GCF of 4976/876, 8192/9572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4976/876, 8192/9572 i.e 16/2096268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4976/876, 8192/9572.
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 4976/876,8192/9572?
Given fractions are 4976/876,8192/9572
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 4976/876,8192/9572, numerators are 4976,8192
Denominators are 876,9572
The GCF of 4976,8192 is 16 .
LCM of 876,9572 is 2096268.
The greatest common factor of 4976/876,8192/9572 = [GCF of 4976,8192]/[LCM of 876,9572]= 16/2096268
Therefore, the GCF of 4976/876,8192/9572 is 16/2096268.
To find the highest common factor of 4976,8192, we have to find the factors of both numbers and list the highest common factor.
The factors of 4976 are 1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976
The factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
The HCF of 4976,8192 is 16.
Lets's calculate GCF of 4976,8192
| 2 | 4976, 8192 |
| 2 | 2488, 4096 |
| 2 | 1244, 2048 |
| 2 | 622, 1024 |
| 311, 512 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4976,8192 By Matching Biggest Common Factor Method
Now, list down the factors of 4976
:1,2,4,8,16,311,622,1244,2488,4976
Now, list down the factors of 8192
:1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192
Greatest Common Factor
We found the factors 4976,8192 . The biggest common factor number is the GCF number.
So the greatest common factor 4976,8192 is 16.
Lets's calculate LCM of 876,9572
| 2 | 876, 9572 |
| 2 | 438, 4786 |
| 219, 2393 |
∴ So the LCM of the given numbers is 2 x 2 x 219 x 2393 = 2096268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2096268
Therefore, the GCF of Fractions 4976/876,8192/9572 is 16/2096268
Least Common Multiple of 876,9572 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 876,9572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,9572) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(876,9572) x common factors =4 x 1 = 4
LCM(876,9572) = ( 876 × 9572 ) / 4
LCM(876,9572) = 8385072 / 4
LCM(876,9572) = 2096268
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FAQs on GCF of Fractions of 4976/876, 8192/9572
1. What is the HCF of 4976,8192?
The HCF of 4976,8192 is 16
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 4976/876, 8192/9572?
Answer: GCF of Numerators as per given numbers 4976/876, 8192/9572 is
GCF of Numerators i.e. for 4976,8192 is 16
LCM of denominators i.e. for 876,9572 is 2096268.
Thus, GCF of Fractions is 16/2096268.Finally, GCF of Fractions for 4976/876, 8192/9572 is 16/2096268.