GCF of 429/87, 185/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 429/87, 185/817 i.e 1/71079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/87, 185/817.
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 429/87,185/817?
Given fractions are 429/87,185/817
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 429/87,185/817, numerators are 429,185
Denominators are 87,817
The GCF of 429,185 is 1 .
LCM of 87,817 is 71079.
The greatest common factor of 429/87,185/817 = [GCF of 429,185]/[LCM of 87,817]= 1/71079
Therefore, the GCF of 429/87,185/817 is 1/71079.
To find the highest common factor of 429,185, 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 185 are 1, 5, 37, 185
The HCF of 429,185 is 1.
Lets's calculate GCF of 429,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 429,185 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 185
:1,5,37,185
Greatest Common Factor
We found the factors 429,185 . The biggest common factor number is the GCF number.
So the greatest common factor 429,185 is 1.
Lets's calculate LCM of 87,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 71079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71079
Therefore, the GCF of Fractions 429/87,185/817 is 1/71079
Least Common Multiple of 87,817 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 87,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,817) x common factors =1 x 1 = 1
LCM(87,817) = ( 87 × 817 ) / 1
LCM(87,817) = 71079 / 1
LCM(87,817) = 71079
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 429/87, 185/817
1. What is the HCF of 429,185?
The HCF of 429,185 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 429/87, 185/817?
Answer: GCF of Numerators as per given numbers 429/87, 185/817 is
GCF of Numerators i.e. for 429,185 is 1
LCM of denominators i.e. for 87,817 is 71079.
Thus, GCF of Fractions is 1/71079.Finally, GCF of Fractions for 429/87, 185/817 is 1/71079.