GCF of 4623/783, 4158/2711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4623/783, 4158/2711 i.e 3/2122713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4623/783, 4158/2711.
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 4623/783,4158/2711?
Given fractions are 4623/783,4158/2711
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 4623/783,4158/2711, numerators are 4623,4158
Denominators are 783,2711
The GCF of 4623,4158 is 3 .
LCM of 783,2711 is 2122713.
The greatest common factor of 4623/783,4158/2711 = [GCF of 4623,4158]/[LCM of 783,2711]= 3/2122713
Therefore, the GCF of 4623/783,4158/2711 is 3/2122713.
To find the highest common factor of 4623,4158, we have to find the factors of both numbers and list the highest common factor.
The factors of 4623 are 1, 3, 23, 67, 69, 201, 1541, 4623
The factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158
The HCF of 4623,4158 is 3.
Lets's calculate GCF of 4623,4158
| 3 | 4623, 4158 |
| 1541, 1386 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4623,4158 By Matching Biggest Common Factor Method
Now, list down the factors of 4623
:1,3,23,67,69,201,1541,4623
Now, list down the factors of 4158
:1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Greatest Common Factor
We found the factors 4623,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 4623,4158 is 3.
Lets's calculate LCM of 783,2711
Given numbers has no common factors except 1. So, there LCM is their product i.e 2122713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2122713
Therefore, the GCF of Fractions 4623/783,4158/2711 is 3/2122713
Least Common Multiple of 783,2711 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 783,2711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,2711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,2711) x common factors =1 x 1 = 1
LCM(783,2711) = ( 783 × 2711 ) / 1
LCM(783,2711) = 2122713 / 1
LCM(783,2711) = 2122713
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FAQs on GCF of Fractions of 4623/783, 4158/2711
1. What is the HCF of 4623,4158?
The HCF of 4623,4158 is 3
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 4623/783, 4158/2711?
Answer: GCF of Numerators as per given numbers 4623/783, 4158/2711 is
GCF of Numerators i.e. for 4623,4158 is 3
LCM of denominators i.e. for 783,2711 is 2122713.
Thus, GCF of Fractions is 3/2122713.Finally, GCF of Fractions for 4623/783, 4158/2711 is 3/2122713.