GCF of 187/315, 614/429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 187/315, 614/429 i.e 1/45045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/315, 614/429.
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 187/315,614/429?
Given fractions are 187/315,614/429
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 187/315,614/429, numerators are 187,614
Denominators are 315,429
The GCF of 187,614 is 1 .
LCM of 315,429 is 45045.
The greatest common factor of 187/315,614/429 = [GCF of 187,614]/[LCM of 315,429]= 1/45045
Therefore, the GCF of 187/315,614/429 is 1/45045.
To find the highest common factor of 187,614, 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 614 are 1, 2, 307, 614
The HCF of 187,614 is 1.
Lets's calculate GCF of 187,614
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 187,614 By Matching Biggest Common Factor Method
Now, list down the factors of 187
:1,11,17,187
Now, list down the factors of 614
:1,2,307,614
Greatest Common Factor
We found the factors 187,614 . The biggest common factor number is the GCF number.
So the greatest common factor 187,614 is 1.
Lets's calculate LCM of 315,429
| 3 | 315, 429 |
| 105, 143 |
∴ So the LCM of the given numbers is 3 x 105 x 143 = 45045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45045
Therefore, the GCF of Fractions 187/315,614/429 is 1/45045
Least Common Multiple of 315,429 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 315,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(315,429) x common factors =3 x 1 = 3
LCM(315,429) = ( 315 × 429 ) / 3
LCM(315,429) = 135135 / 3
LCM(315,429) = 45045
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FAQs on GCF of Fractions of 187/315, 614/429
1. What is the HCF of 187,614?
The HCF of 187,614 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 187/315, 614/429?
Answer: GCF of Numerators as per given numbers 187/315, 614/429 is
GCF of Numerators i.e. for 187,614 is 1
LCM of denominators i.e. for 315,429 is 45045.
Thus, GCF of Fractions is 1/45045.Finally, GCF of Fractions for 187/315, 614/429 is 1/45045.