GCF of 5855/925, 5341/5714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5855/925, 5341/5714 i.e 1/5285450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5855/925, 5341/5714.
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 5855/925,5341/5714?
Given fractions are 5855/925,5341/5714
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 5855/925,5341/5714, numerators are 5855,5341
Denominators are 925,5714
The GCF of 5855,5341 is 1 .
LCM of 925,5714 is 5285450.
The greatest common factor of 5855/925,5341/5714 = [GCF of 5855,5341]/[LCM of 925,5714]= 1/5285450
Therefore, the GCF of 5855/925,5341/5714 is 1/5285450.
To find the highest common factor of 5855,5341, we have to find the factors of both numbers and list the highest common factor.
The factors of 5855 are 1, 5, 1171, 5855
The factors of 5341 are 1, 7, 49, 109, 763, 5341
The HCF of 5855,5341 is 1.
Lets's calculate GCF of 5855,5341
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5855,5341 By Matching Biggest Common Factor Method
Now, list down the factors of 5855
:1,5,1171,5855
Now, list down the factors of 5341
:1,7,49,109,763,5341
Greatest Common Factor
We found the factors 5855,5341 . The biggest common factor number is the GCF number.
So the greatest common factor 5855,5341 is 1.
Lets's calculate LCM of 925,5714
Given numbers has no common factors except 1. So, there LCM is their product i.e 5285450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5285450
Therefore, the GCF of Fractions 5855/925,5341/5714 is 1/5285450
Least Common Multiple of 925,5714 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 925,5714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,5714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,5714) x common factors =1 x 1 = 1
LCM(925,5714) = ( 925 × 5714 ) / 1
LCM(925,5714) = 5285450 / 1
LCM(925,5714) = 5285450
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5855/925, 5341/5714
1. What is the HCF of 5855,5341?
The HCF of 5855,5341 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 5855/925, 5341/5714?
Answer: GCF of Numerators as per given numbers 5855/925, 5341/5714 is
GCF of Numerators i.e. for 5855,5341 is 1
LCM of denominators i.e. for 925,5714 is 5285450.
Thus, GCF of Fractions is 1/5285450.Finally, GCF of Fractions for 5855/925, 5341/5714 is 1/5285450.