GCF of 3345/148, 8697/8120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3345/148, 8697/8120 i.e 669/300440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3345/148, 8697/8120.
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 3345/148,8697/8120?
Given fractions are 3345/148,8697/8120
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 3345/148,8697/8120, numerators are 3345,8697
Denominators are 148,8120
The GCF of 3345,8697 is 669 .
LCM of 148,8120 is 300440.
The greatest common factor of 3345/148,8697/8120 = [GCF of 3345,8697]/[LCM of 148,8120]= 669/300440
Therefore, the GCF of 3345/148,8697/8120 is 669/300440.
To find the highest common factor of 3345,8697, we have to find the factors of both numbers and list the highest common factor.
The factors of 3345 are 1, 3, 5, 15, 223, 669, 1115, 3345
The factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697
The HCF of 3345,8697 is 669.
Lets's calculate GCF of 3345,8697
| 3 | 3345, 8697 |
| 223 | 1115, 2899 |
| 5, 13 |
∴ So the GCF of the given numbers is 3 x 223 = 669
Greatest Common Factor of 3345,8697 By Matching Biggest Common Factor Method
Now, list down the factors of 3345
:1,3,5,15,223,669,1115,3345
Now, list down the factors of 8697
:1,3,13,39,223,669,2899,8697
Greatest Common Factor
We found the factors 3345,8697 . The biggest common factor number is the GCF number.
So the greatest common factor 3345,8697 is 669.
Lets's calculate LCM of 148,8120
| 2 | 148, 8120 |
| 2 | 74, 4060 |
| 37, 2030 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 2030 = 300440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 669/300440
Therefore, the GCF of Fractions 3345/148,8697/8120 is 669/300440
Least Common Multiple of 148,8120 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 148,8120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,8120) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,8120) x common factors =4 x 1 = 4
LCM(148,8120) = ( 148 × 8120 ) / 4
LCM(148,8120) = 1201760 / 4
LCM(148,8120) = 300440
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FAQs on GCF of Fractions of 3345/148, 8697/8120
1. What is the HCF of 3345,8697?
The HCF of 3345,8697 is 669
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 3345/148, 8697/8120?
Answer: GCF of Numerators as per given numbers 3345/148, 8697/8120 is
GCF of Numerators i.e. for 3345,8697 is 669
LCM of denominators i.e. for 148,8120 is 300440.
Thus, GCF of Fractions is 669/300440.Finally, GCF of Fractions for 3345/148, 8697/8120 is 669/300440.