GCF of 388/36, 645/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 388/36, 645/414 i.e 1/828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/36, 645/414.
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 388/36,645/414?
Given fractions are 388/36,645/414
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 388/36,645/414, numerators are 388,645
Denominators are 36,414
The GCF of 388,645 is 1 .
LCM of 36,414 is 828.
The greatest common factor of 388/36,645/414 = [GCF of 388,645]/[LCM of 36,414]= 1/828
Therefore, the GCF of 388/36,645/414 is 1/828.
To find the highest common factor of 388,645, we have to find the factors of both numbers and list the highest common factor.
The factors of 388 are 1, 2, 4, 97, 194, 388
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The HCF of 388,645 is 1.
Lets's calculate GCF of 388,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 388,645 By Matching Biggest Common Factor Method
Now, list down the factors of 388
:1,2,4,97,194,388
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 388,645 . The biggest common factor number is the GCF number.
So the greatest common factor 388,645 is 1.
Lets's calculate LCM of 36,414
| 2 | 36, 414 |
| 3 | 18, 207 |
| 3 | 6, 69 |
| 2, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 23 = 828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828
Therefore, the GCF of Fractions 388/36,645/414 is 1/828
Least Common Multiple of 36,414 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 36,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,414) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(36,414) x common factors =18 x 1 = 18
LCM(36,414) = ( 36 × 414 ) / 18
LCM(36,414) = 14904 / 18
LCM(36,414) = 828
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FAQs on GCF of Fractions of 388/36, 645/414
1. What is the HCF of 388,645?
The HCF of 388,645 is 1
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 388/36, 645/414?
Answer: GCF of Numerators as per given numbers 388/36, 645/414 is
GCF of Numerators i.e. for 388,645 is 1
LCM of denominators i.e. for 36,414 is 828.
Thus, GCF of Fractions is 1/828.Finally, GCF of Fractions for 388/36, 645/414 is 1/828.