GCF of 2175/220, 3400/5512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2175/220, 3400/5512 i.e 25/303160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2175/220, 3400/5512.
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 2175/220,3400/5512?
Given fractions are 2175/220,3400/5512
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 2175/220,3400/5512, numerators are 2175,3400
Denominators are 220,5512
The GCF of 2175,3400 is 25 .
LCM of 220,5512 is 303160.
The greatest common factor of 2175/220,3400/5512 = [GCF of 2175,3400]/[LCM of 220,5512]= 25/303160
Therefore, the GCF of 2175/220,3400/5512 is 25/303160.
To find the highest common factor of 2175,3400, we have to find the factors of both numbers and list the highest common factor.
The factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175
The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
The HCF of 2175,3400 is 25.
Lets's calculate GCF of 2175,3400
| 5 | 2175, 3400 |
| 5 | 435, 680 |
| 87, 136 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 2175,3400 By Matching Biggest Common Factor Method
Now, list down the factors of 2175
:1,3,5,15,25,29,75,87,145,435,725,2175
Now, list down the factors of 3400
:1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Greatest Common Factor
We found the factors 2175,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 2175,3400 is 25.
Lets's calculate LCM of 220,5512
| 2 | 220, 5512 |
| 2 | 110, 2756 |
| 55, 1378 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 1378 = 303160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/303160
Therefore, the GCF of Fractions 2175/220,3400/5512 is 25/303160
Least Common Multiple of 220,5512 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 220,5512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,5512) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,5512) x common factors =4 x 1 = 4
LCM(220,5512) = ( 220 × 5512 ) / 4
LCM(220,5512) = 1212640 / 4
LCM(220,5512) = 303160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2175/220, 3400/5512
1. What is the HCF of 2175,3400?
The HCF of 2175,3400 is 25
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 2175/220, 3400/5512?
Answer: GCF of Numerators as per given numbers 2175/220, 3400/5512 is
GCF of Numerators i.e. for 2175,3400 is 25
LCM of denominators i.e. for 220,5512 is 303160.
Thus, GCF of Fractions is 25/303160.Finally, GCF of Fractions for 2175/220, 3400/5512 is 25/303160.