GCF of 2281/892, 8680/8192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2281/892, 8680/8192 i.e 1/1826816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2281/892, 8680/8192.
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 2281/892,8680/8192?
Given fractions are 2281/892,8680/8192
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 2281/892,8680/8192, numerators are 2281,8680
Denominators are 892,8192
The GCF of 2281,8680 is 1 .
LCM of 892,8192 is 1826816.
The greatest common factor of 2281/892,8680/8192 = [GCF of 2281,8680]/[LCM of 892,8192]= 1/1826816
Therefore, the GCF of 2281/892,8680/8192 is 1/1826816.
To find the highest common factor of 2281,8680, we have to find the factors of both numbers and list the highest common factor.
The factors of 2281 are 1, 2281
The factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680
The HCF of 2281,8680 is 1.
Lets's calculate GCF of 2281,8680
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2281,8680 By Matching Biggest Common Factor Method
Now, list down the factors of 2281
:1,2281
Now, list down the factors of 8680
:1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680
Greatest Common Factor
We found the factors 2281,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 2281,8680 is 1.
Lets's calculate LCM of 892,8192
| 2 | 892, 8192 |
| 2 | 446, 4096 |
| 223, 2048 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 2048 = 1826816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1826816
Therefore, the GCF of Fractions 2281/892,8680/8192 is 1/1826816
Least Common Multiple of 892,8192 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 892,8192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,8192) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,8192) x common factors =4 x 1 = 4
LCM(892,8192) = ( 892 × 8192 ) / 4
LCM(892,8192) = 7307264 / 4
LCM(892,8192) = 1826816
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FAQs on GCF of Fractions of 2281/892, 8680/8192
1. What is the HCF of 2281,8680?
The HCF of 2281,8680 is 1
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 2281/892, 8680/8192?
Answer: GCF of Numerators as per given numbers 2281/892, 8680/8192 is
GCF of Numerators i.e. for 2281,8680 is 1
LCM of denominators i.e. for 892,8192 is 1826816.
Thus, GCF of Fractions is 1/1826816.Finally, GCF of Fractions for 2281/892, 8680/8192 is 1/1826816.