GCF of 4687/384, 8213/8037
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4687/384, 8213/8037 i.e 43/1028736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4687/384, 8213/8037.
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 4687/384,8213/8037?
Given fractions are 4687/384,8213/8037
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 4687/384,8213/8037, numerators are 4687,8213
Denominators are 384,8037
The GCF of 4687,8213 is 43 .
LCM of 384,8037 is 1028736.
The greatest common factor of 4687/384,8213/8037 = [GCF of 4687,8213]/[LCM of 384,8037]= 43/1028736
Therefore, the GCF of 4687/384,8213/8037 is 43/1028736.
To find the highest common factor of 4687,8213, we have to find the factors of both numbers and list the highest common factor.
The factors of 4687 are 1, 43, 109, 4687
The factors of 8213 are 1, 43, 191, 8213
The HCF of 4687,8213 is 43.
Lets's calculate GCF of 4687,8213
| 43 | 4687, 8213 |
| 109, 191 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 4687,8213 By Matching Biggest Common Factor Method
Now, list down the factors of 4687
:1,43,109,4687
Now, list down the factors of 8213
:1,43,191,8213
Greatest Common Factor
We found the factors 4687,8213 . The biggest common factor number is the GCF number.
So the greatest common factor 4687,8213 is 43.
Lets's calculate LCM of 384,8037
| 3 | 384, 8037 |
| 128, 2679 |
∴ So the LCM of the given numbers is 3 x 128 x 2679 = 1028736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/1028736
Therefore, the GCF of Fractions 4687/384,8213/8037 is 43/1028736
Least Common Multiple of 384,8037 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 384,8037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,8037) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(384,8037) x common factors =3 x 1 = 3
LCM(384,8037) = ( 384 × 8037 ) / 3
LCM(384,8037) = 3086208 / 3
LCM(384,8037) = 1028736
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FAQs on GCF of Fractions of 4687/384, 8213/8037
1. What is the HCF of 4687,8213?
The HCF of 4687,8213 is 43
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 4687/384, 8213/8037?
Answer: GCF of Numerators as per given numbers 4687/384, 8213/8037 is
GCF of Numerators i.e. for 4687,8213 is 43
LCM of denominators i.e. for 384,8037 is 1028736.
Thus, GCF of Fractions is 43/1028736.Finally, GCF of Fractions for 4687/384, 8213/8037 is 43/1028736.