GCF of 182/572, 289/306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 182/572, 289/306 i.e 1/87516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 182/572, 289/306.
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 182/572,289/306?
Given fractions are 182/572,289/306
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 182/572,289/306, numerators are 182,289
Denominators are 572,306
The GCF of 182,289 is 1 .
LCM of 572,306 is 87516.
The greatest common factor of 182/572,289/306 = [GCF of 182,289]/[LCM of 572,306]= 1/87516
Therefore, the GCF of 182/572,289/306 is 1/87516.
To find the highest common factor of 182,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The factors of 289 are 1, 17, 289
The HCF of 182,289 is 1.
Lets's calculate GCF of 182,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 182,289 By Matching Biggest Common Factor Method
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 182,289 . The biggest common factor number is the GCF number.
So the greatest common factor 182,289 is 1.
Lets's calculate LCM of 572,306
| 2 | 572, 306 |
| 286, 153 |
∴ So the LCM of the given numbers is 2 x 286 x 153 = 87516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87516
Therefore, the GCF of Fractions 182/572,289/306 is 1/87516
Least Common Multiple of 572,306 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 572,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,306) x common factors =2 x 1 = 2
LCM(572,306) = ( 572 × 306 ) / 2
LCM(572,306) = 175032 / 2
LCM(572,306) = 87516
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FAQs on GCF of Fractions of 182/572, 289/306
1. What is the HCF of 182,289?
The HCF of 182,289 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 182/572, 289/306?
Answer: GCF of Numerators as per given numbers 182/572, 289/306 is
GCF of Numerators i.e. for 182,289 is 1
LCM of denominators i.e. for 572,306 is 87516.
Thus, GCF of Fractions is 1/87516.Finally, GCF of Fractions for 182/572, 289/306 is 1/87516.