GCF of 4776/238, 8220/4206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4776/238, 8220/4206 i.e 12/500514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4776/238, 8220/4206.
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 4776/238,8220/4206?
Given fractions are 4776/238,8220/4206
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 4776/238,8220/4206, numerators are 4776,8220
Denominators are 238,4206
The GCF of 4776,8220 is 12 .
LCM of 238,4206 is 500514.
The greatest common factor of 4776/238,8220/4206 = [GCF of 4776,8220]/[LCM of 238,4206]= 12/500514
Therefore, the GCF of 4776/238,8220/4206 is 12/500514.
To find the highest common factor of 4776,8220, we have to find the factors of both numbers and list the highest common factor.
The factors of 4776 are 1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388, 4776
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The HCF of 4776,8220 is 12.
Lets's calculate GCF of 4776,8220
| 2 | 4776, 8220 |
| 2 | 2388, 4110 |
| 3 | 1194, 2055 |
| 398, 685 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4776,8220 By Matching Biggest Common Factor Method
Now, list down the factors of 4776
:1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Greatest Common Factor
We found the factors 4776,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 4776,8220 is 12.
Lets's calculate LCM of 238,4206
| 2 | 238, 4206 |
| 119, 2103 |
∴ So the LCM of the given numbers is 2 x 119 x 2103 = 500514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/500514
Therefore, the GCF of Fractions 4776/238,8220/4206 is 12/500514
Least Common Multiple of 238,4206 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 238,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,4206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,4206) x common factors =2 x 1 = 2
LCM(238,4206) = ( 238 × 4206 ) / 2
LCM(238,4206) = 1001028 / 2
LCM(238,4206) = 500514
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4776/238, 8220/4206
1. What is the HCF of 4776,8220?
The HCF of 4776,8220 is 12
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 4776/238, 8220/4206?
Answer: GCF of Numerators as per given numbers 4776/238, 8220/4206 is
GCF of Numerators i.e. for 4776,8220 is 12
LCM of denominators i.e. for 238,4206 is 500514.
Thus, GCF of Fractions is 12/500514.Finally, GCF of Fractions for 4776/238, 8220/4206 is 12/500514.