GCF of 29/23, 522/91, 917/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 29/23, 522/91, 917/644 i.e 1/8372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/23, 522/91, 917/644.
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 29/23,522/91,917/644?
Given fractions are 29/23,522/91,917/644
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 29/23,522/91,917/644, numerators are 29,522,917
Denominators are 23,91,644
The GCF of 29,522,917 is 1 .
LCM of 23,91,644 is 8372.
The greatest common factor of 29/23,522/91,917/644 = [GCF of 29,522,917]/[LCM of 23,91,644]= 1/8372
Therefore, the GCF of 29/23,522/91,917/644 is 1/8372.
To find the highest common factor of 29,522,917, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
The factors of 917 are 1, 7, 131, 917
The HCF of 29,522,917 is 1.
Lets's calculate GCF of 29,522,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 29,522,917 By Matching Biggest Common Factor Method
Now, list down the factors of 29
:1,29
Now, list down the factors of 522
:1,2,3,6,9,18,29,58,87,174,261,522
Now, list down the factors of 917
:1,7,131,917
Greatest Common Factor
We found the factors 29,522,917 . The biggest common factor number is the GCF number.
So the greatest common factor 29,522,917 is 1.
Lets's calculate LCM of 23,91,644
| 7 | 23, 91, 644 |
| 23 | 23, 13, 92 |
| 1, 13, 4 |
∴ So the LCM of the given numbers is 7 x 23 x 1 x 13 x 4 = 8372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8372
Therefore, the GCF of Fractions 29/23,522/91,917/644 is 1/8372
Least Common Multiple of 23,91,644 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 23,91,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,91,644) = 1
common factors(in case of two or more numbers have common factors) = 161
GCF(23,91,644) x common factors =1 x 161 = 161
LCM(23,91,644) = ( 23 × 91 × 644 ) / 161
LCM(23,91,644) = 1347892 / 161
LCM(23,91,644) = 8372
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FAQs on GCF of Fractions of 29/23, 522/91, 917/644
1. What is the HCF of 29,522,917?
The HCF of 29,522,917 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 29/23, 522/91, 917/644?
Answer: GCF of Numerators as per given numbers 29/23, 522/91, 917/644 is
GCF of Numerators i.e. for 29,522,917 is 1
LCM of denominators i.e. for 23,91,644 is 8372.
Thus, GCF of Fractions is 1/8372.Finally, GCF of Fractions for 29/23, 522/91, 917/644 is 1/8372.