GCF of 34/614, 44/936, 556/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/614, 44/936, 556/614 i.e 2/287352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/614, 44/936, 556/614.
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 34/614,44/936,556/614?
Given fractions are 34/614,44/936,556/614
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 34/614,44/936,556/614, numerators are 34,44,556
Denominators are 614,936,614
The GCF of 34,44,556 is 2 .
LCM of 614,936,614 is 287352.
The greatest common factor of 34/614,44/936,556/614 = [GCF of 34,44,556]/[LCM of 614,936,614]= 2/287352
Therefore, the GCF of 34/614,44/936,556/614 is 2/287352.
To find the highest common factor of 34,44,556, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 556 are 1, 2, 4, 139, 278, 556
The HCF of 34,44,556 is 2.
Lets's calculate GCF of 34,44,556
| 2 | 34, 44, 556 |
| 17, 22, 278 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,44,556 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 556
:1,2,4,139,278,556
Greatest Common Factor
We found the factors 34,44,556 . The biggest common factor number is the GCF number.
So the greatest common factor 34,44,556 is 2.
Lets's calculate LCM of 614,936,614
| 2 | 614, 936, 614 |
| 307 | 307, 468, 307 |
| 1, 468, 1 |
∴ So the LCM of the given numbers is 2 x 307 x 1 x 468 x 1 = 287352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/287352
Therefore, the GCF of Fractions 34/614,44/936,556/614 is 2/287352
Least Common Multiple of 614,936,614 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 614,936,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,936,614) = 2
common factors(in case of two or more numbers have common factors) = 614
GCF(614,936,614) x common factors =2 x 614 = 1228
LCM(614,936,614) = ( 614 × 936 × 614 ) / 1228
LCM(614,936,614) = 352868256 / 1228
LCM(614,936,614) = 287352
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 34/614, 44/936, 556/614
1. What is the HCF of 34,44,556?
The HCF of 34,44,556 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 34/614, 44/936, 556/614?
Answer: GCF of Numerators as per given numbers 34/614, 44/936, 556/614 is
GCF of Numerators i.e. for 34,44,556 is 2
LCM of denominators i.e. for 614,936,614 is 287352.
Thus, GCF of Fractions is 2/287352.Finally, GCF of Fractions for 34/614, 44/936, 556/614 is 2/287352.