GCF of 1413/207, 2695/6186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1413/207, 2695/6186 i.e 1/426834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1413/207, 2695/6186.
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 1413/207,2695/6186?
Given fractions are 1413/207,2695/6186
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 1413/207,2695/6186, numerators are 1413,2695
Denominators are 207,6186
The GCF of 1413,2695 is 1 .
LCM of 207,6186 is 426834.
The greatest common factor of 1413/207,2695/6186 = [GCF of 1413,2695]/[LCM of 207,6186]= 1/426834
Therefore, the GCF of 1413/207,2695/6186 is 1/426834.
To find the highest common factor of 1413,2695, we have to find the factors of both numbers and list the highest common factor.
The factors of 1413 are 1, 3, 9, 157, 471, 1413
The factors of 2695 are 1, 5, 7, 11, 35, 49, 55, 77, 245, 385, 539, 2695
The HCF of 1413,2695 is 1.
Lets's calculate GCF of 1413,2695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1413,2695 By Matching Biggest Common Factor Method
Now, list down the factors of 1413
:1,3,9,157,471,1413
Now, list down the factors of 2695
:1,5,7,11,35,49,55,77,245,385,539,2695
Greatest Common Factor
We found the factors 1413,2695 . The biggest common factor number is the GCF number.
So the greatest common factor 1413,2695 is 1.
Lets's calculate LCM of 207,6186
| 3 | 207, 6186 |
| 69, 2062 |
∴ So the LCM of the given numbers is 3 x 69 x 2062 = 426834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426834
Therefore, the GCF of Fractions 1413/207,2695/6186 is 1/426834
Least Common Multiple of 207,6186 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 207,6186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,6186) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,6186) x common factors =3 x 1 = 3
LCM(207,6186) = ( 207 × 6186 ) / 3
LCM(207,6186) = 1280502 / 3
LCM(207,6186) = 426834
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FAQs on GCF of Fractions of 1413/207, 2695/6186
1. What is the HCF of 1413,2695?
The HCF of 1413,2695 is 1
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 1413/207, 2695/6186?
Answer: GCF of Numerators as per given numbers 1413/207, 2695/6186 is
GCF of Numerators i.e. for 1413,2695 is 1
LCM of denominators i.e. for 207,6186 is 426834.
Thus, GCF of Fractions is 1/426834.Finally, GCF of Fractions for 1413/207, 2695/6186 is 1/426834.