GCF of 6786/465, 1506/6887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6786/465, 1506/6887 i.e 6/3202455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6786/465, 1506/6887.
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 6786/465,1506/6887?
Given fractions are 6786/465,1506/6887
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 6786/465,1506/6887, numerators are 6786,1506
Denominators are 465,6887
The GCF of 6786,1506 is 6 .
LCM of 465,6887 is 3202455.
The greatest common factor of 6786/465,1506/6887 = [GCF of 6786,1506]/[LCM of 465,6887]= 6/3202455
Therefore, the GCF of 6786/465,1506/6887 is 6/3202455.
To find the highest common factor of 6786,1506, we have to find the factors of both numbers and list the highest common factor.
The factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786
The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506
The HCF of 6786,1506 is 6.
Lets's calculate GCF of 6786,1506
| 2 | 6786, 1506 |
| 3 | 3393, 753 |
| 1131, 251 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6786,1506 By Matching Biggest Common Factor Method
Now, list down the factors of 6786
:1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786
Now, list down the factors of 1506
:1,2,3,6,251,502,753,1506
Greatest Common Factor
We found the factors 6786,1506 . The biggest common factor number is the GCF number.
So the greatest common factor 6786,1506 is 6.
Lets's calculate LCM of 465,6887
Given numbers has no common factors except 1. So, there LCM is their product i.e 3202455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3202455
Therefore, the GCF of Fractions 6786/465,1506/6887 is 6/3202455
Least Common Multiple of 465,6887 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 465,6887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,6887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,6887) x common factors =1 x 1 = 1
LCM(465,6887) = ( 465 × 6887 ) / 1
LCM(465,6887) = 3202455 / 1
LCM(465,6887) = 3202455
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FAQs on GCF of Fractions of 6786/465, 1506/6887
1. What is the HCF of 6786,1506?
The HCF of 6786,1506 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 6786/465, 1506/6887?
Answer: GCF of Numerators as per given numbers 6786/465, 1506/6887 is
GCF of Numerators i.e. for 6786,1506 is 6
LCM of denominators i.e. for 465,6887 is 3202455.
Thus, GCF of Fractions is 6/3202455.Finally, GCF of Fractions for 6786/465, 1506/6887 is 6/3202455.