GCF of 1467/819, 9408/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1467/819, 9408/229 i.e 3/187551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1467/819, 9408/229.
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 1467/819,9408/229?
Given fractions are 1467/819,9408/229
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 1467/819,9408/229, numerators are 1467,9408
Denominators are 819,229
The GCF of 1467,9408 is 3 .
LCM of 819,229 is 187551.
The greatest common factor of 1467/819,9408/229 = [GCF of 1467,9408]/[LCM of 819,229]= 3/187551
Therefore, the GCF of 1467/819,9408/229 is 3/187551.
To find the highest common factor of 1467,9408, we have to find the factors of both numbers and list the highest common factor.
The factors of 1467 are 1, 3, 9, 163, 489, 1467
The factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408
The HCF of 1467,9408 is 3.
Lets's calculate GCF of 1467,9408
| 3 | 1467, 9408 |
| 489, 3136 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1467,9408 By Matching Biggest Common Factor Method
Now, list down the factors of 1467
:1,3,9,163,489,1467
Now, list down the factors of 9408
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408
Greatest Common Factor
We found the factors 1467,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 1467,9408 is 3.
Lets's calculate LCM of 819,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 187551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/187551
Therefore, the GCF of Fractions 1467/819,9408/229 is 3/187551
Least Common Multiple of 819,229 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 819,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,229) x common factors =1 x 1 = 1
LCM(819,229) = ( 819 × 229 ) / 1
LCM(819,229) = 187551 / 1
LCM(819,229) = 187551
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FAQs on GCF of Fractions of 1467/819, 9408/229
1. What is the HCF of 1467,9408?
The HCF of 1467,9408 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 1467/819, 9408/229?
Answer: GCF of Numerators as per given numbers 1467/819, 9408/229 is
GCF of Numerators i.e. for 1467,9408 is 3
LCM of denominators i.e. for 819,229 is 187551.
Thus, GCF of Fractions is 3/187551.Finally, GCF of Fractions for 1467/819, 9408/229 is 3/187551.