GCF of 7071/257, 1882/8891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7071/257, 1882/8891 i.e 1/2284987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7071/257, 1882/8891.
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 7071/257,1882/8891?
Given fractions are 7071/257,1882/8891
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 7071/257,1882/8891, numerators are 7071,1882
Denominators are 257,8891
The GCF of 7071,1882 is 1 .
LCM of 257,8891 is 2284987.
The greatest common factor of 7071/257,1882/8891 = [GCF of 7071,1882]/[LCM of 257,8891]= 1/2284987
Therefore, the GCF of 7071/257,1882/8891 is 1/2284987.
To find the highest common factor of 7071,1882, we have to find the factors of both numbers and list the highest common factor.
The factors of 7071 are 1, 3, 2357, 7071
The factors of 1882 are 1, 2, 941, 1882
The HCF of 7071,1882 is 1.
Lets's calculate GCF of 7071,1882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7071,1882 By Matching Biggest Common Factor Method
Now, list down the factors of 7071
:1,3,2357,7071
Now, list down the factors of 1882
:1,2,941,1882
Greatest Common Factor
We found the factors 7071,1882 . The biggest common factor number is the GCF number.
So the greatest common factor 7071,1882 is 1.
Lets's calculate LCM of 257,8891
Given numbers has no common factors except 1. So, there LCM is their product i.e 2284987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2284987
Therefore, the GCF of Fractions 7071/257,1882/8891 is 1/2284987
Least Common Multiple of 257,8891 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 257,8891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,8891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,8891) x common factors =1 x 1 = 1
LCM(257,8891) = ( 257 × 8891 ) / 1
LCM(257,8891) = 2284987 / 1
LCM(257,8891) = 2284987
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FAQs on GCF of Fractions of 7071/257, 1882/8891
1. What is the HCF of 7071,1882?
The HCF of 7071,1882 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 7071/257, 1882/8891?
Answer: GCF of Numerators as per given numbers 7071/257, 1882/8891 is
GCF of Numerators i.e. for 7071,1882 is 1
LCM of denominators i.e. for 257,8891 is 2284987.
Thus, GCF of Fractions is 1/2284987.Finally, GCF of Fractions for 7071/257, 1882/8891 is 1/2284987.