GCF of 4171/835, 1284/6587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4171/835, 1284/6587 i.e 1/5500145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4171/835, 1284/6587.
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 4171/835,1284/6587?
Given fractions are 4171/835,1284/6587
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 4171/835,1284/6587, numerators are 4171,1284
Denominators are 835,6587
The GCF of 4171,1284 is 1 .
LCM of 835,6587 is 5500145.
The greatest common factor of 4171/835,1284/6587 = [GCF of 4171,1284]/[LCM of 835,6587]= 1/5500145
Therefore, the GCF of 4171/835,1284/6587 is 1/5500145.
To find the highest common factor of 4171,1284, we have to find the factors of both numbers and list the highest common factor.
The factors of 4171 are 1, 43, 97, 4171
The factors of 1284 are 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
The HCF of 4171,1284 is 1.
Lets's calculate GCF of 4171,1284
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4171,1284 By Matching Biggest Common Factor Method
Now, list down the factors of 4171
:1,43,97,4171
Now, list down the factors of 1284
:1,2,3,4,6,12,107,214,321,428,642,1284
Greatest Common Factor
We found the factors 4171,1284 . The biggest common factor number is the GCF number.
So the greatest common factor 4171,1284 is 1.
Lets's calculate LCM of 835,6587
Given numbers has no common factors except 1. So, there LCM is their product i.e 5500145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5500145
Therefore, the GCF of Fractions 4171/835,1284/6587 is 1/5500145
Least Common Multiple of 835,6587 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 835,6587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,6587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,6587) x common factors =1 x 1 = 1
LCM(835,6587) = ( 835 × 6587 ) / 1
LCM(835,6587) = 5500145 / 1
LCM(835,6587) = 5500145
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FAQs on GCF of Fractions of 4171/835, 1284/6587
1. What is the HCF of 4171,1284?
The HCF of 4171,1284 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 4171/835, 1284/6587?
Answer: GCF of Numerators as per given numbers 4171/835, 1284/6587 is
GCF of Numerators i.e. for 4171,1284 is 1
LCM of denominators i.e. for 835,6587 is 5500145.
Thus, GCF of Fractions is 1/5500145.Finally, GCF of Fractions for 4171/835, 1284/6587 is 1/5500145.