GCF of 2939/515, 2686/7634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2939/515, 2686/7634 i.e 1/3931510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2939/515, 2686/7634.
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 2939/515,2686/7634?
Given fractions are 2939/515,2686/7634
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 2939/515,2686/7634, numerators are 2939,2686
Denominators are 515,7634
The GCF of 2939,2686 is 1 .
LCM of 515,7634 is 3931510.
The greatest common factor of 2939/515,2686/7634 = [GCF of 2939,2686]/[LCM of 515,7634]= 1/3931510
Therefore, the GCF of 2939/515,2686/7634 is 1/3931510.
To find the highest common factor of 2939,2686, we have to find the factors of both numbers and list the highest common factor.
The factors of 2939 are 1, 2939
The factors of 2686 are 1, 2, 17, 34, 79, 158, 1343, 2686
The HCF of 2939,2686 is 1.
Lets's calculate GCF of 2939,2686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2939,2686 By Matching Biggest Common Factor Method
Now, list down the factors of 2939
:1,2939
Now, list down the factors of 2686
:1,2,17,34,79,158,1343,2686
Greatest Common Factor
We found the factors 2939,2686 . The biggest common factor number is the GCF number.
So the greatest common factor 2939,2686 is 1.
Lets's calculate LCM of 515,7634
Given numbers has no common factors except 1. So, there LCM is their product i.e 3931510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3931510
Therefore, the GCF of Fractions 2939/515,2686/7634 is 1/3931510
Least Common Multiple of 515,7634 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 515,7634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,7634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,7634) x common factors =1 x 1 = 1
LCM(515,7634) = ( 515 × 7634 ) / 1
LCM(515,7634) = 3931510 / 1
LCM(515,7634) = 3931510
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FAQs on GCF of Fractions of 2939/515, 2686/7634
1. What is the HCF of 2939,2686?
The HCF of 2939,2686 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 2939/515, 2686/7634?
Answer: GCF of Numerators as per given numbers 2939/515, 2686/7634 is
GCF of Numerators i.e. for 2939,2686 is 1
LCM of denominators i.e. for 515,7634 is 3931510.
Thus, GCF of Fractions is 1/3931510.Finally, GCF of Fractions for 2939/515, 2686/7634 is 1/3931510.