GCF of 5891/429, 1615/525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5891/429, 1615/525 i.e 1/75075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5891/429, 1615/525.
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 5891/429,1615/525?
Given fractions are 5891/429,1615/525
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 5891/429,1615/525, numerators are 5891,1615
Denominators are 429,525
The GCF of 5891,1615 is 1 .
LCM of 429,525 is 75075.
The greatest common factor of 5891/429,1615/525 = [GCF of 5891,1615]/[LCM of 429,525]= 1/75075
Therefore, the GCF of 5891/429,1615/525 is 1/75075.
To find the highest common factor of 5891,1615, we have to find the factors of both numbers and list the highest common factor.
The factors of 5891 are 1, 43, 137, 5891
The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615
The HCF of 5891,1615 is 1.
Lets's calculate GCF of 5891,1615
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5891,1615 By Matching Biggest Common Factor Method
Now, list down the factors of 5891
:1,43,137,5891
Now, list down the factors of 1615
:1,5,17,19,85,95,323,1615
Greatest Common Factor
We found the factors 5891,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 5891,1615 is 1.
Lets's calculate LCM of 429,525
| 3 | 429, 525 |
| 143, 175 |
∴ So the LCM of the given numbers is 3 x 143 x 175 = 75075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75075
Therefore, the GCF of Fractions 5891/429,1615/525 is 1/75075
Least Common Multiple of 429,525 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 429,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,525) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,525) x common factors =3 x 1 = 3
LCM(429,525) = ( 429 × 525 ) / 3
LCM(429,525) = 225225 / 3
LCM(429,525) = 75075
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FAQs on GCF of Fractions of 5891/429, 1615/525
1. What is the HCF of 5891,1615?
The HCF of 5891,1615 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 5891/429, 1615/525?
Answer: GCF of Numerators as per given numbers 5891/429, 1615/525 is
GCF of Numerators i.e. for 5891,1615 is 1
LCM of denominators i.e. for 429,525 is 75075.
Thus, GCF of Fractions is 1/75075.Finally, GCF of Fractions for 5891/429, 1615/525 is 1/75075.