GCF of 2685/688, 6194/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2685/688, 6194/723 i.e 1/497424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2685/688, 6194/723.
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 2685/688,6194/723?
Given fractions are 2685/688,6194/723
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 2685/688,6194/723, numerators are 2685,6194
Denominators are 688,723
The GCF of 2685,6194 is 1 .
LCM of 688,723 is 497424.
The greatest common factor of 2685/688,6194/723 = [GCF of 2685,6194]/[LCM of 688,723]= 1/497424
Therefore, the GCF of 2685/688,6194/723 is 1/497424.
To find the highest common factor of 2685,6194, we have to find the factors of both numbers and list the highest common factor.
The factors of 2685 are 1, 3, 5, 15, 179, 537, 895, 2685
The factors of 6194 are 1, 2, 19, 38, 163, 326, 3097, 6194
The HCF of 2685,6194 is 1.
Lets's calculate GCF of 2685,6194
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2685,6194 By Matching Biggest Common Factor Method
Now, list down the factors of 2685
:1,3,5,15,179,537,895,2685
Now, list down the factors of 6194
:1,2,19,38,163,326,3097,6194
Greatest Common Factor
We found the factors 2685,6194 . The biggest common factor number is the GCF number.
So the greatest common factor 2685,6194 is 1.
Lets's calculate LCM of 688,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 497424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497424
Therefore, the GCF of Fractions 2685/688,6194/723 is 1/497424
Least Common Multiple of 688,723 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 688,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,723) x common factors =1 x 1 = 1
LCM(688,723) = ( 688 × 723 ) / 1
LCM(688,723) = 497424 / 1
LCM(688,723) = 497424
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FAQs on GCF of Fractions of 2685/688, 6194/723
1. What is the HCF of 2685,6194?
The HCF of 2685,6194 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 2685/688, 6194/723?
Answer: GCF of Numerators as per given numbers 2685/688, 6194/723 is
GCF of Numerators i.e. for 2685,6194 is 1
LCM of denominators i.e. for 688,723 is 497424.
Thus, GCF of Fractions is 1/497424.Finally, GCF of Fractions for 2685/688, 6194/723 is 1/497424.