GCF of 281/74, 408/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 281/74, 408/294 i.e 1/10878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 281/74, 408/294.
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 281/74,408/294?
Given fractions are 281/74,408/294
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 281/74,408/294, numerators are 281,408
Denominators are 74,294
The GCF of 281,408 is 1 .
LCM of 74,294 is 10878.
The greatest common factor of 281/74,408/294 = [GCF of 281,408]/[LCM of 74,294]= 1/10878
Therefore, the GCF of 281/74,408/294 is 1/10878.
To find the highest common factor of 281,408, we have to find the factors of both numbers and list the highest common factor.
The factors of 281 are 1, 281
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The HCF of 281,408 is 1.
Lets's calculate GCF of 281,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 281,408 By Matching Biggest Common Factor Method
Now, list down the factors of 281
:1,281
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 281,408 . The biggest common factor number is the GCF number.
So the greatest common factor 281,408 is 1.
Lets's calculate LCM of 74,294
| 2 | 74, 294 |
| 37, 147 |
∴ So the LCM of the given numbers is 2 x 37 x 147 = 10878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10878
Therefore, the GCF of Fractions 281/74,408/294 is 1/10878
Least Common Multiple of 74,294 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 74,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,294) x common factors =2 x 1 = 2
LCM(74,294) = ( 74 × 294 ) / 2
LCM(74,294) = 21756 / 2
LCM(74,294) = 10878
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 281/74, 408/294
1. What is the HCF of 281,408?
The HCF of 281,408 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 281/74, 408/294?
Answer: GCF of Numerators as per given numbers 281/74, 408/294 is
GCF of Numerators i.e. for 281,408 is 1
LCM of denominators i.e. for 74,294 is 10878.
Thus, GCF of Fractions is 1/10878.Finally, GCF of Fractions for 281/74, 408/294 is 1/10878.