GCF of 3685/882, 2000/491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3685/882, 2000/491 i.e 5/433062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3685/882, 2000/491.
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 3685/882,2000/491?
Given fractions are 3685/882,2000/491
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 3685/882,2000/491, numerators are 3685,2000
Denominators are 882,491
The GCF of 3685,2000 is 5 .
LCM of 882,491 is 433062.
The greatest common factor of 3685/882,2000/491 = [GCF of 3685,2000]/[LCM of 882,491]= 5/433062
Therefore, the GCF of 3685/882,2000/491 is 5/433062.
To find the highest common factor of 3685,2000, we have to find the factors of both numbers and list the highest common factor.
The factors of 3685 are 1, 5, 11, 55, 67, 335, 737, 3685
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 3685,2000 is 5.
Lets's calculate GCF of 3685,2000
| 5 | 3685, 2000 |
| 737, 400 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3685,2000 By Matching Biggest Common Factor Method
Now, list down the factors of 3685
:1,5,11,55,67,335,737,3685
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 3685,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 3685,2000 is 5.
Lets's calculate LCM of 882,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 433062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/433062
Therefore, the GCF of Fractions 3685/882,2000/491 is 5/433062
Least Common Multiple of 882,491 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 882,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,491) x common factors =1 x 1 = 1
LCM(882,491) = ( 882 × 491 ) / 1
LCM(882,491) = 433062 / 1
LCM(882,491) = 433062
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FAQs on GCF of Fractions of 3685/882, 2000/491
1. What is the HCF of 3685,2000?
The HCF of 3685,2000 is 5
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 3685/882, 2000/491?
Answer: GCF of Numerators as per given numbers 3685/882, 2000/491 is
GCF of Numerators i.e. for 3685,2000 is 5
LCM of denominators i.e. for 882,491 is 433062.
Thus, GCF of Fractions is 5/433062.Finally, GCF of Fractions for 3685/882, 2000/491 is 5/433062.