GCF of 3162/329, 2000/7953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3162/329, 2000/7953 i.e 2/2616537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3162/329, 2000/7953.
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 3162/329,2000/7953?
Given fractions are 3162/329,2000/7953
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 3162/329,2000/7953, numerators are 3162,2000
Denominators are 329,7953
The GCF of 3162,2000 is 2 .
LCM of 329,7953 is 2616537.
The greatest common factor of 3162/329,2000/7953 = [GCF of 3162,2000]/[LCM of 329,7953]= 2/2616537
Therefore, the GCF of 3162/329,2000/7953 is 2/2616537.
To find the highest common factor of 3162,2000, we have to find the factors of both numbers and list the highest common factor.
The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
The HCF of 3162,2000 is 2.
Lets's calculate GCF of 3162,2000
| 2 | 3162, 2000 |
| 1581, 1000 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3162,2000 By Matching Biggest Common Factor Method
Now, list down the factors of 3162
:1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Now, list down the factors of 2000
:1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000
Greatest Common Factor
We found the factors 3162,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 3162,2000 is 2.
Lets's calculate LCM of 329,7953
Given numbers has no common factors except 1. So, there LCM is their product i.e 2616537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2616537
Therefore, the GCF of Fractions 3162/329,2000/7953 is 2/2616537
Least Common Multiple of 329,7953 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 329,7953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,7953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,7953) x common factors =1 x 1 = 1
LCM(329,7953) = ( 329 × 7953 ) / 1
LCM(329,7953) = 2616537 / 1
LCM(329,7953) = 2616537
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FAQs on GCF of Fractions of 3162/329, 2000/7953
1. What is the HCF of 3162,2000?
The HCF of 3162,2000 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 3162/329, 2000/7953?
Answer: GCF of Numerators as per given numbers 3162/329, 2000/7953 is
GCF of Numerators i.e. for 3162,2000 is 2
LCM of denominators i.e. for 329,7953 is 2616537.
Thus, GCF of Fractions is 2/2616537.Finally, GCF of Fractions for 3162/329, 2000/7953 is 2/2616537.