GCF of 655/233, 9432/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 655/233, 9432/256 i.e 131/59648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/233, 9432/256.
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 655/233,9432/256?
Given fractions are 655/233,9432/256
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 655/233,9432/256, numerators are 655,9432
Denominators are 233,256
The GCF of 655,9432 is 131 .
LCM of 233,256 is 59648.
The greatest common factor of 655/233,9432/256 = [GCF of 655,9432]/[LCM of 233,256]= 131/59648
Therefore, the GCF of 655/233,9432/256 is 131/59648.
To find the highest common factor of 655,9432, we have to find the factors of both numbers and list the highest common factor.
The factors of 655 are 1, 5, 131, 655
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 HCF of 655,9432 is 131.
Lets's calculate GCF of 655,9432
| 131 | 655, 9432 |
| 5, 72 |
∴ So the GCF of the given numbers is 131 = 131
Greatest Common Factor of 655,9432 By Matching Biggest Common Factor Method
Now, list down the factors of 655
:1,5,131,655
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
Greatest Common Factor
We found the factors 655,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 655,9432 is 131.
Lets's calculate LCM of 233,256
Given numbers has no common factors except 1. So, there LCM is their product i.e 59648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 131/59648
Therefore, the GCF of Fractions 655/233,9432/256 is 131/59648
Least Common Multiple of 233,256 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 233,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,256) x common factors =1 x 1 = 1
LCM(233,256) = ( 233 × 256 ) / 1
LCM(233,256) = 59648 / 1
LCM(233,256) = 59648
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FAQs on GCF of Fractions of 655/233, 9432/256
1. What is the HCF of 655,9432?
The HCF of 655,9432 is 131
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 655/233, 9432/256?
Answer: GCF of Numerators as per given numbers 655/233, 9432/256 is
GCF of Numerators i.e. for 655,9432 is 131
LCM of denominators i.e. for 233,256 is 59648.
Thus, GCF of Fractions is 131/59648.Finally, GCF of Fractions for 655/233, 9432/256 is 131/59648.