GCF of 187/14, 459/7544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 187/14, 459/7544 i.e 17/52808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/14, 459/7544.
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 187/14,459/7544?
Given fractions are 187/14,459/7544
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 187/14,459/7544, numerators are 187,459
Denominators are 14,7544
The GCF of 187,459 is 17 .
LCM of 14,7544 is 52808.
The greatest common factor of 187/14,459/7544 = [GCF of 187,459]/[LCM of 14,7544]= 17/52808
Therefore, the GCF of 187/14,459/7544 is 17/52808.
To find the highest common factor of 187,459, we have to find the factors of both numbers and list the highest common factor.
The factors of 187 are 1, 11, 17, 187
The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459
The HCF of 187,459 is 17.
Lets's calculate GCF of 187,459
| 17 | 187, 459 |
| 11, 27 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 187,459 By Matching Biggest Common Factor Method
Now, list down the factors of 187
:1,11,17,187
Now, list down the factors of 459
:1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 187,459 . The biggest common factor number is the GCF number.
So the greatest common factor 187,459 is 17.
Lets's calculate LCM of 14,7544
| 2 | 14, 7544 |
| 7, 3772 |
∴ So the LCM of the given numbers is 2 x 7 x 3772 = 52808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/52808
Therefore, the GCF of Fractions 187/14,459/7544 is 17/52808
Least Common Multiple of 14,7544 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 14,7544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,7544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,7544) x common factors =2 x 1 = 2
LCM(14,7544) = ( 14 × 7544 ) / 2
LCM(14,7544) = 105616 / 2
LCM(14,7544) = 52808
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FAQs on GCF of Fractions of 187/14, 459/7544
1. What is the HCF of 187,459?
The HCF of 187,459 is 17
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 187/14, 459/7544?
Answer: GCF of Numerators as per given numbers 187/14, 459/7544 is
GCF of Numerators i.e. for 187,459 is 17
LCM of denominators i.e. for 14,7544 is 52808.
Thus, GCF of Fractions is 17/52808.Finally, GCF of Fractions for 187/14, 459/7544 is 17/52808.