GCF of 8877/736, 2103/8192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8877/736, 2103/8192 i.e 3/188416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8877/736, 2103/8192.
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 8877/736,2103/8192?
Given fractions are 8877/736,2103/8192
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 8877/736,2103/8192, numerators are 8877,2103
Denominators are 736,8192
The GCF of 8877,2103 is 3 .
LCM of 736,8192 is 188416.
The greatest common factor of 8877/736,2103/8192 = [GCF of 8877,2103]/[LCM of 736,8192]= 3/188416
Therefore, the GCF of 8877/736,2103/8192 is 3/188416.
To find the highest common factor of 8877,2103, we have to find the factors of both numbers and list the highest common factor.
The factors of 8877 are 1, 3, 11, 33, 269, 807, 2959, 8877
The factors of 2103 are 1, 3, 701, 2103
The HCF of 8877,2103 is 3.
Lets's calculate GCF of 8877,2103
| 3 | 8877, 2103 |
| 2959, 701 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8877,2103 By Matching Biggest Common Factor Method
Now, list down the factors of 8877
:1,3,11,33,269,807,2959,8877
Now, list down the factors of 2103
:1,3,701,2103
Greatest Common Factor
We found the factors 8877,2103 . The biggest common factor number is the GCF number.
So the greatest common factor 8877,2103 is 3.
Lets's calculate LCM of 736,8192
| 2 | 736, 8192 |
| 2 | 368, 4096 |
| 2 | 184, 2048 |
| 2 | 92, 1024 |
| 2 | 46, 512 |
| 23, 256 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 23 x 256 = 188416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/188416
Therefore, the GCF of Fractions 8877/736,2103/8192 is 3/188416
Least Common Multiple of 736,8192 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 736,8192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,8192) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(736,8192) x common factors =32 x 1 = 32
LCM(736,8192) = ( 736 × 8192 ) / 32
LCM(736,8192) = 6029312 / 32
LCM(736,8192) = 188416
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FAQs on GCF of Fractions of 8877/736, 2103/8192
1. What is the HCF of 8877,2103?
The HCF of 8877,2103 is 3
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 8877/736, 2103/8192?
Answer: GCF of Numerators as per given numbers 8877/736, 2103/8192 is
GCF of Numerators i.e. for 8877,2103 is 3
LCM of denominators i.e. for 736,8192 is 188416.
Thus, GCF of Fractions is 3/188416.Finally, GCF of Fractions for 8877/736, 2103/8192 is 3/188416.