GCF of 8904/782, 1466/9333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8904/782, 1466/9333 i.e 2/429318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8904/782, 1466/9333.
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 8904/782,1466/9333?
Given fractions are 8904/782,1466/9333
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 8904/782,1466/9333, numerators are 8904,1466
Denominators are 782,9333
The GCF of 8904,1466 is 2 .
LCM of 782,9333 is 429318.
The greatest common factor of 8904/782,1466/9333 = [GCF of 8904,1466]/[LCM of 782,9333]= 2/429318
Therefore, the GCF of 8904/782,1466/9333 is 2/429318.
To find the highest common factor of 8904,1466, we have to find the factors of both numbers and list the highest common factor.
The factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904
The factors of 1466 are 1, 2, 733, 1466
The HCF of 8904,1466 is 2.
Lets's calculate GCF of 8904,1466
| 2 | 8904, 1466 |
| 4452, 733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8904,1466 By Matching Biggest Common Factor Method
Now, list down the factors of 8904
:1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904
Now, list down the factors of 1466
:1,2,733,1466
Greatest Common Factor
We found the factors 8904,1466 . The biggest common factor number is the GCF number.
So the greatest common factor 8904,1466 is 2.
Lets's calculate LCM of 782,9333
| 17 | 782, 9333 |
| 46, 549 |
∴ So the LCM of the given numbers is 17 x 46 x 549 = 429318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/429318
Therefore, the GCF of Fractions 8904/782,1466/9333 is 2/429318
Least Common Multiple of 782,9333 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 782,9333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,9333) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(782,9333) x common factors =17 x 1 = 17
LCM(782,9333) = ( 782 × 9333 ) / 17
LCM(782,9333) = 7298406 / 17
LCM(782,9333) = 429318
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FAQs on GCF of Fractions of 8904/782, 1466/9333
1. What is the HCF of 8904,1466?
The HCF of 8904,1466 is 2
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 8904/782, 1466/9333?
Answer: GCF of Numerators as per given numbers 8904/782, 1466/9333 is
GCF of Numerators i.e. for 8904,1466 is 2
LCM of denominators i.e. for 782,9333 is 429318.
Thus, GCF of Fractions is 2/429318.Finally, GCF of Fractions for 8904/782, 1466/9333 is 2/429318.