GCF of 6643/102, 6314/8372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6643/102, 6314/8372 i.e 7/426972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6643/102, 6314/8372.
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 6643/102,6314/8372?
Given fractions are 6643/102,6314/8372
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 6643/102,6314/8372, numerators are 6643,6314
Denominators are 102,8372
The GCF of 6643,6314 is 7 .
LCM of 102,8372 is 426972.
The greatest common factor of 6643/102,6314/8372 = [GCF of 6643,6314]/[LCM of 102,8372]= 7/426972
Therefore, the GCF of 6643/102,6314/8372 is 7/426972.
To find the highest common factor of 6643,6314, we have to find the factors of both numbers and list the highest common factor.
The factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643
The factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314
The HCF of 6643,6314 is 7.
Lets's calculate GCF of 6643,6314
| 7 | 6643, 6314 |
| 949, 902 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6643,6314 By Matching Biggest Common Factor Method
Now, list down the factors of 6643
:1,7,13,73,91,511,949,6643
Now, list down the factors of 6314
:1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314
Greatest Common Factor
We found the factors 6643,6314 . The biggest common factor number is the GCF number.
So the greatest common factor 6643,6314 is 7.
Lets's calculate LCM of 102,8372
| 2 | 102, 8372 |
| 51, 4186 |
∴ So the LCM of the given numbers is 2 x 51 x 4186 = 426972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/426972
Therefore, the GCF of Fractions 6643/102,6314/8372 is 7/426972
Least Common Multiple of 102,8372 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 102,8372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,8372) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,8372) x common factors =2 x 1 = 2
LCM(102,8372) = ( 102 × 8372 ) / 2
LCM(102,8372) = 853944 / 2
LCM(102,8372) = 426972
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FAQs on GCF of Fractions of 6643/102, 6314/8372
1. What is the HCF of 6643,6314?
The HCF of 6643,6314 is 7
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 6643/102, 6314/8372?
Answer: GCF of Numerators as per given numbers 6643/102, 6314/8372 is
GCF of Numerators i.e. for 6643,6314 is 7
LCM of denominators i.e. for 102,8372 is 426972.
Thus, GCF of Fractions is 7/426972.Finally, GCF of Fractions for 6643/102, 6314/8372 is 7/426972.