GCF of 6927/713, 6800/3733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6927/713, 6800/3733 i.e 1/2661629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6927/713, 6800/3733.
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 6927/713,6800/3733?
Given fractions are 6927/713,6800/3733
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 6927/713,6800/3733, numerators are 6927,6800
Denominators are 713,3733
The GCF of 6927,6800 is 1 .
LCM of 713,3733 is 2661629.
The greatest common factor of 6927/713,6800/3733 = [GCF of 6927,6800]/[LCM of 713,3733]= 1/2661629
Therefore, the GCF of 6927/713,6800/3733 is 1/2661629.
To find the highest common factor of 6927,6800, we have to find the factors of both numbers and list the highest common factor.
The factors of 6927 are 1, 3, 2309, 6927
The factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800
The HCF of 6927,6800 is 1.
Lets's calculate GCF of 6927,6800
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6927,6800 By Matching Biggest Common Factor Method
Now, list down the factors of 6927
:1,3,2309,6927
Now, list down the factors of 6800
:1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800
Greatest Common Factor
We found the factors 6927,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 6927,6800 is 1.
Lets's calculate LCM of 713,3733
Given numbers has no common factors except 1. So, there LCM is their product i.e 2661629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2661629
Therefore, the GCF of Fractions 6927/713,6800/3733 is 1/2661629
Least Common Multiple of 713,3733 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 713,3733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,3733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,3733) x common factors =1 x 1 = 1
LCM(713,3733) = ( 713 × 3733 ) / 1
LCM(713,3733) = 2661629 / 1
LCM(713,3733) = 2661629
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FAQs on GCF of Fractions of 6927/713, 6800/3733
1. What is the HCF of 6927,6800?
The HCF of 6927,6800 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 6927/713, 6800/3733?
Answer: GCF of Numerators as per given numbers 6927/713, 6800/3733 is
GCF of Numerators i.e. for 6927,6800 is 1
LCM of denominators i.e. for 713,3733 is 2661629.
Thus, GCF of Fractions is 1/2661629.Finally, GCF of Fractions for 6927/713, 6800/3733 is 1/2661629.