GCF of 5782/613, 4889/6941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5782/613, 4889/6941 i.e 1/4254833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5782/613, 4889/6941.
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 5782/613,4889/6941?
Given fractions are 5782/613,4889/6941
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 5782/613,4889/6941, numerators are 5782,4889
Denominators are 613,6941
The GCF of 5782,4889 is 1 .
LCM of 613,6941 is 4254833.
The greatest common factor of 5782/613,4889/6941 = [GCF of 5782,4889]/[LCM of 613,6941]= 1/4254833
Therefore, the GCF of 5782/613,4889/6941 is 1/4254833.
To find the highest common factor of 5782,4889, we have to find the factors of both numbers and list the highest common factor.
The factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782
The factors of 4889 are 1, 4889
The HCF of 5782,4889 is 1.
Lets's calculate GCF of 5782,4889
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5782,4889 By Matching Biggest Common Factor Method
Now, list down the factors of 5782
:1,2,7,14,49,59,98,118,413,826,2891,5782
Now, list down the factors of 4889
:1,4889
Greatest Common Factor
We found the factors 5782,4889 . The biggest common factor number is the GCF number.
So the greatest common factor 5782,4889 is 1.
Lets's calculate LCM of 613,6941
Given numbers has no common factors except 1. So, there LCM is their product i.e 4254833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4254833
Therefore, the GCF of Fractions 5782/613,4889/6941 is 1/4254833
Least Common Multiple of 613,6941 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 613,6941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,6941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,6941) x common factors =1 x 1 = 1
LCM(613,6941) = ( 613 × 6941 ) / 1
LCM(613,6941) = 4254833 / 1
LCM(613,6941) = 4254833
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FAQs on GCF of Fractions of 5782/613, 4889/6941
1. What is the HCF of 5782,4889?
The HCF of 5782,4889 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 5782/613, 4889/6941?
Answer: GCF of Numerators as per given numbers 5782/613, 4889/6941 is
GCF of Numerators i.e. for 5782,4889 is 1
LCM of denominators i.e. for 613,6941 is 4254833.
Thus, GCF of Fractions is 1/4254833.Finally, GCF of Fractions for 5782/613, 4889/6941 is 1/4254833.