GCF of 4923/686, 4080/5416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4923/686, 4080/5416 i.e 3/1857688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4923/686, 4080/5416.
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 4923/686,4080/5416?
Given fractions are 4923/686,4080/5416
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 4923/686,4080/5416, numerators are 4923,4080
Denominators are 686,5416
The GCF of 4923,4080 is 3 .
LCM of 686,5416 is 1857688.
The greatest common factor of 4923/686,4080/5416 = [GCF of 4923,4080]/[LCM of 686,5416]= 3/1857688
Therefore, the GCF of 4923/686,4080/5416 is 3/1857688.
To find the highest common factor of 4923,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 4923 are 1, 3, 9, 547, 1641, 4923
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 4923,4080 is 3.
Lets's calculate GCF of 4923,4080
| 3 | 4923, 4080 |
| 1641, 1360 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4923,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 4923
:1,3,9,547,1641,4923
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 4923,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 4923,4080 is 3.
Lets's calculate LCM of 686,5416
| 2 | 686, 5416 |
| 343, 2708 |
∴ So the LCM of the given numbers is 2 x 343 x 2708 = 1857688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1857688
Therefore, the GCF of Fractions 4923/686,4080/5416 is 3/1857688
Least Common Multiple of 686,5416 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 686,5416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,5416) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,5416) x common factors =2 x 1 = 2
LCM(686,5416) = ( 686 × 5416 ) / 2
LCM(686,5416) = 3715376 / 2
LCM(686,5416) = 1857688
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FAQs on GCF of Fractions of 4923/686, 4080/5416
1. What is the HCF of 4923,4080?
The HCF of 4923,4080 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 4923/686, 4080/5416?
Answer: GCF of Numerators as per given numbers 4923/686, 4080/5416 is
GCF of Numerators i.e. for 4923,4080 is 3
LCM of denominators i.e. for 686,5416 is 1857688.
Thus, GCF of Fractions is 3/1857688.Finally, GCF of Fractions for 4923/686, 4080/5416 is 3/1857688.