GCF of 7168/238, 8234/3284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7168/238, 8234/3284 i.e 2/390796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7168/238, 8234/3284.
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 7168/238,8234/3284?
Given fractions are 7168/238,8234/3284
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 7168/238,8234/3284, numerators are 7168,8234
Denominators are 238,3284
The GCF of 7168,8234 is 2 .
LCM of 238,3284 is 390796.
The greatest common factor of 7168/238,8234/3284 = [GCF of 7168,8234]/[LCM of 238,3284]= 2/390796
Therefore, the GCF of 7168/238,8234/3284 is 2/390796.
To find the highest common factor of 7168,8234, we have to find the factors of both numbers and list the highest common factor.
The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168
The factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234
The HCF of 7168,8234 is 2.
Lets's calculate GCF of 7168,8234
| 2 | 7168, 8234 |
| 3584, 4117 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7168,8234 By Matching Biggest Common Factor Method
Now, list down the factors of 7168
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Now, list down the factors of 8234
:1,2,23,46,179,358,4117,8234
Greatest Common Factor
We found the factors 7168,8234 . The biggest common factor number is the GCF number.
So the greatest common factor 7168,8234 is 2.
Lets's calculate LCM of 238,3284
| 2 | 238, 3284 |
| 119, 1642 |
∴ So the LCM of the given numbers is 2 x 119 x 1642 = 390796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/390796
Therefore, the GCF of Fractions 7168/238,8234/3284 is 2/390796
Least Common Multiple of 238,3284 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 238,3284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,3284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,3284) x common factors =2 x 1 = 2
LCM(238,3284) = ( 238 × 3284 ) / 2
LCM(238,3284) = 781592 / 2
LCM(238,3284) = 390796
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7168/238, 8234/3284
1. What is the HCF of 7168,8234?
The HCF of 7168,8234 is 2
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 7168/238, 8234/3284?
Answer: GCF of Numerators as per given numbers 7168/238, 8234/3284 is
GCF of Numerators i.e. for 7168,8234 is 2
LCM of denominators i.e. for 238,3284 is 390796.
Thus, GCF of Fractions is 2/390796.Finally, GCF of Fractions for 7168/238, 8234/3284 is 2/390796.