GCF of 3200/238, 8900/1934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3200/238, 8900/1934 i.e 100/230146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3200/238, 8900/1934.
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 3200/238,8900/1934?
Given fractions are 3200/238,8900/1934
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 3200/238,8900/1934, numerators are 3200,8900
Denominators are 238,1934
The GCF of 3200,8900 is 100 .
LCM of 238,1934 is 230146.
The greatest common factor of 3200/238,8900/1934 = [GCF of 3200,8900]/[LCM of 238,1934]= 100/230146
Therefore, the GCF of 3200/238,8900/1934 is 100/230146.
To find the highest common factor of 3200,8900, we have to find the factors of both numbers and list the highest common factor.
The factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200
The factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900
The HCF of 3200,8900 is 100.
Lets's calculate GCF of 3200,8900
| 2 | 3200, 8900 |
| 2 | 1600, 4450 |
| 5 | 800, 2225 |
| 5 | 160, 445 |
| 32, 89 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100
Greatest Common Factor of 3200,8900 By Matching Biggest Common Factor Method
Now, list down the factors of 3200
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200
Now, list down the factors of 8900
:1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900
Greatest Common Factor
We found the factors 3200,8900 . The biggest common factor number is the GCF number.
So the greatest common factor 3200,8900 is 100.
Lets's calculate LCM of 238,1934
| 2 | 238, 1934 |
| 119, 967 |
∴ So the LCM of the given numbers is 2 x 119 x 967 = 230146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/230146
Therefore, the GCF of Fractions 3200/238,8900/1934 is 100/230146
Least Common Multiple of 238,1934 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 238,1934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,1934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,1934) x common factors =2 x 1 = 2
LCM(238,1934) = ( 238 × 1934 ) / 2
LCM(238,1934) = 460292 / 2
LCM(238,1934) = 230146
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FAQs on GCF of Fractions of 3200/238, 8900/1934
1. What is the HCF of 3200,8900?
The HCF of 3200,8900 is 100
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 3200/238, 8900/1934?
Answer: GCF of Numerators as per given numbers 3200/238, 8900/1934 is
GCF of Numerators i.e. for 3200,8900 is 100
LCM of denominators i.e. for 238,1934 is 230146.
Thus, GCF of Fractions is 100/230146.Finally, GCF of Fractions for 3200/238, 8900/1934 is 100/230146.