GCF of 6785/673, 6828/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6785/673, 6828/384 i.e 1/258432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6785/673, 6828/384.
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 6785/673,6828/384?
Given fractions are 6785/673,6828/384
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 6785/673,6828/384, numerators are 6785,6828
Denominators are 673,384
The GCF of 6785,6828 is 1 .
LCM of 673,384 is 258432.
The greatest common factor of 6785/673,6828/384 = [GCF of 6785,6828]/[LCM of 673,384]= 1/258432
Therefore, the GCF of 6785/673,6828/384 is 1/258432.
To find the highest common factor of 6785,6828, we have to find the factors of both numbers and list the highest common factor.
The factors of 6785 are 1, 5, 23, 59, 115, 295, 1357, 6785
The factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828
The HCF of 6785,6828 is 1.
Lets's calculate GCF of 6785,6828
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6785,6828 By Matching Biggest Common Factor Method
Now, list down the factors of 6785
:1,5,23,59,115,295,1357,6785
Now, list down the factors of 6828
:1,2,3,4,6,12,569,1138,1707,2276,3414,6828
Greatest Common Factor
We found the factors 6785,6828 . The biggest common factor number is the GCF number.
So the greatest common factor 6785,6828 is 1.
Lets's calculate LCM of 673,384
Given numbers has no common factors except 1. So, there LCM is their product i.e 258432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258432
Therefore, the GCF of Fractions 6785/673,6828/384 is 1/258432
Least Common Multiple of 673,384 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 673,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,384) x common factors =1 x 1 = 1
LCM(673,384) = ( 673 × 384 ) / 1
LCM(673,384) = 258432 / 1
LCM(673,384) = 258432
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FAQs on GCF of Fractions of 6785/673, 6828/384
1. What is the HCF of 6785,6828?
The HCF of 6785,6828 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 6785/673, 6828/384?
Answer: GCF of Numerators as per given numbers 6785/673, 6828/384 is
GCF of Numerators i.e. for 6785,6828 is 1
LCM of denominators i.e. for 673,384 is 258432.
Thus, GCF of Fractions is 1/258432.Finally, GCF of Fractions for 6785/673, 6828/384 is 1/258432.