GCF of 223/382, 3213/730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 223/382, 3213/730 i.e 1/139430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/382, 3213/730.
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 223/382,3213/730?
Given fractions are 223/382,3213/730
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 223/382,3213/730, numerators are 223,3213
Denominators are 382,730
The GCF of 223,3213 is 1 .
LCM of 382,730 is 139430.
The greatest common factor of 223/382,3213/730 = [GCF of 223,3213]/[LCM of 382,730]= 1/139430
Therefore, the GCF of 223/382,3213/730 is 1/139430.
To find the highest common factor of 223,3213, 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 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The HCF of 223,3213 is 1.
Lets's calculate GCF of 223,3213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 223,3213 By Matching Biggest Common Factor Method
Now, list down the factors of 223
:1,223
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Greatest Common Factor
We found the factors 223,3213 . The biggest common factor number is the GCF number.
So the greatest common factor 223,3213 is 1.
Lets's calculate LCM of 382,730
| 2 | 382, 730 |
| 191, 365 |
∴ So the LCM of the given numbers is 2 x 191 x 365 = 139430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139430
Therefore, the GCF of Fractions 223/382,3213/730 is 1/139430
Least Common Multiple of 382,730 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 382,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,730) x common factors =2 x 1 = 2
LCM(382,730) = ( 382 × 730 ) / 2
LCM(382,730) = 278860 / 2
LCM(382,730) = 139430
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FAQs on GCF of Fractions of 223/382, 3213/730
1. What is the HCF of 223,3213?
The HCF of 223,3213 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 223/382, 3213/730?
Answer: GCF of Numerators as per given numbers 223/382, 3213/730 is
GCF of Numerators i.e. for 223,3213 is 1
LCM of denominators i.e. for 382,730 is 139430.
Thus, GCF of Fractions is 1/139430.Finally, GCF of Fractions for 223/382, 3213/730 is 1/139430.