GCF of 336/975, 732/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/975, 732/189 i.e 12/61425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/975, 732/189.
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 336/975,732/189?
Given fractions are 336/975,732/189
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 336/975,732/189, numerators are 336,732
Denominators are 975,189
The GCF of 336,732 is 12 .
LCM of 975,189 is 61425.
The greatest common factor of 336/975,732/189 = [GCF of 336,732]/[LCM of 975,189]= 12/61425
Therefore, the GCF of 336/975,732/189 is 12/61425.
To find the highest common factor of 336,732, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The HCF of 336,732 is 12.
Lets's calculate GCF of 336,732
| 2 | 336, 732 |
| 2 | 168, 366 |
| 3 | 84, 183 |
| 28, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 336,732 By Matching Biggest Common Factor Method
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 336,732 . The biggest common factor number is the GCF number.
So the greatest common factor 336,732 is 12.
Lets's calculate LCM of 975,189
| 3 | 975, 189 |
| 325, 63 |
∴ So the LCM of the given numbers is 3 x 325 x 63 = 61425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/61425
Therefore, the GCF of Fractions 336/975,732/189 is 12/61425
Least Common Multiple of 975,189 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 975,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,189) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,189) x common factors =3 x 1 = 3
LCM(975,189) = ( 975 × 189 ) / 3
LCM(975,189) = 184275 / 3
LCM(975,189) = 61425
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FAQs on GCF of Fractions of 336/975, 732/189
1. What is the HCF of 336,732?
The HCF of 336,732 is 12
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 336/975, 732/189?
Answer: GCF of Numerators as per given numbers 336/975, 732/189 is
GCF of Numerators i.e. for 336,732 is 12
LCM of denominators i.e. for 975,189 is 61425.
Thus, GCF of Fractions is 12/61425.Finally, GCF of Fractions for 336/975, 732/189 is 12/61425.