GCF of 614/84, 514/942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 614/84, 514/942 i.e 2/13188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 614/84, 514/942.
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 614/84,514/942?
Given fractions are 614/84,514/942
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 614/84,514/942, numerators are 614,514
Denominators are 84,942
The GCF of 614,514 is 2 .
LCM of 84,942 is 13188.
The greatest common factor of 614/84,514/942 = [GCF of 614,514]/[LCM of 84,942]= 2/13188
Therefore, the GCF of 614/84,514/942 is 2/13188.
To find the highest common factor of 614,514, we have to find the factors of both numbers and list the highest common factor.
The factors of 614 are 1, 2, 307, 614
The factors of 514 are 1, 2, 257, 514
The HCF of 614,514 is 2.
Lets's calculate GCF of 614,514
| 2 | 614, 514 |
| 307, 257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 614,514 By Matching Biggest Common Factor Method
Now, list down the factors of 614
:1,2,307,614
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 614,514 . The biggest common factor number is the GCF number.
So the greatest common factor 614,514 is 2.
Lets's calculate LCM of 84,942
| 2 | 84, 942 |
| 3 | 42, 471 |
| 14, 157 |
∴ So the LCM of the given numbers is 2 x 3 x 14 x 157 = 13188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13188
Therefore, the GCF of Fractions 614/84,514/942 is 2/13188
Least Common Multiple of 84,942 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 84,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,942) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(84,942) x common factors =6 x 1 = 6
LCM(84,942) = ( 84 × 942 ) / 6
LCM(84,942) = 79128 / 6
LCM(84,942) = 13188
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FAQs on GCF of Fractions of 614/84, 514/942
1. What is the HCF of 614,514?
The HCF of 614,514 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 614/84, 514/942?
Answer: GCF of Numerators as per given numbers 614/84, 514/942 is
GCF of Numerators i.e. for 614,514 is 2
LCM of denominators i.e. for 84,942 is 13188.
Thus, GCF of Fractions is 2/13188.Finally, GCF of Fractions for 614/84, 514/942 is 2/13188.