GCF of 1425/729, 3646/4665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1425/729, 3646/4665 i.e 1/1133595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1425/729, 3646/4665.
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 1425/729,3646/4665?
Given fractions are 1425/729,3646/4665
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 1425/729,3646/4665, numerators are 1425,3646
Denominators are 729,4665
The GCF of 1425,3646 is 1 .
LCM of 729,4665 is 1133595.
The greatest common factor of 1425/729,3646/4665 = [GCF of 1425,3646]/[LCM of 729,4665]= 1/1133595
Therefore, the GCF of 1425/729,3646/4665 is 1/1133595.
To find the highest common factor of 1425,3646, we have to find the factors of both numbers and list the highest common factor.
The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425
The factors of 3646 are 1, 2, 1823, 3646
The HCF of 1425,3646 is 1.
Lets's calculate GCF of 1425,3646
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1425,3646 By Matching Biggest Common Factor Method
Now, list down the factors of 1425
:1,3,5,15,19,25,57,75,95,285,475,1425
Now, list down the factors of 3646
:1,2,1823,3646
Greatest Common Factor
We found the factors 1425,3646 . The biggest common factor number is the GCF number.
So the greatest common factor 1425,3646 is 1.
Lets's calculate LCM of 729,4665
| 3 | 729, 4665 |
| 243, 1555 |
∴ So the LCM of the given numbers is 3 x 243 x 1555 = 1133595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1133595
Therefore, the GCF of Fractions 1425/729,3646/4665 is 1/1133595
Least Common Multiple of 729,4665 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 729,4665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,4665) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(729,4665) x common factors =3 x 1 = 3
LCM(729,4665) = ( 729 × 4665 ) / 3
LCM(729,4665) = 3400785 / 3
LCM(729,4665) = 1133595
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FAQs on GCF of Fractions of 1425/729, 3646/4665
1. What is the HCF of 1425,3646?
The HCF of 1425,3646 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 1425/729, 3646/4665?
Answer: GCF of Numerators as per given numbers 1425/729, 3646/4665 is
GCF of Numerators i.e. for 1425,3646 is 1
LCM of denominators i.e. for 729,4665 is 1133595.
Thus, GCF of Fractions is 1/1133595.Finally, GCF of Fractions for 1425/729, 3646/4665 is 1/1133595.