GCF of 5871/641, 9727/1075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5871/641, 9727/1075 i.e 1/689075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5871/641, 9727/1075.
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 5871/641,9727/1075?
Given fractions are 5871/641,9727/1075
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 5871/641,9727/1075, numerators are 5871,9727
Denominators are 641,1075
The GCF of 5871,9727 is 1 .
LCM of 641,1075 is 689075.
The greatest common factor of 5871/641,9727/1075 = [GCF of 5871,9727]/[LCM of 641,1075]= 1/689075
Therefore, the GCF of 5871/641,9727/1075 is 1/689075.
To find the highest common factor of 5871,9727, we have to find the factors of both numbers and list the highest common factor.
The factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871
The factors of 9727 are 1, 71, 137, 9727
The HCF of 5871,9727 is 1.
Lets's calculate GCF of 5871,9727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5871,9727 By Matching Biggest Common Factor Method
Now, list down the factors of 5871
:1,3,19,57,103,309,1957,5871
Now, list down the factors of 9727
:1,71,137,9727
Greatest Common Factor
We found the factors 5871,9727 . The biggest common factor number is the GCF number.
So the greatest common factor 5871,9727 is 1.
Lets's calculate LCM of 641,1075
Given numbers has no common factors except 1. So, there LCM is their product i.e 689075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/689075
Therefore, the GCF of Fractions 5871/641,9727/1075 is 1/689075
Least Common Multiple of 641,1075 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 641,1075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,1075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,1075) x common factors =1 x 1 = 1
LCM(641,1075) = ( 641 × 1075 ) / 1
LCM(641,1075) = 689075 / 1
LCM(641,1075) = 689075
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FAQs on GCF of Fractions of 5871/641, 9727/1075
1. What is the HCF of 5871,9727?
The HCF of 5871,9727 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 5871/641, 9727/1075?
Answer: GCF of Numerators as per given numbers 5871/641, 9727/1075 is
GCF of Numerators i.e. for 5871,9727 is 1
LCM of denominators i.e. for 641,1075 is 689075.
Thus, GCF of Fractions is 1/689075.Finally, GCF of Fractions for 5871/641, 9727/1075 is 1/689075.