GCF of 66/924, 21/307, 477/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 66/924, 21/307, 477/675 i.e 3/63825300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/924, 21/307, 477/675.
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 66/924,21/307,477/675?
Given fractions are 66/924,21/307,477/675
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 66/924,21/307,477/675, numerators are 66,21,477
Denominators are 924,307,675
The GCF of 66,21,477 is 3 .
LCM of 924,307,675 is 63825300.
The greatest common factor of 66/924,21/307,477/675 = [GCF of 66,21,477]/[LCM of 924,307,675]= 3/63825300
Therefore, the GCF of 66/924,21/307,477/675 is 3/63825300.
To find the highest common factor of 66,21,477, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 21 are 1, 3, 7, 21
The factors of 477 are 1, 3, 9, 53, 159, 477
The HCF of 66,21,477 is 3.
Lets's calculate GCF of 66,21,477
| 3 | 66, 21, 477 |
| 22, 7, 159 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 66,21,477 By Matching Biggest Common Factor Method
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 477
:1,3,9,53,159,477
Greatest Common Factor
We found the factors 66,21,477 . The biggest common factor number is the GCF number.
So the greatest common factor 66,21,477 is 3.
Lets's calculate LCM of 924,307,675
| 3 | 924, 307, 675 |
| 308, 307, 225 |
∴ So the LCM of the given numbers is 3 x 308 x 307 x 225 = 63825300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/63825300
Therefore, the GCF of Fractions 66/924,21/307,477/675 is 3/63825300
Least Common Multiple of 924,307,675 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 924,307,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,307,675) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(924,307,675) x common factors =1 x 3 = 3
LCM(924,307,675) = ( 924 × 307 × 675 ) / 3
LCM(924,307,675) = 191475900 / 3
LCM(924,307,675) = 63825300
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FAQs on GCF of Fractions of 66/924, 21/307, 477/675
1. What is the HCF of 66,21,477?
The HCF of 66,21,477 is 3
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 66/924, 21/307, 477/675?
Answer: GCF of Numerators as per given numbers 66/924, 21/307, 477/675 is
GCF of Numerators i.e. for 66,21,477 is 3
LCM of denominators i.e. for 924,307,675 is 63825300.
Thus, GCF of Fractions is 3/63825300.Finally, GCF of Fractions for 66/924, 21/307, 477/675 is 3/63825300.