GCF of 817/22, 288/9172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 817/22, 288/9172 i.e 1/100892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 817/22, 288/9172.
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 817/22,288/9172?
Given fractions are 817/22,288/9172
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 817/22,288/9172, numerators are 817,288
Denominators are 22,9172
The GCF of 817,288 is 1 .
LCM of 22,9172 is 100892.
The greatest common factor of 817/22,288/9172 = [GCF of 817,288]/[LCM of 22,9172]= 1/100892
Therefore, the GCF of 817/22,288/9172 is 1/100892.
To find the highest common factor of 817,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 817 are 1, 19, 43, 817
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 817,288 is 1.
Lets's calculate GCF of 817,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 817,288 By Matching Biggest Common Factor Method
Now, list down the factors of 817
:1,19,43,817
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 817,288 . The biggest common factor number is the GCF number.
So the greatest common factor 817,288 is 1.
Lets's calculate LCM of 22,9172
| 2 | 22, 9172 |
| 11, 4586 |
∴ So the LCM of the given numbers is 2 x 11 x 4586 = 100892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100892
Therefore, the GCF of Fractions 817/22,288/9172 is 1/100892
Least Common Multiple of 22,9172 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 22,9172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,9172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,9172) x common factors =2 x 1 = 2
LCM(22,9172) = ( 22 × 9172 ) / 2
LCM(22,9172) = 201784 / 2
LCM(22,9172) = 100892
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FAQs on GCF of Fractions of 817/22, 288/9172
1. What is the HCF of 817,288?
The HCF of 817,288 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 817/22, 288/9172?
Answer: GCF of Numerators as per given numbers 817/22, 288/9172 is
GCF of Numerators i.e. for 817,288 is 1
LCM of denominators i.e. for 22,9172 is 100892.
Thus, GCF of Fractions is 1/100892.Finally, GCF of Fractions for 817/22, 288/9172 is 1/100892.