GCF of 3964/351, 4768/501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3964/351, 4768/501 i.e 4/58617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3964/351, 4768/501.
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 3964/351,4768/501?
Given fractions are 3964/351,4768/501
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 3964/351,4768/501, numerators are 3964,4768
Denominators are 351,501
The GCF of 3964,4768 is 4 .
LCM of 351,501 is 58617.
The greatest common factor of 3964/351,4768/501 = [GCF of 3964,4768]/[LCM of 351,501]= 4/58617
Therefore, the GCF of 3964/351,4768/501 is 4/58617.
To find the highest common factor of 3964,4768, we have to find the factors of both numbers and list the highest common factor.
The factors of 3964 are 1, 2, 4, 991, 1982, 3964
The factors of 4768 are 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768
The HCF of 3964,4768 is 4.
Lets's calculate GCF of 3964,4768
| 2 | 3964, 4768 |
| 2 | 1982, 2384 |
| 991, 1192 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3964,4768 By Matching Biggest Common Factor Method
Now, list down the factors of 3964
:1,2,4,991,1982,3964
Now, list down the factors of 4768
:1,2,4,8,16,32,149,298,596,1192,2384,4768
Greatest Common Factor
We found the factors 3964,4768 . The biggest common factor number is the GCF number.
So the greatest common factor 3964,4768 is 4.
Lets's calculate LCM of 351,501
| 3 | 351, 501 |
| 117, 167 |
∴ So the LCM of the given numbers is 3 x 117 x 167 = 58617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/58617
Therefore, the GCF of Fractions 3964/351,4768/501 is 4/58617
Least Common Multiple of 351,501 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 351,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,501) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(351,501) x common factors =3 x 1 = 3
LCM(351,501) = ( 351 × 501 ) / 3
LCM(351,501) = 175851 / 3
LCM(351,501) = 58617
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3964/351, 4768/501
1. What is the HCF of 3964,4768?
The HCF of 3964,4768 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 3964/351, 4768/501?
Answer: GCF of Numerators as per given numbers 3964/351, 4768/501 is
GCF of Numerators i.e. for 3964,4768 is 4
LCM of denominators i.e. for 351,501 is 58617.
Thus, GCF of Fractions is 4/58617.Finally, GCF of Fractions for 3964/351, 4768/501 is 4/58617.