GCF of 4361/269, 1705/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4361/269, 1705/687 i.e 1/184803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4361/269, 1705/687.
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 4361/269,1705/687?
Given fractions are 4361/269,1705/687
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 4361/269,1705/687, numerators are 4361,1705
Denominators are 269,687
The GCF of 4361,1705 is 1 .
LCM of 269,687 is 184803.
The greatest common factor of 4361/269,1705/687 = [GCF of 4361,1705]/[LCM of 269,687]= 1/184803
Therefore, the GCF of 4361/269,1705/687 is 1/184803.
To find the highest common factor of 4361,1705, we have to find the factors of both numbers and list the highest common factor.
The factors of 4361 are 1, 7, 49, 89, 623, 4361
The factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705
The HCF of 4361,1705 is 1.
Lets's calculate GCF of 4361,1705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4361,1705 By Matching Biggest Common Factor Method
Now, list down the factors of 4361
:1,7,49,89,623,4361
Now, list down the factors of 1705
:1,5,11,31,55,155,341,1705
Greatest Common Factor
We found the factors 4361,1705 . The biggest common factor number is the GCF number.
So the greatest common factor 4361,1705 is 1.
Lets's calculate LCM of 269,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 184803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184803
Therefore, the GCF of Fractions 4361/269,1705/687 is 1/184803
Least Common Multiple of 269,687 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 269,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,687) x common factors =1 x 1 = 1
LCM(269,687) = ( 269 × 687 ) / 1
LCM(269,687) = 184803 / 1
LCM(269,687) = 184803
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FAQs on GCF of Fractions of 4361/269, 1705/687
1. What is the HCF of 4361,1705?
The HCF of 4361,1705 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 4361/269, 1705/687?
Answer: GCF of Numerators as per given numbers 4361/269, 1705/687 is
GCF of Numerators i.e. for 4361,1705 is 1
LCM of denominators i.e. for 269,687 is 184803.
Thus, GCF of Fractions is 1/184803.Finally, GCF of Fractions for 4361/269, 1705/687 is 1/184803.