GCF of 3307/668, 7497/2284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3307/668, 7497/2284 i.e 1/381428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3307/668, 7497/2284.
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 3307/668,7497/2284?
Given fractions are 3307/668,7497/2284
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 3307/668,7497/2284, numerators are 3307,7497
Denominators are 668,2284
The GCF of 3307,7497 is 1 .
LCM of 668,2284 is 381428.
The greatest common factor of 3307/668,7497/2284 = [GCF of 3307,7497]/[LCM of 668,2284]= 1/381428
Therefore, the GCF of 3307/668,7497/2284 is 1/381428.
To find the highest common factor of 3307,7497, we have to find the factors of both numbers and list the highest common factor.
The factors of 3307 are 1, 3307
The factors of 7497 are 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497
The HCF of 3307,7497 is 1.
Lets's calculate GCF of 3307,7497
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3307,7497 By Matching Biggest Common Factor Method
Now, list down the factors of 3307
:1,3307
Now, list down the factors of 7497
:1,3,7,9,17,21,49,51,63,119,147,153,357,441,833,1071,2499,7497
Greatest Common Factor
We found the factors 3307,7497 . The biggest common factor number is the GCF number.
So the greatest common factor 3307,7497 is 1.
Lets's calculate LCM of 668,2284
| 2 | 668, 2284 |
| 2 | 334, 1142 |
| 167, 571 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 571 = 381428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381428
Therefore, the GCF of Fractions 3307/668,7497/2284 is 1/381428
Least Common Multiple of 668,2284 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 668,2284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,2284) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(668,2284) x common factors =4 x 1 = 4
LCM(668,2284) = ( 668 × 2284 ) / 4
LCM(668,2284) = 1525712 / 4
LCM(668,2284) = 381428
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3307/668, 7497/2284
1. What is the HCF of 3307,7497?
The HCF of 3307,7497 is 1
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 3307/668, 7497/2284?
Answer: GCF of Numerators as per given numbers 3307/668, 7497/2284 is
GCF of Numerators i.e. for 3307,7497 is 1
LCM of denominators i.e. for 668,2284 is 381428.
Thus, GCF of Fractions is 1/381428.Finally, GCF of Fractions for 3307/668, 7497/2284 is 1/381428.