GCF of 6858/892, 9048/2678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6858/892, 9048/2678 i.e 6/1194388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6858/892, 9048/2678.
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 6858/892,9048/2678?
Given fractions are 6858/892,9048/2678
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 6858/892,9048/2678, numerators are 6858,9048
Denominators are 892,2678
The GCF of 6858,9048 is 6 .
LCM of 892,2678 is 1194388.
The greatest common factor of 6858/892,9048/2678 = [GCF of 6858,9048]/[LCM of 892,2678]= 6/1194388
Therefore, the GCF of 6858/892,9048/2678 is 6/1194388.
To find the highest common factor of 6858,9048, we have to find the factors of both numbers and list the highest common factor.
The factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The HCF of 6858,9048 is 6.
Lets's calculate GCF of 6858,9048
| 2 | 6858, 9048 |
| 3 | 3429, 4524 |
| 1143, 1508 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6858,9048 By Matching Biggest Common Factor Method
Now, list down the factors of 6858
:1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Greatest Common Factor
We found the factors 6858,9048 . The biggest common factor number is the GCF number.
So the greatest common factor 6858,9048 is 6.
Lets's calculate LCM of 892,2678
| 2 | 892, 2678 |
| 446, 1339 |
∴ So the LCM of the given numbers is 2 x 446 x 1339 = 1194388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1194388
Therefore, the GCF of Fractions 6858/892,9048/2678 is 6/1194388
Least Common Multiple of 892,2678 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 892,2678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,2678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,2678) x common factors =2 x 1 = 2
LCM(892,2678) = ( 892 × 2678 ) / 2
LCM(892,2678) = 2388776 / 2
LCM(892,2678) = 1194388
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6858/892, 9048/2678
1. What is the HCF of 6858,9048?
The HCF of 6858,9048 is 6
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 6858/892, 9048/2678?
Answer: GCF of Numerators as per given numbers 6858/892, 9048/2678 is
GCF of Numerators i.e. for 6858,9048 is 6
LCM of denominators i.e. for 892,2678 is 1194388.
Thus, GCF of Fractions is 6/1194388.Finally, GCF of Fractions for 6858/892, 9048/2678 is 6/1194388.