GCF of 1023/620, 4111/897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1023/620, 4111/897 i.e 1/556140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1023/620, 4111/897.
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 1023/620,4111/897?
Given fractions are 1023/620,4111/897
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 1023/620,4111/897, numerators are 1023,4111
Denominators are 620,897
The GCF of 1023,4111 is 1 .
LCM of 620,897 is 556140.
The greatest common factor of 1023/620,4111/897 = [GCF of 1023,4111]/[LCM of 620,897]= 1/556140
Therefore, the GCF of 1023/620,4111/897 is 1/556140.
To find the highest common factor of 1023,4111, we have to find the factors of both numbers and list the highest common factor.
The factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023
The factors of 4111 are 1, 4111
The HCF of 1023,4111 is 1.
Lets's calculate GCF of 1023,4111
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1023,4111 By Matching Biggest Common Factor Method
Now, list down the factors of 1023
:1,3,11,31,33,93,341,1023
Now, list down the factors of 4111
:1,4111
Greatest Common Factor
We found the factors 1023,4111 . The biggest common factor number is the GCF number.
So the greatest common factor 1023,4111 is 1.
Lets's calculate LCM of 620,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 556140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/556140
Therefore, the GCF of Fractions 1023/620,4111/897 is 1/556140
Least Common Multiple of 620,897 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 620,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,897) x common factors =1 x 1 = 1
LCM(620,897) = ( 620 × 897 ) / 1
LCM(620,897) = 556140 / 1
LCM(620,897) = 556140
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FAQs on GCF of Fractions of 1023/620, 4111/897
1. What is the HCF of 1023,4111?
The HCF of 1023,4111 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 1023/620, 4111/897?
Answer: GCF of Numerators as per given numbers 1023/620, 4111/897 is
GCF of Numerators i.e. for 1023,4111 is 1
LCM of denominators i.e. for 620,897 is 556140.
Thus, GCF of Fractions is 1/556140.Finally, GCF of Fractions for 1023/620, 4111/897 is 1/556140.