GCF of 4348/190, 8340/8662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4348/190, 8340/8662 i.e 4/822890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4348/190, 8340/8662.
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 4348/190,8340/8662?
Given fractions are 4348/190,8340/8662
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 4348/190,8340/8662, numerators are 4348,8340
Denominators are 190,8662
The GCF of 4348,8340 is 4 .
LCM of 190,8662 is 822890.
The greatest common factor of 4348/190,8340/8662 = [GCF of 4348,8340]/[LCM of 190,8662]= 4/822890
Therefore, the GCF of 4348/190,8340/8662 is 4/822890.
To find the highest common factor of 4348,8340, we have to find the factors of both numbers and list the highest common factor.
The factors of 4348 are 1, 2, 4, 1087, 2174, 4348
The factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
The HCF of 4348,8340 is 4.
Lets's calculate GCF of 4348,8340
| 2 | 4348, 8340 |
| 2 | 2174, 4170 |
| 1087, 2085 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4348,8340 By Matching Biggest Common Factor Method
Now, list down the factors of 4348
:1,2,4,1087,2174,4348
Now, list down the factors of 8340
:1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Greatest Common Factor
We found the factors 4348,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 4348,8340 is 4.
Lets's calculate LCM of 190,8662
| 2 | 190, 8662 |
| 95, 4331 |
∴ So the LCM of the given numbers is 2 x 95 x 4331 = 822890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/822890
Therefore, the GCF of Fractions 4348/190,8340/8662 is 4/822890
Least Common Multiple of 190,8662 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 190,8662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,8662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,8662) x common factors =2 x 1 = 2
LCM(190,8662) = ( 190 × 8662 ) / 2
LCM(190,8662) = 1645780 / 2
LCM(190,8662) = 822890
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FAQs on GCF of Fractions of 4348/190, 8340/8662
1. What is the HCF of 4348,8340?
The HCF of 4348,8340 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 4348/190, 8340/8662?
Answer: GCF of Numerators as per given numbers 4348/190, 8340/8662 is
GCF of Numerators i.e. for 4348,8340 is 4
LCM of denominators i.e. for 190,8662 is 822890.
Thus, GCF of Fractions is 4/822890.Finally, GCF of Fractions for 4348/190, 8340/8662 is 4/822890.