GCF of 6892/257, 5543/7813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6892/257, 5543/7813 i.e 1/2007941 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6892/257, 5543/7813.
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 6892/257,5543/7813?
Given fractions are 6892/257,5543/7813
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 6892/257,5543/7813, numerators are 6892,5543
Denominators are 257,7813
The GCF of 6892,5543 is 1 .
LCM of 257,7813 is 2007941.
The greatest common factor of 6892/257,5543/7813 = [GCF of 6892,5543]/[LCM of 257,7813]= 1/2007941
Therefore, the GCF of 6892/257,5543/7813 is 1/2007941.
To find the highest common factor of 6892,5543, we have to find the factors of both numbers and list the highest common factor.
The factors of 6892 are 1, 2, 4, 1723, 3446, 6892
The factors of 5543 are 1, 23, 241, 5543
The HCF of 6892,5543 is 1.
Lets's calculate GCF of 6892,5543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6892,5543 By Matching Biggest Common Factor Method
Now, list down the factors of 6892
:1,2,4,1723,3446,6892
Now, list down the factors of 5543
:1,23,241,5543
Greatest Common Factor
We found the factors 6892,5543 . The biggest common factor number is the GCF number.
So the greatest common factor 6892,5543 is 1.
Lets's calculate LCM of 257,7813
Given numbers has no common factors except 1. So, there LCM is their product i.e 2007941
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2007941
Therefore, the GCF of Fractions 6892/257,5543/7813 is 1/2007941
Least Common Multiple of 257,7813 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 257,7813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,7813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,7813) x common factors =1 x 1 = 1
LCM(257,7813) = ( 257 × 7813 ) / 1
LCM(257,7813) = 2007941 / 1
LCM(257,7813) = 2007941
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FAQs on GCF of Fractions of 6892/257, 5543/7813
1. What is the HCF of 6892,5543?
The HCF of 6892,5543 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 6892/257, 5543/7813?
Answer: GCF of Numerators as per given numbers 6892/257, 5543/7813 is
GCF of Numerators i.e. for 6892,5543 is 1
LCM of denominators i.e. for 257,7813 is 2007941.
Thus, GCF of Fractions is 1/2007941.Finally, GCF of Fractions for 6892/257, 5543/7813 is 1/2007941.