GCF of 4047/225, 5689/7015
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4047/225, 5689/7015 i.e 1/315675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4047/225, 5689/7015.
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 4047/225,5689/7015?
Given fractions are 4047/225,5689/7015
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 4047/225,5689/7015, numerators are 4047,5689
Denominators are 225,7015
The GCF of 4047,5689 is 1 .
LCM of 225,7015 is 315675.
The greatest common factor of 4047/225,5689/7015 = [GCF of 4047,5689]/[LCM of 225,7015]= 1/315675
Therefore, the GCF of 4047/225,5689/7015 is 1/315675.
To find the highest common factor of 4047,5689, we have to find the factors of both numbers and list the highest common factor.
The factors of 4047 are 1, 3, 19, 57, 71, 213, 1349, 4047
The factors of 5689 are 1, 5689
The HCF of 4047,5689 is 1.
Lets's calculate GCF of 4047,5689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4047,5689 By Matching Biggest Common Factor Method
Now, list down the factors of 4047
:1,3,19,57,71,213,1349,4047
Now, list down the factors of 5689
:1,5689
Greatest Common Factor
We found the factors 4047,5689 . The biggest common factor number is the GCF number.
So the greatest common factor 4047,5689 is 1.
Lets's calculate LCM of 225,7015
| 5 | 225, 7015 |
| 45, 1403 |
∴ So the LCM of the given numbers is 5 x 45 x 1403 = 315675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315675
Therefore, the GCF of Fractions 4047/225,5689/7015 is 1/315675
Least Common Multiple of 225,7015 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 225,7015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,7015) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(225,7015) x common factors =5 x 1 = 5
LCM(225,7015) = ( 225 × 7015 ) / 5
LCM(225,7015) = 1578375 / 5
LCM(225,7015) = 315675
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FAQs on GCF of Fractions of 4047/225, 5689/7015
1. What is the HCF of 4047,5689?
The HCF of 4047,5689 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 4047/225, 5689/7015?
Answer: GCF of Numerators as per given numbers 4047/225, 5689/7015 is
GCF of Numerators i.e. for 4047,5689 is 1
LCM of denominators i.e. for 225,7015 is 315675.
Thus, GCF of Fractions is 1/315675.Finally, GCF of Fractions for 4047/225, 5689/7015 is 1/315675.