GCF of 531/831, 445/257, 693/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 531/831, 445/257, 693/474 i.e 1/33743586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 531/831, 445/257, 693/474.
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 531/831,445/257,693/474?
Given fractions are 531/831,445/257,693/474
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 531/831,445/257,693/474, numerators are 531,445,693
Denominators are 831,257,474
The GCF of 531,445,693 is 1 .
LCM of 831,257,474 is 33743586.
The greatest common factor of 531/831,445/257,693/474 = [GCF of 531,445,693]/[LCM of 831,257,474]= 1/33743586
Therefore, the GCF of 531/831,445/257,693/474 is 1/33743586.
To find the highest common factor of 531,445,693, we have to find the factors of both numbers and list the highest common factor.
The factors of 531 are 1, 3, 9, 59, 177, 531
The factors of 445 are 1, 5, 89, 445
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The HCF of 531,445,693 is 1.
Lets's calculate GCF of 531,445,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 531,445,693 By Matching Biggest Common Factor Method
Now, list down the factors of 531
:1,3,9,59,177,531
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 531,445,693 . The biggest common factor number is the GCF number.
So the greatest common factor 531,445,693 is 1.
Lets's calculate LCM of 831,257,474
| 3 | 831, 257, 474 |
| 277, 257, 158 |
∴ So the LCM of the given numbers is 3 x 277 x 257 x 158 = 33743586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33743586
Therefore, the GCF of Fractions 531/831,445/257,693/474 is 1/33743586
Least Common Multiple of 831,257,474 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 831,257,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,257,474) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(831,257,474) x common factors =1 x 3 = 3
LCM(831,257,474) = ( 831 × 257 × 474 ) / 3
LCM(831,257,474) = 101230758 / 3
LCM(831,257,474) = 33743586
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FAQs on GCF of Fractions of 531/831, 445/257, 693/474
1. What is the HCF of 531,445,693?
The HCF of 531,445,693 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 531/831, 445/257, 693/474?
Answer: GCF of Numerators as per given numbers 531/831, 445/257, 693/474 is
GCF of Numerators i.e. for 531,445,693 is 1
LCM of denominators i.e. for 831,257,474 is 33743586.
Thus, GCF of Fractions is 1/33743586.Finally, GCF of Fractions for 531/831, 445/257, 693/474 is 1/33743586.