GCF of 8288/345, 9344/2085
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8288/345, 9344/2085 i.e 32/47955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8288/345, 9344/2085.
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 8288/345,9344/2085?
Given fractions are 8288/345,9344/2085
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 8288/345,9344/2085, numerators are 8288,9344
Denominators are 345,2085
The GCF of 8288,9344 is 32 .
LCM of 345,2085 is 47955.
The greatest common factor of 8288/345,9344/2085 = [GCF of 8288,9344]/[LCM of 345,2085]= 32/47955
Therefore, the GCF of 8288/345,9344/2085 is 32/47955.
To find the highest common factor of 8288,9344, we have to find the factors of both numbers and list the highest common factor.
The factors of 8288 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144, 8288
The factors of 9344 are 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344
The HCF of 8288,9344 is 32.
Lets's calculate GCF of 8288,9344
| 2 | 8288, 9344 |
| 2 | 4144, 4672 |
| 2 | 2072, 2336 |
| 2 | 1036, 1168 |
| 2 | 518, 584 |
| 259, 292 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 8288,9344 By Matching Biggest Common Factor Method
Now, list down the factors of 8288
:1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288
Now, list down the factors of 9344
:1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344
Greatest Common Factor
We found the factors 8288,9344 . The biggest common factor number is the GCF number.
So the greatest common factor 8288,9344 is 32.
Lets's calculate LCM of 345,2085
| 3 | 345, 2085 |
| 5 | 115, 695 |
| 23, 139 |
∴ So the LCM of the given numbers is 3 x 5 x 23 x 139 = 47955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/47955
Therefore, the GCF of Fractions 8288/345,9344/2085 is 32/47955
Least Common Multiple of 345,2085 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 345,2085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,2085) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(345,2085) x common factors =15 x 1 = 15
LCM(345,2085) = ( 345 × 2085 ) / 15
LCM(345,2085) = 719325 / 15
LCM(345,2085) = 47955
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FAQs on GCF of Fractions of 8288/345, 9344/2085
1. What is the HCF of 8288,9344?
The HCF of 8288,9344 is 32
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 8288/345, 9344/2085?
Answer: GCF of Numerators as per given numbers 8288/345, 9344/2085 is
GCF of Numerators i.e. for 8288,9344 is 32
LCM of denominators i.e. for 345,2085 is 47955.
Thus, GCF of Fractions is 32/47955.Finally, GCF of Fractions for 8288/345, 9344/2085 is 32/47955.