GCF of 2132/338, 7150/909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2132/338, 7150/909 i.e 26/307242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2132/338, 7150/909.
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 2132/338,7150/909?
Given fractions are 2132/338,7150/909
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 2132/338,7150/909, numerators are 2132,7150
Denominators are 338,909
The GCF of 2132,7150 is 26 .
LCM of 338,909 is 307242.
The greatest common factor of 2132/338,7150/909 = [GCF of 2132,7150]/[LCM of 338,909]= 26/307242
Therefore, the GCF of 2132/338,7150/909 is 26/307242.
To find the highest common factor of 2132,7150, we have to find the factors of both numbers and list the highest common factor.
The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The HCF of 2132,7150 is 26.
Lets's calculate GCF of 2132,7150
| 2 | 2132, 7150 |
| 13 | 1066, 3575 |
| 82, 275 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 2132,7150 By Matching Biggest Common Factor Method
Now, list down the factors of 2132
:1,2,4,13,26,41,52,82,164,533,1066,2132
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Greatest Common Factor
We found the factors 2132,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 2132,7150 is 26.
Lets's calculate LCM of 338,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 307242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/307242
Therefore, the GCF of Fractions 2132/338,7150/909 is 26/307242
Least Common Multiple of 338,909 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 338,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,909) x common factors =1 x 1 = 1
LCM(338,909) = ( 338 × 909 ) / 1
LCM(338,909) = 307242 / 1
LCM(338,909) = 307242
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2132/338, 7150/909
1. What is the HCF of 2132,7150?
The HCF of 2132,7150 is 26
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 2132/338, 7150/909?
Answer: GCF of Numerators as per given numbers 2132/338, 7150/909 is
GCF of Numerators i.e. for 2132,7150 is 26
LCM of denominators i.e. for 338,909 is 307242.
Thus, GCF of Fractions is 26/307242.Finally, GCF of Fractions for 2132/338, 7150/909 is 26/307242.