GCF of 3435/729, 5253/4208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3435/729, 5253/4208 i.e 3/3067632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3435/729, 5253/4208.
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 3435/729,5253/4208?
Given fractions are 3435/729,5253/4208
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 3435/729,5253/4208, numerators are 3435,5253
Denominators are 729,4208
The GCF of 3435,5253 is 3 .
LCM of 729,4208 is 3067632.
The greatest common factor of 3435/729,5253/4208 = [GCF of 3435,5253]/[LCM of 729,4208]= 3/3067632
Therefore, the GCF of 3435/729,5253/4208 is 3/3067632.
To find the highest common factor of 3435,5253, we have to find the factors of both numbers and list the highest common factor.
The factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435
The factors of 5253 are 1, 3, 17, 51, 103, 309, 1751, 5253
The HCF of 3435,5253 is 3.
Lets's calculate GCF of 3435,5253
| 3 | 3435, 5253 |
| 1145, 1751 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3435,5253 By Matching Biggest Common Factor Method
Now, list down the factors of 3435
:1,3,5,15,229,687,1145,3435
Now, list down the factors of 5253
:1,3,17,51,103,309,1751,5253
Greatest Common Factor
We found the factors 3435,5253 . The biggest common factor number is the GCF number.
So the greatest common factor 3435,5253 is 3.
Lets's calculate LCM of 729,4208
Given numbers has no common factors except 1. So, there LCM is their product i.e 3067632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3067632
Therefore, the GCF of Fractions 3435/729,5253/4208 is 3/3067632
Least Common Multiple of 729,4208 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 729,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,4208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,4208) x common factors =1 x 1 = 1
LCM(729,4208) = ( 729 × 4208 ) / 1
LCM(729,4208) = 3067632 / 1
LCM(729,4208) = 3067632
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FAQs on GCF of Fractions of 3435/729, 5253/4208
1. What is the HCF of 3435,5253?
The HCF of 3435,5253 is 3
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 3435/729, 5253/4208?
Answer: GCF of Numerators as per given numbers 3435/729, 5253/4208 is
GCF of Numerators i.e. for 3435,5253 is 3
LCM of denominators i.e. for 729,4208 is 3067632.
Thus, GCF of Fractions is 3/3067632.Finally, GCF of Fractions for 3435/729, 5253/4208 is 3/3067632.