GCF of 162/446, 752/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 162/446, 752/338 i.e 2/75374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 162/446, 752/338.
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 162/446,752/338?
Given fractions are 162/446,752/338
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 162/446,752/338, numerators are 162,752
Denominators are 446,338
The GCF of 162,752 is 2 .
LCM of 446,338 is 75374.
The greatest common factor of 162/446,752/338 = [GCF of 162,752]/[LCM of 446,338]= 2/75374
Therefore, the GCF of 162/446,752/338 is 2/75374.
To find the highest common factor of 162,752, we have to find the factors of both numbers and list the highest common factor.
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 162,752 is 2.
Lets's calculate GCF of 162,752
| 2 | 162, 752 |
| 81, 376 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 162,752 By Matching Biggest Common Factor Method
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 162,752 . The biggest common factor number is the GCF number.
So the greatest common factor 162,752 is 2.
Lets's calculate LCM of 446,338
| 2 | 446, 338 |
| 223, 169 |
∴ So the LCM of the given numbers is 2 x 223 x 169 = 75374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75374
Therefore, the GCF of Fractions 162/446,752/338 is 2/75374
Least Common Multiple of 446,338 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 446,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,338) x common factors =2 x 1 = 2
LCM(446,338) = ( 446 × 338 ) / 2
LCM(446,338) = 150748 / 2
LCM(446,338) = 75374
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FAQs on GCF of Fractions of 162/446, 752/338
1. What is the HCF of 162,752?
The HCF of 162,752 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 162/446, 752/338?
Answer: GCF of Numerators as per given numbers 162/446, 752/338 is
GCF of Numerators i.e. for 162,752 is 2
LCM of denominators i.e. for 446,338 is 75374.
Thus, GCF of Fractions is 2/75374.Finally, GCF of Fractions for 162/446, 752/338 is 2/75374.