GCF of 6622/593, 3870/8849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6622/593, 3870/8849 i.e 86/5247457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6622/593, 3870/8849.
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 6622/593,3870/8849?
Given fractions are 6622/593,3870/8849
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 6622/593,3870/8849, numerators are 6622,3870
Denominators are 593,8849
The GCF of 6622,3870 is 86 .
LCM of 593,8849 is 5247457.
The greatest common factor of 6622/593,3870/8849 = [GCF of 6622,3870]/[LCM of 593,8849]= 86/5247457
Therefore, the GCF of 6622/593,3870/8849 is 86/5247457.
To find the highest common factor of 6622,3870, we have to find the factors of both numbers and list the highest common factor.
The factors of 6622 are 1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622
The factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The HCF of 6622,3870 is 86.
Lets's calculate GCF of 6622,3870
| 2 | 6622, 3870 |
| 43 | 3311, 1935 |
| 77, 45 |
∴ So the GCF of the given numbers is 2 x 43 = 86
Greatest Common Factor of 6622,3870 By Matching Biggest Common Factor Method
Now, list down the factors of 6622
:1,2,7,11,14,22,43,77,86,154,301,473,602,946,3311,6622
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 6622,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 6622,3870 is 86.
Lets's calculate LCM of 593,8849
Given numbers has no common factors except 1. So, there LCM is their product i.e 5247457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 86/5247457
Therefore, the GCF of Fractions 6622/593,3870/8849 is 86/5247457
Least Common Multiple of 593,8849 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 593,8849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,8849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,8849) x common factors =1 x 1 = 1
LCM(593,8849) = ( 593 × 8849 ) / 1
LCM(593,8849) = 5247457 / 1
LCM(593,8849) = 5247457
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FAQs on GCF of Fractions of 6622/593, 3870/8849
1. What is the HCF of 6622,3870?
The HCF of 6622,3870 is 86
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 6622/593, 3870/8849?
Answer: GCF of Numerators as per given numbers 6622/593, 3870/8849 is
GCF of Numerators i.e. for 6622,3870 is 86
LCM of denominators i.e. for 593,8849 is 5247457.
Thus, GCF of Fractions is 86/5247457.Finally, GCF of Fractions for 6622/593, 3870/8849 is 86/5247457.