GCF of 1111/186, 7663/404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1111/186, 7663/404 i.e 1/37572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1111/186, 7663/404.
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 1111/186,7663/404?
Given fractions are 1111/186,7663/404
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 1111/186,7663/404, numerators are 1111,7663
Denominators are 186,404
The GCF of 1111,7663 is 1 .
LCM of 186,404 is 37572.
The greatest common factor of 1111/186,7663/404 = [GCF of 1111,7663]/[LCM of 186,404]= 1/37572
Therefore, the GCF of 1111/186,7663/404 is 1/37572.
To find the highest common factor of 1111,7663, we have to find the factors of both numbers and list the highest common factor.
The factors of 1111 are 1, 11, 101, 1111
The factors of 7663 are 1, 79, 97, 7663
The HCF of 1111,7663 is 1.
Lets's calculate GCF of 1111,7663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1111,7663 By Matching Biggest Common Factor Method
Now, list down the factors of 1111
:1,11,101,1111
Now, list down the factors of 7663
:1,79,97,7663
Greatest Common Factor
We found the factors 1111,7663 . The biggest common factor number is the GCF number.
So the greatest common factor 1111,7663 is 1.
Lets's calculate LCM of 186,404
| 2 | 186, 404 |
| 93, 202 |
∴ So the LCM of the given numbers is 2 x 93 x 202 = 37572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37572
Therefore, the GCF of Fractions 1111/186,7663/404 is 1/37572
Least Common Multiple of 186,404 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 186,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,404) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,404) x common factors =2 x 1 = 2
LCM(186,404) = ( 186 × 404 ) / 2
LCM(186,404) = 75144 / 2
LCM(186,404) = 37572
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FAQs on GCF of Fractions of 1111/186, 7663/404
1. What is the HCF of 1111,7663?
The HCF of 1111,7663 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 1111/186, 7663/404?
Answer: GCF of Numerators as per given numbers 1111/186, 7663/404 is
GCF of Numerators i.e. for 1111,7663 is 1
LCM of denominators i.e. for 186,404 is 37572.
Thus, GCF of Fractions is 1/37572.Finally, GCF of Fractions for 1111/186, 7663/404 is 1/37572.