GCF of 96/36, 104/25, 182/897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/36, 104/25, 182/897 i.e 2/269100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/36, 104/25, 182/897.
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 96/36,104/25,182/897?
Given fractions are 96/36,104/25,182/897
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 96/36,104/25,182/897, numerators are 96,104,182
Denominators are 36,25,897
The GCF of 96,104,182 is 2 .
LCM of 36,25,897 is 269100.
The greatest common factor of 96/36,104/25,182/897 = [GCF of 96,104,182]/[LCM of 36,25,897]= 2/269100
Therefore, the GCF of 96/36,104/25,182/897 is 2/269100.
To find the highest common factor of 96,104,182, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 96,104,182 is 2.
Lets's calculate GCF of 96,104,182
| 2 | 96, 104, 182 |
| 48, 52, 91 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 96,104,182 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 96,104,182 . The biggest common factor number is the GCF number.
So the greatest common factor 96,104,182 is 2.
Lets's calculate LCM of 36,25,897
| 3 | 36, 25, 897 |
| 12, 25, 299 |
∴ So the LCM of the given numbers is 3 x 12 x 25 x 299 = 269100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/269100
Therefore, the GCF of Fractions 96/36,104/25,182/897 is 2/269100
Least Common Multiple of 36,25,897 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 36,25,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,25,897) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(36,25,897) x common factors =1 x 3 = 3
LCM(36,25,897) = ( 36 × 25 × 897 ) / 3
LCM(36,25,897) = 807300 / 3
LCM(36,25,897) = 269100
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FAQs on GCF of Fractions of 96/36, 104/25, 182/897
1. What is the HCF of 96,104,182?
The HCF of 96,104,182 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 96/36, 104/25, 182/897?
Answer: GCF of Numerators as per given numbers 96/36, 104/25, 182/897 is
GCF of Numerators i.e. for 96,104,182 is 2
LCM of denominators i.e. for 36,25,897 is 269100.
Thus, GCF of Fractions is 2/269100.Finally, GCF of Fractions for 96/36, 104/25, 182/897 is 2/269100.