GCF of 1151/797, 2806/1734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1151/797, 2806/1734 i.e 1/1381998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1151/797, 2806/1734.
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 1151/797,2806/1734?
Given fractions are 1151/797,2806/1734
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 1151/797,2806/1734, numerators are 1151,2806
Denominators are 797,1734
The GCF of 1151,2806 is 1 .
LCM of 797,1734 is 1381998.
The greatest common factor of 1151/797,2806/1734 = [GCF of 1151,2806]/[LCM of 797,1734]= 1/1381998
Therefore, the GCF of 1151/797,2806/1734 is 1/1381998.
To find the highest common factor of 1151,2806, we have to find the factors of both numbers and list the highest common factor.
The factors of 1151 are 1, 1151
The factors of 2806 are 1, 2, 23, 46, 61, 122, 1403, 2806
The HCF of 1151,2806 is 1.
Lets's calculate GCF of 1151,2806
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1151,2806 By Matching Biggest Common Factor Method
Now, list down the factors of 1151
:1,1151
Now, list down the factors of 2806
:1,2,23,46,61,122,1403,2806
Greatest Common Factor
We found the factors 1151,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 1151,2806 is 1.
Lets's calculate LCM of 797,1734
Given numbers has no common factors except 1. So, there LCM is their product i.e 1381998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1381998
Therefore, the GCF of Fractions 1151/797,2806/1734 is 1/1381998
Least Common Multiple of 797,1734 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 797,1734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,1734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,1734) x common factors =1 x 1 = 1
LCM(797,1734) = ( 797 × 1734 ) / 1
LCM(797,1734) = 1381998 / 1
LCM(797,1734) = 1381998
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FAQs on GCF of Fractions of 1151/797, 2806/1734
1. What is the HCF of 1151,2806?
The HCF of 1151,2806 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 1151/797, 2806/1734?
Answer: GCF of Numerators as per given numbers 1151/797, 2806/1734 is
GCF of Numerators i.e. for 1151,2806 is 1
LCM of denominators i.e. for 797,1734 is 1381998.
Thus, GCF of Fractions is 1/1381998.Finally, GCF of Fractions for 1151/797, 2806/1734 is 1/1381998.