GCF of 4860/106, 8144/5756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4860/106, 8144/5756 i.e 4/305068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4860/106, 8144/5756.
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 4860/106,8144/5756?
Given fractions are 4860/106,8144/5756
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 4860/106,8144/5756, numerators are 4860,8144
Denominators are 106,5756
The GCF of 4860,8144 is 4 .
LCM of 106,5756 is 305068.
The greatest common factor of 4860/106,8144/5756 = [GCF of 4860,8144]/[LCM of 106,5756]= 4/305068
Therefore, the GCF of 4860/106,8144/5756 is 4/305068.
To find the highest common factor of 4860,8144, we have to find the factors of both numbers and list the highest common factor.
The factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860
The factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144
The HCF of 4860,8144 is 4.
Lets's calculate GCF of 4860,8144
| 2 | 4860, 8144 |
| 2 | 2430, 4072 |
| 1215, 2036 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4860,8144 By Matching Biggest Common Factor Method
Now, list down the factors of 4860
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860
Now, list down the factors of 8144
:1,2,4,8,16,509,1018,2036,4072,8144
Greatest Common Factor
We found the factors 4860,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 4860,8144 is 4.
Lets's calculate LCM of 106,5756
| 2 | 106, 5756 |
| 53, 2878 |
∴ So the LCM of the given numbers is 2 x 53 x 2878 = 305068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/305068
Therefore, the GCF of Fractions 4860/106,8144/5756 is 4/305068
Least Common Multiple of 106,5756 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 106,5756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,5756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,5756) x common factors =2 x 1 = 2
LCM(106,5756) = ( 106 × 5756 ) / 2
LCM(106,5756) = 610136 / 2
LCM(106,5756) = 305068
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FAQs on GCF of Fractions of 4860/106, 8144/5756
1. What is the HCF of 4860,8144?
The HCF of 4860,8144 is 4
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 4860/106, 8144/5756?
Answer: GCF of Numerators as per given numbers 4860/106, 8144/5756 is
GCF of Numerators i.e. for 4860,8144 is 4
LCM of denominators i.e. for 106,5756 is 305068.
Thus, GCF of Fractions is 4/305068.Finally, GCF of Fractions for 4860/106, 8144/5756 is 4/305068.