GCF of 2655/332, 1400/3259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2655/332, 1400/3259 i.e 5/1081988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2655/332, 1400/3259.
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 2655/332,1400/3259?
Given fractions are 2655/332,1400/3259
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 2655/332,1400/3259, numerators are 2655,1400
Denominators are 332,3259
The GCF of 2655,1400 is 5 .
LCM of 332,3259 is 1081988.
The greatest common factor of 2655/332,1400/3259 = [GCF of 2655,1400]/[LCM of 332,3259]= 5/1081988
Therefore, the GCF of 2655/332,1400/3259 is 5/1081988.
To find the highest common factor of 2655,1400, we have to find the factors of both numbers and list the highest common factor.
The factors of 2655 are 1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885, 2655
The factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400
The HCF of 2655,1400 is 5.
Lets's calculate GCF of 2655,1400
| 5 | 2655, 1400 |
| 531, 280 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2655,1400 By Matching Biggest Common Factor Method
Now, list down the factors of 2655
:1,3,5,9,15,45,59,177,295,531,885,2655
Now, list down the factors of 1400
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400
Greatest Common Factor
We found the factors 2655,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 2655,1400 is 5.
Lets's calculate LCM of 332,3259
Given numbers has no common factors except 1. So, there LCM is their product i.e 1081988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1081988
Therefore, the GCF of Fractions 2655/332,1400/3259 is 5/1081988
Least Common Multiple of 332,3259 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 332,3259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,3259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,3259) x common factors =1 x 1 = 1
LCM(332,3259) = ( 332 × 3259 ) / 1
LCM(332,3259) = 1081988 / 1
LCM(332,3259) = 1081988
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2655/332, 1400/3259
1. What is the HCF of 2655,1400?
The HCF of 2655,1400 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 2655/332, 1400/3259?
Answer: GCF of Numerators as per given numbers 2655/332, 1400/3259 is
GCF of Numerators i.e. for 2655,1400 is 5
LCM of denominators i.e. for 332,3259 is 1081988.
Thus, GCF of Fractions is 5/1081988.Finally, GCF of Fractions for 2655/332, 1400/3259 is 5/1081988.