GCF of 8163/976, 6888/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8163/976, 6888/758 i.e 3/369904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8163/976, 6888/758.
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 8163/976,6888/758?
Given fractions are 8163/976,6888/758
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 8163/976,6888/758, numerators are 8163,6888
Denominators are 976,758
The GCF of 8163,6888 is 3 .
LCM of 976,758 is 369904.
The greatest common factor of 8163/976,6888/758 = [GCF of 8163,6888]/[LCM of 976,758]= 3/369904
Therefore, the GCF of 8163/976,6888/758 is 3/369904.
To find the highest common factor of 8163,6888, we have to find the factors of both numbers and list the highest common factor.
The factors of 8163 are 1, 3, 9, 907, 2721, 8163
The factors of 6888 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888
The HCF of 8163,6888 is 3.
Lets's calculate GCF of 8163,6888
| 3 | 8163, 6888 |
| 2721, 2296 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8163,6888 By Matching Biggest Common Factor Method
Now, list down the factors of 8163
:1,3,9,907,2721,8163
Now, list down the factors of 6888
:1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888
Greatest Common Factor
We found the factors 8163,6888 . The biggest common factor number is the GCF number.
So the greatest common factor 8163,6888 is 3.
Lets's calculate LCM of 976,758
| 2 | 976, 758 |
| 488, 379 |
∴ So the LCM of the given numbers is 2 x 488 x 379 = 369904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/369904
Therefore, the GCF of Fractions 8163/976,6888/758 is 3/369904
Least Common Multiple of 976,758 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 976,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,758) x common factors =2 x 1 = 2
LCM(976,758) = ( 976 × 758 ) / 2
LCM(976,758) = 739808 / 2
LCM(976,758) = 369904
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FAQs on GCF of Fractions of 8163/976, 6888/758
1. What is the HCF of 8163,6888?
The HCF of 8163,6888 is 3
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 8163/976, 6888/758?
Answer: GCF of Numerators as per given numbers 8163/976, 6888/758 is
GCF of Numerators i.e. for 8163,6888 is 3
LCM of denominators i.e. for 976,758 is 369904.
Thus, GCF of Fractions is 3/369904.Finally, GCF of Fractions for 8163/976, 6888/758 is 3/369904.