GCF of 462/598, 121/186, 547/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 462/598, 121/186, 547/217 i.e 1/389298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/598, 121/186, 547/217.
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 462/598,121/186,547/217?
Given fractions are 462/598,121/186,547/217
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 462/598,121/186,547/217, numerators are 462,121,547
Denominators are 598,186,217
The GCF of 462,121,547 is 1 .
LCM of 598,186,217 is 389298.
The greatest common factor of 462/598,121/186,547/217 = [GCF of 462,121,547]/[LCM of 598,186,217]= 1/389298
Therefore, the GCF of 462/598,121/186,547/217 is 1/389298.
To find the highest common factor of 462,121,547, we have to find the factors of both numbers and list the highest common factor.
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The factors of 121 are 1, 11, 121
The factors of 547 are 1, 547
The HCF of 462,121,547 is 1.
Lets's calculate GCF of 462,121,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 462,121,547 By Matching Biggest Common Factor Method
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 547
:1,547
Greatest Common Factor
We found the factors 462,121,547 . The biggest common factor number is the GCF number.
So the greatest common factor 462,121,547 is 1.
Lets's calculate LCM of 598,186,217
| 2 | 598, 186, 217 |
| 31 | 299, 93, 217 |
| 299, 3, 7 |
∴ So the LCM of the given numbers is 2 x 31 x 299 x 3 x 7 = 389298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389298
Therefore, the GCF of Fractions 462/598,121/186,547/217 is 1/389298
Least Common Multiple of 598,186,217 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 598,186,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,186,217) = 1
common factors(in case of two or more numbers have common factors) = 62
GCF(598,186,217) x common factors =1 x 62 = 62
LCM(598,186,217) = ( 598 × 186 × 217 ) / 62
LCM(598,186,217) = 24136476 / 62
LCM(598,186,217) = 389298
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FAQs on GCF of Fractions of 462/598, 121/186, 547/217
1. What is the HCF of 462,121,547?
The HCF of 462,121,547 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 462/598, 121/186, 547/217?
Answer: GCF of Numerators as per given numbers 462/598, 121/186, 547/217 is
GCF of Numerators i.e. for 462,121,547 is 1
LCM of denominators i.e. for 598,186,217 is 389298.
Thus, GCF of Fractions is 1/389298.Finally, GCF of Fractions for 462/598, 121/186, 547/217 is 1/389298.