GCF of 1641/266, 1587/7883
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1641/266, 1587/7883 i.e 3/2096878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1641/266, 1587/7883.
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 1641/266,1587/7883?
Given fractions are 1641/266,1587/7883
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 1641/266,1587/7883, numerators are 1641,1587
Denominators are 266,7883
The GCF of 1641,1587 is 3 .
LCM of 266,7883 is 2096878.
The greatest common factor of 1641/266,1587/7883 = [GCF of 1641,1587]/[LCM of 266,7883]= 3/2096878
Therefore, the GCF of 1641/266,1587/7883 is 3/2096878.
To find the highest common factor of 1641,1587, we have to find the factors of both numbers and list the highest common factor.
The factors of 1641 are 1, 3, 547, 1641
The factors of 1587 are 1, 3, 23, 69, 529, 1587
The HCF of 1641,1587 is 3.
Lets's calculate GCF of 1641,1587
| 3 | 1641, 1587 |
| 547, 529 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1641,1587 By Matching Biggest Common Factor Method
Now, list down the factors of 1641
:1,3,547,1641
Now, list down the factors of 1587
:1,3,23,69,529,1587
Greatest Common Factor
We found the factors 1641,1587 . The biggest common factor number is the GCF number.
So the greatest common factor 1641,1587 is 3.
Lets's calculate LCM of 266,7883
Given numbers has no common factors except 1. So, there LCM is their product i.e 2096878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2096878
Therefore, the GCF of Fractions 1641/266,1587/7883 is 3/2096878
Least Common Multiple of 266,7883 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 266,7883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,7883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,7883) x common factors =1 x 1 = 1
LCM(266,7883) = ( 266 × 7883 ) / 1
LCM(266,7883) = 2096878 / 1
LCM(266,7883) = 2096878
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FAQs on GCF of Fractions of 1641/266, 1587/7883
1. What is the HCF of 1641,1587?
The HCF of 1641,1587 is 3
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 1641/266, 1587/7883?
Answer: GCF of Numerators as per given numbers 1641/266, 1587/7883 is
GCF of Numerators i.e. for 1641,1587 is 3
LCM of denominators i.e. for 266,7883 is 2096878.
Thus, GCF of Fractions is 3/2096878.Finally, GCF of Fractions for 1641/266, 1587/7883 is 3/2096878.