GCF of 38/656, 66/378, 404/601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 38/656, 66/378, 404/601 i.e 2/74514384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/656, 66/378, 404/601.
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 38/656,66/378,404/601?
Given fractions are 38/656,66/378,404/601
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 38/656,66/378,404/601, numerators are 38,66,404
Denominators are 656,378,601
The GCF of 38,66,404 is 2 .
LCM of 656,378,601 is 74514384.
The greatest common factor of 38/656,66/378,404/601 = [GCF of 38,66,404]/[LCM of 656,378,601]= 2/74514384
Therefore, the GCF of 38/656,66/378,404/601 is 2/74514384.
To find the highest common factor of 38,66,404, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 404 are 1, 2, 4, 101, 202, 404
The HCF of 38,66,404 is 2.
Lets's calculate GCF of 38,66,404
| 2 | 38, 66, 404 |
| 19, 33, 202 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 38,66,404 By Matching Biggest Common Factor Method
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 404
:1,2,4,101,202,404
Greatest Common Factor
We found the factors 38,66,404 . The biggest common factor number is the GCF number.
So the greatest common factor 38,66,404 is 2.
Lets's calculate LCM of 656,378,601
| 2 | 656, 378, 601 |
| 328, 189, 601 |
∴ So the LCM of the given numbers is 2 x 328 x 189 x 601 = 74514384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74514384
Therefore, the GCF of Fractions 38/656,66/378,404/601 is 2/74514384
Least Common Multiple of 656,378,601 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 656,378,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,378,601) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(656,378,601) x common factors =1 x 2 = 2
LCM(656,378,601) = ( 656 × 378 × 601 ) / 2
LCM(656,378,601) = 149028768 / 2
LCM(656,378,601) = 74514384
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FAQs on GCF of Fractions of 38/656, 66/378, 404/601
1. What is the HCF of 38,66,404?
The HCF of 38,66,404 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 38/656, 66/378, 404/601?
Answer: GCF of Numerators as per given numbers 38/656, 66/378, 404/601 is
GCF of Numerators i.e. for 38,66,404 is 2
LCM of denominators i.e. for 656,378,601 is 74514384.
Thus, GCF of Fractions is 2/74514384.Finally, GCF of Fractions for 38/656, 66/378, 404/601 is 2/74514384.