GCF of 4732/784, 1005/466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4732/784, 1005/466 i.e 1/182672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4732/784, 1005/466.
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 4732/784,1005/466?
Given fractions are 4732/784,1005/466
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 4732/784,1005/466, numerators are 4732,1005
Denominators are 784,466
The GCF of 4732,1005 is 1 .
LCM of 784,466 is 182672.
The greatest common factor of 4732/784,1005/466 = [GCF of 4732,1005]/[LCM of 784,466]= 1/182672
Therefore, the GCF of 4732/784,1005/466 is 1/182672.
To find the highest common factor of 4732,1005, we have to find the factors of both numbers and list the highest common factor.
The factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005
The HCF of 4732,1005 is 1.
Lets's calculate GCF of 4732,1005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4732,1005 By Matching Biggest Common Factor Method
Now, list down the factors of 4732
:1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732
Now, list down the factors of 1005
:1,3,5,15,67,201,335,1005
Greatest Common Factor
We found the factors 4732,1005 . The biggest common factor number is the GCF number.
So the greatest common factor 4732,1005 is 1.
Lets's calculate LCM of 784,466
| 2 | 784, 466 |
| 392, 233 |
∴ So the LCM of the given numbers is 2 x 392 x 233 = 182672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182672
Therefore, the GCF of Fractions 4732/784,1005/466 is 1/182672
Least Common Multiple of 784,466 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 784,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,466) x common factors =2 x 1 = 2
LCM(784,466) = ( 784 × 466 ) / 2
LCM(784,466) = 365344 / 2
LCM(784,466) = 182672
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FAQs on GCF of Fractions of 4732/784, 1005/466
1. What is the HCF of 4732,1005?
The HCF of 4732,1005 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 4732/784, 1005/466?
Answer: GCF of Numerators as per given numbers 4732/784, 1005/466 is
GCF of Numerators i.e. for 4732,1005 is 1
LCM of denominators i.e. for 784,466 is 182672.
Thus, GCF of Fractions is 1/182672.Finally, GCF of Fractions for 4732/784, 1005/466 is 1/182672.