GCF of 223/177, 217/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 223/177, 217/324 i.e 1/19116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/177, 217/324.
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 223/177,217/324?
Given fractions are 223/177,217/324
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 223/177,217/324, numerators are 223,217
Denominators are 177,324
The GCF of 223,217 is 1 .
LCM of 177,324 is 19116.
The greatest common factor of 223/177,217/324 = [GCF of 223,217]/[LCM of 177,324]= 1/19116
Therefore, the GCF of 223/177,217/324 is 1/19116.
To find the highest common factor of 223,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 223 are 1, 223
The factors of 217 are 1, 7, 31, 217
The HCF of 223,217 is 1.
Lets's calculate GCF of 223,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 223,217 By Matching Biggest Common Factor Method
Now, list down the factors of 223
:1,223
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 223,217 . The biggest common factor number is the GCF number.
So the greatest common factor 223,217 is 1.
Lets's calculate LCM of 177,324
| 3 | 177, 324 |
| 59, 108 |
∴ So the LCM of the given numbers is 3 x 59 x 108 = 19116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19116
Therefore, the GCF of Fractions 223/177,217/324 is 1/19116
Least Common Multiple of 177,324 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 177,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,324) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,324) x common factors =3 x 1 = 3
LCM(177,324) = ( 177 × 324 ) / 3
LCM(177,324) = 57348 / 3
LCM(177,324) = 19116
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FAQs on GCF of Fractions of 223/177, 217/324
1. What is the HCF of 223,217?
The HCF of 223,217 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 223/177, 217/324?
Answer: GCF of Numerators as per given numbers 223/177, 217/324 is
GCF of Numerators i.e. for 223,217 is 1
LCM of denominators i.e. for 177,324 is 19116.
Thus, GCF of Fractions is 1/19116.Finally, GCF of Fractions for 223/177, 217/324 is 1/19116.