GCF of 82/882, 694/860, 163/813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/882, 694/860, 163/813 i.e 1/102779460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/882, 694/860, 163/813.
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 82/882,694/860,163/813?
Given fractions are 82/882,694/860,163/813
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 82/882,694/860,163/813, numerators are 82,694,163
Denominators are 882,860,813
The GCF of 82,694,163 is 1 .
LCM of 882,860,813 is 102779460.
The greatest common factor of 82/882,694/860,163/813 = [GCF of 82,694,163]/[LCM of 882,860,813]= 1/102779460
Therefore, the GCF of 82/882,694/860,163/813 is 1/102779460.
To find the highest common factor of 82,694,163, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 694 are 1, 2, 347, 694
The factors of 163 are 1, 163
The HCF of 82,694,163 is 1.
Lets's calculate GCF of 82,694,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 82,694,163 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 694
:1,2,347,694
Now, list down the factors of 163
:1,163
Greatest Common Factor
We found the factors 82,694,163 . The biggest common factor number is the GCF number.
So the greatest common factor 82,694,163 is 1.
Lets's calculate LCM of 882,860,813
| 2 | 882, 860, 813 |
| 3 | 441, 430, 813 |
| 147, 430, 271 |
∴ So the LCM of the given numbers is 2 x 3 x 147 x 430 x 271 = 102779460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102779460
Therefore, the GCF of Fractions 82/882,694/860,163/813 is 1/102779460
Least Common Multiple of 882,860,813 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 882,860,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,860,813) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(882,860,813) x common factors =1 x 6 = 6
LCM(882,860,813) = ( 882 × 860 × 813 ) / 6
LCM(882,860,813) = 616676760 / 6
LCM(882,860,813) = 102779460
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FAQs on GCF of Fractions of 82/882, 694/860, 163/813
1. What is the HCF of 82,694,163?
The HCF of 82,694,163 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 82/882, 694/860, 163/813?
Answer: GCF of Numerators as per given numbers 82/882, 694/860, 163/813 is
GCF of Numerators i.e. for 82,694,163 is 1
LCM of denominators i.e. for 882,860,813 is 102779460.
Thus, GCF of Fractions is 1/102779460.Finally, GCF of Fractions for 82/882, 694/860, 163/813 is 1/102779460.