GCF of 4340/544, 3760/6169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4340/544, 3760/6169 i.e 20/3355936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4340/544, 3760/6169.
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 4340/544,3760/6169?
Given fractions are 4340/544,3760/6169
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 4340/544,3760/6169, numerators are 4340,3760
Denominators are 544,6169
The GCF of 4340,3760 is 20 .
LCM of 544,6169 is 3355936.
The greatest common factor of 4340/544,3760/6169 = [GCF of 4340,3760]/[LCM of 544,6169]= 20/3355936
Therefore, the GCF of 4340/544,3760/6169 is 20/3355936.
To find the highest common factor of 4340,3760, we have to find the factors of both numbers and list the highest common factor.
The factors of 4340 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340
The factors of 3760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760
The HCF of 4340,3760 is 20.
Lets's calculate GCF of 4340,3760
| 2 | 4340, 3760 |
| 2 | 2170, 1880 |
| 5 | 1085, 940 |
| 217, 188 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4340,3760 By Matching Biggest Common Factor Method
Now, list down the factors of 4340
:1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340
Now, list down the factors of 3760
:1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760
Greatest Common Factor
We found the factors 4340,3760 . The biggest common factor number is the GCF number.
So the greatest common factor 4340,3760 is 20.
Lets's calculate LCM of 544,6169
Given numbers has no common factors except 1. So, there LCM is their product i.e 3355936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/3355936
Therefore, the GCF of Fractions 4340/544,3760/6169 is 20/3355936
Least Common Multiple of 544,6169 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 544,6169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,6169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(544,6169) x common factors =1 x 1 = 1
LCM(544,6169) = ( 544 × 6169 ) / 1
LCM(544,6169) = 3355936 / 1
LCM(544,6169) = 3355936
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FAQs on GCF of Fractions of 4340/544, 3760/6169
1. What is the HCF of 4340,3760?
The HCF of 4340,3760 is 20
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 4340/544, 3760/6169?
Answer: GCF of Numerators as per given numbers 4340/544, 3760/6169 is
GCF of Numerators i.e. for 4340,3760 is 20
LCM of denominators i.e. for 544,6169 is 3355936.
Thus, GCF of Fractions is 20/3355936.Finally, GCF of Fractions for 4340/544, 3760/6169 is 20/3355936.