GCF of 2726/314, 7934/3494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2726/314, 7934/3494 i.e 2/548558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2726/314, 7934/3494.
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 2726/314,7934/3494?
Given fractions are 2726/314,7934/3494
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 2726/314,7934/3494, numerators are 2726,7934
Denominators are 314,3494
The GCF of 2726,7934 is 2 .
LCM of 314,3494 is 548558.
The greatest common factor of 2726/314,7934/3494 = [GCF of 2726,7934]/[LCM of 314,3494]= 2/548558
Therefore, the GCF of 2726/314,7934/3494 is 2/548558.
To find the highest common factor of 2726,7934, we have to find the factors of both numbers and list the highest common factor.
The factors of 2726 are 1, 2, 29, 47, 58, 94, 1363, 2726
The factors of 7934 are 1, 2, 3967, 7934
The HCF of 2726,7934 is 2.
Lets's calculate GCF of 2726,7934
| 2 | 2726, 7934 |
| 1363, 3967 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2726,7934 By Matching Biggest Common Factor Method
Now, list down the factors of 2726
:1,2,29,47,58,94,1363,2726
Now, list down the factors of 7934
:1,2,3967,7934
Greatest Common Factor
We found the factors 2726,7934 . The biggest common factor number is the GCF number.
So the greatest common factor 2726,7934 is 2.
Lets's calculate LCM of 314,3494
| 2 | 314, 3494 |
| 157, 1747 |
∴ So the LCM of the given numbers is 2 x 157 x 1747 = 548558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/548558
Therefore, the GCF of Fractions 2726/314,7934/3494 is 2/548558
Least Common Multiple of 314,3494 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 314,3494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,3494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,3494) x common factors =2 x 1 = 2
LCM(314,3494) = ( 314 × 3494 ) / 2
LCM(314,3494) = 1097116 / 2
LCM(314,3494) = 548558
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FAQs on GCF of Fractions of 2726/314, 7934/3494
1. What is the HCF of 2726,7934?
The HCF of 2726,7934 is 2
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 2726/314, 7934/3494?
Answer: GCF of Numerators as per given numbers 2726/314, 7934/3494 is
GCF of Numerators i.e. for 2726,7934 is 2
LCM of denominators i.e. for 314,3494 is 548558.
Thus, GCF of Fractions is 2/548558.Finally, GCF of Fractions for 2726/314, 7934/3494 is 2/548558.