GCF of 4706/381, 4516/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4706/381, 4516/714 i.e 2/90678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4706/381, 4516/714.
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 4706/381,4516/714?
Given fractions are 4706/381,4516/714
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 4706/381,4516/714, numerators are 4706,4516
Denominators are 381,714
The GCF of 4706,4516 is 2 .
LCM of 381,714 is 90678.
The greatest common factor of 4706/381,4516/714 = [GCF of 4706,4516]/[LCM of 381,714]= 2/90678
Therefore, the GCF of 4706/381,4516/714 is 2/90678.
To find the highest common factor of 4706,4516, we have to find the factors of both numbers and list the highest common factor.
The factors of 4706 are 1, 2, 13, 26, 181, 362, 2353, 4706
The factors of 4516 are 1, 2, 4, 1129, 2258, 4516
The HCF of 4706,4516 is 2.
Lets's calculate GCF of 4706,4516
| 2 | 4706, 4516 |
| 2353, 2258 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4706,4516 By Matching Biggest Common Factor Method
Now, list down the factors of 4706
:1,2,13,26,181,362,2353,4706
Now, list down the factors of 4516
:1,2,4,1129,2258,4516
Greatest Common Factor
We found the factors 4706,4516 . The biggest common factor number is the GCF number.
So the greatest common factor 4706,4516 is 2.
Lets's calculate LCM of 381,714
| 3 | 381, 714 |
| 127, 238 |
∴ So the LCM of the given numbers is 3 x 127 x 238 = 90678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90678
Therefore, the GCF of Fractions 4706/381,4516/714 is 2/90678
Least Common Multiple of 381,714 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 381,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,714) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,714) x common factors =3 x 1 = 3
LCM(381,714) = ( 381 × 714 ) / 3
LCM(381,714) = 272034 / 3
LCM(381,714) = 90678
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FAQs on GCF of Fractions of 4706/381, 4516/714
1. What is the HCF of 4706,4516?
The HCF of 4706,4516 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 4706/381, 4516/714?
Answer: GCF of Numerators as per given numbers 4706/381, 4516/714 is
GCF of Numerators i.e. for 4706,4516 is 2
LCM of denominators i.e. for 381,714 is 90678.
Thus, GCF of Fractions is 2/90678.Finally, GCF of Fractions for 4706/381, 4516/714 is 2/90678.