =2 x 1 = 2
LCM(590,546) = ( 590 × 546 ) / 2
LCM(590,546) = 322140 / 2
LCM(590,546) = 161070
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FAQs on GCF of Fractions of 3176/590, 1995/546
1. What is the HCF of 3176,1995?
The HCF of 3176,1995 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 3176/590, 1995/546?
Answer: GCF of Numerators as per given numbers 3176/590, 1995/546 is
GCF of Numerators i.e. for 3176,1995 is 1
LCM of denominators i.e. for 590,546 is 161070.
Thus, GCF of Fractions is 1/161070.Finally, GCF of Fractions for 3176/590, 1995/546 is 1/161070.