GCF of 6888/921, 8568/1246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6888/921, 8568/1246 i.e 168/1147566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6888/921, 8568/1246.
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 6888/921,8568/1246?
Given fractions are 6888/921,8568/1246
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 6888/921,8568/1246, numerators are 6888,8568
Denominators are 921,1246
The GCF of 6888,8568 is 168 .
LCM of 921,1246 is 1147566.
The greatest common factor of 6888/921,8568/1246 = [GCF of 6888,8568]/[LCM of 921,1246]= 168/1147566
Therefore, the GCF of 6888/921,8568/1246 is 168/1147566.
To find the highest common factor of 6888,8568, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8568 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 28, 34, 36, 42, 51, 56, 63, 68, 72, 84, 102, 119, 126, 136, 153, 168, 204, 238, 252, 306, 357, 408, 476, 504, 612, 714, 952, 1071, 1224, 1428, 2142, 2856, 4284, 8568
The HCF of 6888,8568 is 168.
Lets's calculate GCF of 6888,8568
| 2 | 6888, 8568 |
| 2 | 3444, 4284 |
| 2 | 1722, 2142 |
| 3 | 861, 1071 |
| 7 | 287, 357 |
| 41, 51 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 7 = 168
Greatest Common Factor of 6888,8568 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8568
:1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568
Greatest Common Factor
We found the factors 6888,8568 . The biggest common factor number is the GCF number.
So the greatest common factor 6888,8568 is 168.
Lets's calculate LCM of 921,1246
Given numbers has no common factors except 1. So, there LCM is their product i.e 1147566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 168/1147566
Therefore, the GCF of Fractions 6888/921,8568/1246 is 168/1147566
Least Common Multiple of 921,1246 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 921,1246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,1246) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,1246) x common factors =1 x 1 = 1
LCM(921,1246) = ( 921 × 1246 ) / 1
LCM(921,1246) = 1147566 / 1
LCM(921,1246) = 1147566
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FAQs on GCF of Fractions of 6888/921, 8568/1246
1. What is the HCF of 6888,8568?
The HCF of 6888,8568 is 168
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 6888/921, 8568/1246?
Answer: GCF of Numerators as per given numbers 6888/921, 8568/1246 is
GCF of Numerators i.e. for 6888,8568 is 168
LCM of denominators i.e. for 921,1246 is 1147566.
Thus, GCF of Fractions is 168/1147566.Finally, GCF of Fractions for 6888/921, 8568/1246 is 168/1147566.