GCF of 6156/733, 6894/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6156/733, 6894/105 i.e 18/76965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6156/733, 6894/105.
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 6156/733,6894/105?
Given fractions are 6156/733,6894/105
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 6156/733,6894/105, numerators are 6156,6894
Denominators are 733,105
The GCF of 6156,6894 is 18 .
LCM of 733,105 is 76965.
The greatest common factor of 6156/733,6894/105 = [GCF of 6156,6894]/[LCM of 733,105]= 18/76965
Therefore, the GCF of 6156/733,6894/105 is 18/76965.
To find the highest common factor of 6156,6894, we have to find the factors of both numbers and list the highest common factor.
The factors of 6156 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156
The factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894
The HCF of 6156,6894 is 18.
Lets's calculate GCF of 6156,6894
| 2 | 6156, 6894 |
| 3 | 3078, 3447 |
| 3 | 1026, 1149 |
| 342, 383 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 6156,6894 By Matching Biggest Common Factor Method
Now, list down the factors of 6156
:1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,81,108,114,162,171,228,324,342,513,684,1026,1539,2052,3078,6156
Now, list down the factors of 6894
:1,2,3,6,9,18,383,766,1149,2298,3447,6894
Greatest Common Factor
We found the factors 6156,6894 . The biggest common factor number is the GCF number.
So the greatest common factor 6156,6894 is 18.
Lets's calculate LCM of 733,105
Given numbers has no common factors except 1. So, there LCM is their product i.e 76965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/76965
Therefore, the GCF of Fractions 6156/733,6894/105 is 18/76965
Least Common Multiple of 733,105 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 733,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,105) x common factors =1 x 1 = 1
LCM(733,105) = ( 733 × 105 ) / 1
LCM(733,105) = 76965 / 1
LCM(733,105) = 76965
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FAQs on GCF of Fractions of 6156/733, 6894/105
1. What is the HCF of 6156,6894?
The HCF of 6156,6894 is 18
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 6156/733, 6894/105?
Answer: GCF of Numerators as per given numbers 6156/733, 6894/105 is
GCF of Numerators i.e. for 6156,6894 is 18
LCM of denominators i.e. for 733,105 is 76965.
Thus, GCF of Fractions is 18/76965.Finally, GCF of Fractions for 6156/733, 6894/105 is 18/76965.