GCF of 1345/275, 4080/452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1345/275, 4080/452 i.e 5/124300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1345/275, 4080/452.
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 1345/275,4080/452?
Given fractions are 1345/275,4080/452
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 1345/275,4080/452, numerators are 1345,4080
Denominators are 275,452
The GCF of 1345,4080 is 5 .
LCM of 275,452 is 124300.
The greatest common factor of 1345/275,4080/452 = [GCF of 1345,4080]/[LCM of 275,452]= 5/124300
Therefore, the GCF of 1345/275,4080/452 is 5/124300.
To find the highest common factor of 1345,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 1345 are 1, 5, 269, 1345
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 1345,4080 is 5.
Lets's calculate GCF of 1345,4080
| 5 | 1345, 4080 |
| 269, 816 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1345,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 1345
:1,5,269,1345
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 1345,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 1345,4080 is 5.
Lets's calculate LCM of 275,452
Given numbers has no common factors except 1. So, there LCM is their product i.e 124300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/124300
Therefore, the GCF of Fractions 1345/275,4080/452 is 5/124300
Least Common Multiple of 275,452 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 275,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,452) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,452) x common factors =1 x 1 = 1
LCM(275,452) = ( 275 × 452 ) / 1
LCM(275,452) = 124300 / 1
LCM(275,452) = 124300
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1345/275, 4080/452
1. What is the HCF of 1345,4080?
The HCF of 1345,4080 is 5
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 1345/275, 4080/452?
Answer: GCF of Numerators as per given numbers 1345/275, 4080/452 is
GCF of Numerators i.e. for 1345,4080 is 5
LCM of denominators i.e. for 275,452 is 124300.
Thus, GCF of Fractions is 5/124300.Finally, GCF of Fractions for 1345/275, 4080/452 is 5/124300.