GCF of 429/39, 845/495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 429/39, 845/495 i.e 13/6435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/39, 845/495.
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 429/39,845/495?
Given fractions are 429/39,845/495
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 429/39,845/495, numerators are 429,845
Denominators are 39,495
The GCF of 429,845 is 13 .
LCM of 39,495 is 6435.
The greatest common factor of 429/39,845/495 = [GCF of 429,845]/[LCM of 39,495]= 13/6435
Therefore, the GCF of 429/39,845/495 is 13/6435.
To find the highest common factor of 429,845, we have to find the factors of both numbers and list the highest common factor.
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The factors of 845 are 1, 5, 13, 65, 169, 845
The HCF of 429,845 is 13.
Lets's calculate GCF of 429,845
| 13 | 429, 845 |
| 33, 65 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 429,845 By Matching Biggest Common Factor Method
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 845
:1,5,13,65,169,845
Greatest Common Factor
We found the factors 429,845 . The biggest common factor number is the GCF number.
So the greatest common factor 429,845 is 13.
Lets's calculate LCM of 39,495
| 3 | 39, 495 |
| 13, 165 |
∴ So the LCM of the given numbers is 3 x 13 x 165 = 6435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6435
Therefore, the GCF of Fractions 429/39,845/495 is 13/6435
Least Common Multiple of 39,495 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 39,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,495) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,495) x common factors =3 x 1 = 3
LCM(39,495) = ( 39 × 495 ) / 3
LCM(39,495) = 19305 / 3
LCM(39,495) = 6435
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 429/39, 845/495
1. What is the HCF of 429,845?
The HCF of 429,845 is 13
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 429/39, 845/495?
Answer: GCF of Numerators as per given numbers 429/39, 845/495 is
GCF of Numerators i.e. for 429,845 is 13
LCM of denominators i.e. for 39,495 is 6435.
Thus, GCF of Fractions is 13/6435.Finally, GCF of Fractions for 429/39, 845/495 is 13/6435.