GCF of 4383/432, 9270/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4383/432, 9270/698 i.e 9/150768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4383/432, 9270/698.
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 4383/432,9270/698?
Given fractions are 4383/432,9270/698
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 4383/432,9270/698, numerators are 4383,9270
Denominators are 432,698
The GCF of 4383,9270 is 9 .
LCM of 432,698 is 150768.
The greatest common factor of 4383/432,9270/698 = [GCF of 4383,9270]/[LCM of 432,698]= 9/150768
Therefore, the GCF of 4383/432,9270/698 is 9/150768.
To find the highest common factor of 4383,9270, we have to find the factors of both numbers and list the highest common factor.
The factors of 4383 are 1, 3, 9, 487, 1461, 4383
The factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270
The HCF of 4383,9270 is 9.
Lets's calculate GCF of 4383,9270
| 3 | 4383, 9270 |
| 3 | 1461, 3090 |
| 487, 1030 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4383,9270 By Matching Biggest Common Factor Method
Now, list down the factors of 4383
:1,3,9,487,1461,4383
Now, list down the factors of 9270
:1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270
Greatest Common Factor
We found the factors 4383,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 4383,9270 is 9.
Lets's calculate LCM of 432,698
| 2 | 432, 698 |
| 216, 349 |
∴ So the LCM of the given numbers is 2 x 216 x 349 = 150768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/150768
Therefore, the GCF of Fractions 4383/432,9270/698 is 9/150768
Least Common Multiple of 432,698 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 432,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(432,698) x common factors =2 x 1 = 2
LCM(432,698) = ( 432 × 698 ) / 2
LCM(432,698) = 301536 / 2
LCM(432,698) = 150768
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FAQs on GCF of Fractions of 4383/432, 9270/698
1. What is the HCF of 4383,9270?
The HCF of 4383,9270 is 9
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 4383/432, 9270/698?
Answer: GCF of Numerators as per given numbers 4383/432, 9270/698 is
GCF of Numerators i.e. for 4383,9270 is 9
LCM of denominators i.e. for 432,698 is 150768.
Thus, GCF of Fractions is 9/150768.Finally, GCF of Fractions for 4383/432, 9270/698 is 9/150768.