GCF of 6264/191, 7986/2760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6264/191, 7986/2760 i.e 6/527160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6264/191, 7986/2760.
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 6264/191,7986/2760?
Given fractions are 6264/191,7986/2760
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 6264/191,7986/2760, numerators are 6264,7986
Denominators are 191,2760
The GCF of 6264,7986 is 6 .
LCM of 191,2760 is 527160.
The greatest common factor of 6264/191,7986/2760 = [GCF of 6264,7986]/[LCM of 191,2760]= 6/527160
Therefore, the GCF of 6264/191,7986/2760 is 6/527160.
To find the highest common factor of 6264,7986, we have to find the factors of both numbers and list the highest common factor.
The factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264
The factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986
The HCF of 6264,7986 is 6.
Lets's calculate GCF of 6264,7986
| 2 | 6264, 7986 |
| 3 | 3132, 3993 |
| 1044, 1331 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6264,7986 By Matching Biggest Common Factor Method
Now, list down the factors of 6264
:1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264
Now, list down the factors of 7986
:1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Greatest Common Factor
We found the factors 6264,7986 . The biggest common factor number is the GCF number.
So the greatest common factor 6264,7986 is 6.
Lets's calculate LCM of 191,2760
Given numbers has no common factors except 1. So, there LCM is their product i.e 527160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/527160
Therefore, the GCF of Fractions 6264/191,7986/2760 is 6/527160
Least Common Multiple of 191,2760 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 191,2760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,2760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,2760) x common factors =1 x 1 = 1
LCM(191,2760) = ( 191 × 2760 ) / 1
LCM(191,2760) = 527160 / 1
LCM(191,2760) = 527160
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FAQs on GCF of Fractions of 6264/191, 7986/2760
1. What is the HCF of 6264,7986?
The HCF of 6264,7986 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 6264/191, 7986/2760?
Answer: GCF of Numerators as per given numbers 6264/191, 7986/2760 is
GCF of Numerators i.e. for 6264,7986 is 6
LCM of denominators i.e. for 191,2760 is 527160.
Thus, GCF of Fractions is 6/527160.Finally, GCF of Fractions for 6264/191, 7986/2760 is 6/527160.