GCF of 361/642, 408/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 361/642, 408/153 i.e 1/32742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 361/642, 408/153.
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 361/642,408/153?
Given fractions are 361/642,408/153
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 361/642,408/153, numerators are 361,408
Denominators are 642,153
The GCF of 361,408 is 1 .
LCM of 642,153 is 32742.
The greatest common factor of 361/642,408/153 = [GCF of 361,408]/[LCM of 642,153]= 1/32742
Therefore, the GCF of 361/642,408/153 is 1/32742.
To find the highest common factor of 361,408, we have to find the factors of both numbers and list the highest common factor.
The factors of 361 are 1, 19, 361
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The HCF of 361,408 is 1.
Lets's calculate GCF of 361,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 361,408 By Matching Biggest Common Factor Method
Now, list down the factors of 361
:1,19,361
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 361,408 . The biggest common factor number is the GCF number.
So the greatest common factor 361,408 is 1.
Lets's calculate LCM of 642,153
| 3 | 642, 153 |
| 214, 51 |
∴ So the LCM of the given numbers is 3 x 214 x 51 = 32742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32742
Therefore, the GCF of Fractions 361/642,408/153 is 1/32742
Least Common Multiple of 642,153 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 642,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,153) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,153) x common factors =3 x 1 = 3
LCM(642,153) = ( 642 × 153 ) / 3
LCM(642,153) = 98226 / 3
LCM(642,153) = 32742
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FAQs on GCF of Fractions of 361/642, 408/153
1. What is the HCF of 361,408?
The HCF of 361,408 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 361/642, 408/153?
Answer: GCF of Numerators as per given numbers 361/642, 408/153 is
GCF of Numerators i.e. for 361,408 is 1
LCM of denominators i.e. for 642,153 is 32742.
Thus, GCF of Fractions is 1/32742.Finally, GCF of Fractions for 361/642, 408/153 is 1/32742.