GCF of 2342/986, 2697/3061
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2342/986, 2697/3061 i.e 1/3018146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2342/986, 2697/3061.
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 2342/986,2697/3061?
Given fractions are 2342/986,2697/3061
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 2342/986,2697/3061, numerators are 2342,2697
Denominators are 986,3061
The GCF of 2342,2697 is 1 .
LCM of 986,3061 is 3018146.
The greatest common factor of 2342/986,2697/3061 = [GCF of 2342,2697]/[LCM of 986,3061]= 1/3018146
Therefore, the GCF of 2342/986,2697/3061 is 1/3018146.
To find the highest common factor of 2342,2697, we have to find the factors of both numbers and list the highest common factor.
The factors of 2342 are 1, 2, 1171, 2342
The factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697
The HCF of 2342,2697 is 1.
Lets's calculate GCF of 2342,2697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2342,2697 By Matching Biggest Common Factor Method
Now, list down the factors of 2342
:1,2,1171,2342
Now, list down the factors of 2697
:1,3,29,31,87,93,899,2697
Greatest Common Factor
We found the factors 2342,2697 . The biggest common factor number is the GCF number.
So the greatest common factor 2342,2697 is 1.
Lets's calculate LCM of 986,3061
Given numbers has no common factors except 1. So, there LCM is their product i.e 3018146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3018146
Therefore, the GCF of Fractions 2342/986,2697/3061 is 1/3018146
Least Common Multiple of 986,3061 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 986,3061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,3061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,3061) x common factors =1 x 1 = 1
LCM(986,3061) = ( 986 × 3061 ) / 1
LCM(986,3061) = 3018146 / 1
LCM(986,3061) = 3018146
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FAQs on GCF of Fractions of 2342/986, 2697/3061
1. What is the HCF of 2342,2697?
The HCF of 2342,2697 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 2342/986, 2697/3061?
Answer: GCF of Numerators as per given numbers 2342/986, 2697/3061 is
GCF of Numerators i.e. for 2342,2697 is 1
LCM of denominators i.e. for 986,3061 is 3018146.
Thus, GCF of Fractions is 1/3018146.Finally, GCF of Fractions for 2342/986, 2697/3061 is 1/3018146.