GCF of 5723/895, 2227/1027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5723/895, 2227/1027 i.e 1/919165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5723/895, 2227/1027.
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 5723/895,2227/1027?
Given fractions are 5723/895,2227/1027
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 5723/895,2227/1027, numerators are 5723,2227
Denominators are 895,1027
The GCF of 5723,2227 is 1 .
LCM of 895,1027 is 919165.
The greatest common factor of 5723/895,2227/1027 = [GCF of 5723,2227]/[LCM of 895,1027]= 1/919165
Therefore, the GCF of 5723/895,2227/1027 is 1/919165.
To find the highest common factor of 5723,2227, we have to find the factors of both numbers and list the highest common factor.
The factors of 5723 are 1, 59, 97, 5723
The factors of 2227 are 1, 17, 131, 2227
The HCF of 5723,2227 is 1.
Lets's calculate GCF of 5723,2227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5723,2227 By Matching Biggest Common Factor Method
Now, list down the factors of 5723
:1,59,97,5723
Now, list down the factors of 2227
:1,17,131,2227
Greatest Common Factor
We found the factors 5723,2227 . The biggest common factor number is the GCF number.
So the greatest common factor 5723,2227 is 1.
Lets's calculate LCM of 895,1027
Given numbers has no common factors except 1. So, there LCM is their product i.e 919165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/919165
Therefore, the GCF of Fractions 5723/895,2227/1027 is 1/919165
Least Common Multiple of 895,1027 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 895,1027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,1027) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,1027) x common factors =1 x 1 = 1
LCM(895,1027) = ( 895 × 1027 ) / 1
LCM(895,1027) = 919165 / 1
LCM(895,1027) = 919165
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FAQs on GCF of Fractions of 5723/895, 2227/1027
1. What is the HCF of 5723,2227?
The HCF of 5723,2227 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 5723/895, 2227/1027?
Answer: GCF of Numerators as per given numbers 5723/895, 2227/1027 is
GCF of Numerators i.e. for 5723,2227 is 1
LCM of denominators i.e. for 895,1027 is 919165.
Thus, GCF of Fractions is 1/919165.Finally, GCF of Fractions for 5723/895, 2227/1027 is 1/919165.