GCF of 1573/594, 7682/882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1573/594, 7682/882 i.e 1/29106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1573/594, 7682/882.
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 1573/594,7682/882?
Given fractions are 1573/594,7682/882
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 1573/594,7682/882, numerators are 1573,7682
Denominators are 594,882
The GCF of 1573,7682 is 1 .
LCM of 594,882 is 29106.
The greatest common factor of 1573/594,7682/882 = [GCF of 1573,7682]/[LCM of 594,882]= 1/29106
Therefore, the GCF of 1573/594,7682/882 is 1/29106.
To find the highest common factor of 1573,7682, we have to find the factors of both numbers and list the highest common factor.
The factors of 1573 are 1, 11, 13, 121, 143, 1573
The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682
The HCF of 1573,7682 is 1.
Lets's calculate GCF of 1573,7682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1573,7682 By Matching Biggest Common Factor Method
Now, list down the factors of 1573
:1,11,13,121,143,1573
Now, list down the factors of 7682
:1,2,23,46,167,334,3841,7682
Greatest Common Factor
We found the factors 1573,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 1573,7682 is 1.
Lets's calculate LCM of 594,882
| 2 | 594, 882 |
| 3 | 297, 441 |
| 3 | 99, 147 |
| 33, 49 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 33 x 49 = 29106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29106
Therefore, the GCF of Fractions 1573/594,7682/882 is 1/29106
Least Common Multiple of 594,882 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 594,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,882) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(594,882) x common factors =18 x 1 = 18
LCM(594,882) = ( 594 × 882 ) / 18
LCM(594,882) = 523908 / 18
LCM(594,882) = 29106
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FAQs on GCF of Fractions of 1573/594, 7682/882
1. What is the HCF of 1573,7682?
The HCF of 1573,7682 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 1573/594, 7682/882?
Answer: GCF of Numerators as per given numbers 1573/594, 7682/882 is
GCF of Numerators i.e. for 1573,7682 is 1
LCM of denominators i.e. for 594,882 is 29106.
Thus, GCF of Fractions is 1/29106.Finally, GCF of Fractions for 1573/594, 7682/882 is 1/29106.