GCF of 1681/257, 1781/3314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1681/257, 1781/3314 i.e 1/851698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1681/257, 1781/3314.
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 1681/257,1781/3314?
Given fractions are 1681/257,1781/3314
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 1681/257,1781/3314, numerators are 1681,1781
Denominators are 257,3314
The GCF of 1681,1781 is 1 .
LCM of 257,3314 is 851698.
The greatest common factor of 1681/257,1781/3314 = [GCF of 1681,1781]/[LCM of 257,3314]= 1/851698
Therefore, the GCF of 1681/257,1781/3314 is 1/851698.
To find the highest common factor of 1681,1781, we have to find the factors of both numbers and list the highest common factor.
The factors of 1681 are 1, 41, 1681
The factors of 1781 are 1, 13, 137, 1781
The HCF of 1681,1781 is 1.
Lets's calculate GCF of 1681,1781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1681,1781 By Matching Biggest Common Factor Method
Now, list down the factors of 1681
:1,41,1681
Now, list down the factors of 1781
:1,13,137,1781
Greatest Common Factor
We found the factors 1681,1781 . The biggest common factor number is the GCF number.
So the greatest common factor 1681,1781 is 1.
Lets's calculate LCM of 257,3314
Given numbers has no common factors except 1. So, there LCM is their product i.e 851698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/851698
Therefore, the GCF of Fractions 1681/257,1781/3314 is 1/851698
Least Common Multiple of 257,3314 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 257,3314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,3314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,3314) x common factors =1 x 1 = 1
LCM(257,3314) = ( 257 × 3314 ) / 1
LCM(257,3314) = 851698 / 1
LCM(257,3314) = 851698
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FAQs on GCF of Fractions of 1681/257, 1781/3314
1. What is the HCF of 1681,1781?
The HCF of 1681,1781 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 1681/257, 1781/3314?
Answer: GCF of Numerators as per given numbers 1681/257, 1781/3314 is
GCF of Numerators i.e. for 1681,1781 is 1
LCM of denominators i.e. for 257,3314 is 851698.
Thus, GCF of Fractions is 1/851698.Finally, GCF of Fractions for 1681/257, 1781/3314 is 1/851698.