GCF of 3498/234, 4770/8201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3498/234, 4770/8201 i.e 318/1919034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3498/234, 4770/8201.
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 3498/234,4770/8201?
Given fractions are 3498/234,4770/8201
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 3498/234,4770/8201, numerators are 3498,4770
Denominators are 234,8201
The GCF of 3498,4770 is 318 .
LCM of 234,8201 is 1919034.
The greatest common factor of 3498/234,4770/8201 = [GCF of 3498,4770]/[LCM of 234,8201]= 318/1919034
Therefore, the GCF of 3498/234,4770/8201 is 318/1919034.
To find the highest common factor of 3498,4770, we have to find the factors of both numbers and list the highest common factor.
The factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498
The factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770
The HCF of 3498,4770 is 318.
Lets's calculate GCF of 3498,4770
| 2 | 3498, 4770 |
| 3 | 1749, 2385 |
| 53 | 583, 795 |
| 11, 15 |
∴ So the GCF of the given numbers is 2 x 3 x 53 = 318
Greatest Common Factor of 3498,4770 By Matching Biggest Common Factor Method
Now, list down the factors of 3498
:1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498
Now, list down the factors of 4770
:1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770
Greatest Common Factor
We found the factors 3498,4770 . The biggest common factor number is the GCF number.
So the greatest common factor 3498,4770 is 318.
Lets's calculate LCM of 234,8201
Given numbers has no common factors except 1. So, there LCM is their product i.e 1919034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 318/1919034
Therefore, the GCF of Fractions 3498/234,4770/8201 is 318/1919034
Least Common Multiple of 234,8201 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 234,8201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,8201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(234,8201) x common factors =1 x 1 = 1
LCM(234,8201) = ( 234 × 8201 ) / 1
LCM(234,8201) = 1919034 / 1
LCM(234,8201) = 1919034
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3498/234, 4770/8201
1. What is the HCF of 3498,4770?
The HCF of 3498,4770 is 318
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 3498/234, 4770/8201?
Answer: GCF of Numerators as per given numbers 3498/234, 4770/8201 is
GCF of Numerators i.e. for 3498,4770 is 318
LCM of denominators i.e. for 234,8201 is 1919034.
Thus, GCF of Fractions is 318/1919034.Finally, GCF of Fractions for 3498/234, 4770/8201 is 318/1919034.