GCF of 9432/375, 3904/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9432/375, 3904/724 i.e 8/271500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9432/375, 3904/724.
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 9432/375,3904/724?
Given fractions are 9432/375,3904/724
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 9432/375,3904/724, numerators are 9432,3904
Denominators are 375,724
The GCF of 9432,3904 is 8 .
LCM of 375,724 is 271500.
The greatest common factor of 9432/375,3904/724 = [GCF of 9432,3904]/[LCM of 375,724]= 8/271500
Therefore, the GCF of 9432/375,3904/724 is 8/271500.
To find the highest common factor of 9432,3904, we have to find the factors of both numbers and list the highest common factor.
The factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432
The factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904
The HCF of 9432,3904 is 8.
Lets's calculate GCF of 9432,3904
| 2 | 9432, 3904 |
| 2 | 4716, 1952 |
| 2 | 2358, 976 |
| 1179, 488 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9432,3904 By Matching Biggest Common Factor Method
Now, list down the factors of 9432
:1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432
Now, list down the factors of 3904
:1,2,4,8,16,32,61,64,122,244,488,976,1952,3904
Greatest Common Factor
We found the factors 9432,3904 . The biggest common factor number is the GCF number.
So the greatest common factor 9432,3904 is 8.
Lets's calculate LCM of 375,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 271500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/271500
Therefore, the GCF of Fractions 9432/375,3904/724 is 8/271500
Least Common Multiple of 375,724 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 375,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,724) x common factors =1 x 1 = 1
LCM(375,724) = ( 375 × 724 ) / 1
LCM(375,724) = 271500 / 1
LCM(375,724) = 271500
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FAQs on GCF of Fractions of 9432/375, 3904/724
1. What is the HCF of 9432,3904?
The HCF of 9432,3904 is 8
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 9432/375, 3904/724?
Answer: GCF of Numerators as per given numbers 9432/375, 3904/724 is
GCF of Numerators i.e. for 9432,3904 is 8
LCM of denominators i.e. for 375,724 is 271500.
Thus, GCF of Fractions is 8/271500.Finally, GCF of Fractions for 9432/375, 3904/724 is 8/271500.