GCF of 8936/894, 4792/6706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8936/894, 4792/6706 i.e 8/2997582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8936/894, 4792/6706.
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 8936/894,4792/6706?
Given fractions are 8936/894,4792/6706
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 8936/894,4792/6706, numerators are 8936,4792
Denominators are 894,6706
The GCF of 8936,4792 is 8 .
LCM of 894,6706 is 2997582.
The greatest common factor of 8936/894,4792/6706 = [GCF of 8936,4792]/[LCM of 894,6706]= 8/2997582
Therefore, the GCF of 8936/894,4792/6706 is 8/2997582.
To find the highest common factor of 8936,4792, we have to find the factors of both numbers and list the highest common factor.
The factors of 8936 are 1, 2, 4, 8, 1117, 2234, 4468, 8936
The factors of 4792 are 1, 2, 4, 8, 599, 1198, 2396, 4792
The HCF of 8936,4792 is 8.
Lets's calculate GCF of 8936,4792
| 2 | 8936, 4792 |
| 2 | 4468, 2396 |
| 2 | 2234, 1198 |
| 1117, 599 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8936,4792 By Matching Biggest Common Factor Method
Now, list down the factors of 8936
:1,2,4,8,1117,2234,4468,8936
Now, list down the factors of 4792
:1,2,4,8,599,1198,2396,4792
Greatest Common Factor
We found the factors 8936,4792 . The biggest common factor number is the GCF number.
So the greatest common factor 8936,4792 is 8.
Lets's calculate LCM of 894,6706
| 2 | 894, 6706 |
| 447, 3353 |
∴ So the LCM of the given numbers is 2 x 447 x 3353 = 2997582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2997582
Therefore, the GCF of Fractions 8936/894,4792/6706 is 8/2997582
Least Common Multiple of 894,6706 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 894,6706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,6706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,6706) x common factors =2 x 1 = 2
LCM(894,6706) = ( 894 × 6706 ) / 2
LCM(894,6706) = 5995164 / 2
LCM(894,6706) = 2997582
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FAQs on GCF of Fractions of 8936/894, 4792/6706
1. What is the HCF of 8936,4792?
The HCF of 8936,4792 is 8
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 8936/894, 4792/6706?
Answer: GCF of Numerators as per given numbers 8936/894, 4792/6706 is
GCF of Numerators i.e. for 8936,4792 is 8
LCM of denominators i.e. for 894,6706 is 2997582.
Thus, GCF of Fractions is 8/2997582.Finally, GCF of Fractions for 8936/894, 4792/6706 is 8/2997582.