GCF of 1186/416, 6766/2510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1186/416, 6766/2510 i.e 2/522080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1186/416, 6766/2510.
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 1186/416,6766/2510?
Given fractions are 1186/416,6766/2510
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 1186/416,6766/2510, numerators are 1186,6766
Denominators are 416,2510
The GCF of 1186,6766 is 2 .
LCM of 416,2510 is 522080.
The greatest common factor of 1186/416,6766/2510 = [GCF of 1186,6766]/[LCM of 416,2510]= 2/522080
Therefore, the GCF of 1186/416,6766/2510 is 2/522080.
To find the highest common factor of 1186,6766, we have to find the factors of both numbers and list the highest common factor.
The factors of 1186 are 1, 2, 593, 1186
The factors of 6766 are 1, 2, 17, 34, 199, 398, 3383, 6766
The HCF of 1186,6766 is 2.
Lets's calculate GCF of 1186,6766
| 2 | 1186, 6766 |
| 593, 3383 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1186,6766 By Matching Biggest Common Factor Method
Now, list down the factors of 1186
:1,2,593,1186
Now, list down the factors of 6766
:1,2,17,34,199,398,3383,6766
Greatest Common Factor
We found the factors 1186,6766 . The biggest common factor number is the GCF number.
So the greatest common factor 1186,6766 is 2.
Lets's calculate LCM of 416,2510
| 2 | 416, 2510 |
| 208, 1255 |
∴ So the LCM of the given numbers is 2 x 208 x 1255 = 522080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/522080
Therefore, the GCF of Fractions 1186/416,6766/2510 is 2/522080
Least Common Multiple of 416,2510 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 416,2510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,2510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,2510) x common factors =2 x 1 = 2
LCM(416,2510) = ( 416 × 2510 ) / 2
LCM(416,2510) = 1044160 / 2
LCM(416,2510) = 522080
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FAQs on GCF of Fractions of 1186/416, 6766/2510
1. What is the HCF of 1186,6766?
The HCF of 1186,6766 is 2
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 1186/416, 6766/2510?
Answer: GCF of Numerators as per given numbers 1186/416, 6766/2510 is
GCF of Numerators i.e. for 1186,6766 is 2
LCM of denominators i.e. for 416,2510 is 522080.
Thus, GCF of Fractions is 2/522080.Finally, GCF of Fractions for 1186/416, 6766/2510 is 2/522080.