GCF of 17/533, 906/591, 931/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/533, 906/591, 931/819 i.e 1/6615063 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/533, 906/591, 931/819.
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 17/533,906/591,931/819?
Given fractions are 17/533,906/591,931/819
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 17/533,906/591,931/819, numerators are 17,906,931
Denominators are 533,591,819
The GCF of 17,906,931 is 1 .
LCM of 533,591,819 is 6615063.
The greatest common factor of 17/533,906/591,931/819 = [GCF of 17,906,931]/[LCM of 533,591,819]= 1/6615063
Therefore, the GCF of 17/533,906/591,931/819 is 1/6615063.
To find the highest common factor of 17,906,931, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The factors of 931 are 1, 7, 19, 49, 133, 931
The HCF of 17,906,931 is 1.
Lets's calculate GCF of 17,906,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,906,931 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Now, list down the factors of 931
:1,7,19,49,133,931
Greatest Common Factor
We found the factors 17,906,931 . The biggest common factor number is the GCF number.
So the greatest common factor 17,906,931 is 1.
Lets's calculate LCM of 533,591,819
| 3 | 533, 591, 819 |
| 13 | 533, 197, 273 |
| 41, 197, 21 |
∴ So the LCM of the given numbers is 3 x 13 x 41 x 197 x 21 = 6615063
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6615063
Therefore, the GCF of Fractions 17/533,906/591,931/819 is 1/6615063
Least Common Multiple of 533,591,819 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 533,591,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,591,819) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(533,591,819) x common factors =1 x 39 = 39
LCM(533,591,819) = ( 533 × 591 × 819 ) / 39
LCM(533,591,819) = 257987457 / 39
LCM(533,591,819) = 6615063
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FAQs on GCF of Fractions of 17/533, 906/591, 931/819
1. What is the HCF of 17,906,931?
The HCF of 17,906,931 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 17/533, 906/591, 931/819?
Answer: GCF of Numerators as per given numbers 17/533, 906/591, 931/819 is
GCF of Numerators i.e. for 17,906,931 is 1
LCM of denominators i.e. for 533,591,819 is 6615063.
Thus, GCF of Fractions is 1/6615063.Finally, GCF of Fractions for 17/533, 906/591, 931/819 is 1/6615063.