GCF of 293/27, 491/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 293/27, 491/642 i.e 1/5778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 293/27, 491/642.
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 293/27,491/642?
Given fractions are 293/27,491/642
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 293/27,491/642, numerators are 293,491
Denominators are 27,642
The GCF of 293,491 is 1 .
LCM of 27,642 is 5778.
The greatest common factor of 293/27,491/642 = [GCF of 293,491]/[LCM of 27,642]= 1/5778
Therefore, the GCF of 293/27,491/642 is 1/5778.
To find the highest common factor of 293,491, we have to find the factors of both numbers and list the highest common factor.
The factors of 293 are 1, 293
The factors of 491 are 1, 491
The HCF of 293,491 is 1.
Lets's calculate GCF of 293,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 293,491 By Matching Biggest Common Factor Method
Now, list down the factors of 293
:1,293
Now, list down the factors of 491
:1,491
Greatest Common Factor
We found the factors 293,491 . The biggest common factor number is the GCF number.
So the greatest common factor 293,491 is 1.
Lets's calculate LCM of 27,642
| 3 | 27, 642 |
| 9, 214 |
∴ So the LCM of the given numbers is 3 x 9 x 214 = 5778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5778
Therefore, the GCF of Fractions 293/27,491/642 is 1/5778
Least Common Multiple of 27,642 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 27,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,642) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,642) x common factors =3 x 1 = 3
LCM(27,642) = ( 27 × 642 ) / 3
LCM(27,642) = 17334 / 3
LCM(27,642) = 5778
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FAQs on GCF of Fractions of 293/27, 491/642
1. What is the HCF of 293,491?
The HCF of 293,491 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 293/27, 491/642?
Answer: GCF of Numerators as per given numbers 293/27, 491/642 is
GCF of Numerators i.e. for 293,491 is 1
LCM of denominators i.e. for 27,642 is 5778.
Thus, GCF of Fractions is 1/5778.Finally, GCF of Fractions for 293/27, 491/642 is 1/5778.