GCF of 479/430, 8514/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 479/430, 8514/322 i.e 1/69230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/430, 8514/322.
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 479/430,8514/322?
Given fractions are 479/430,8514/322
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 479/430,8514/322, numerators are 479,8514
Denominators are 430,322
The GCF of 479,8514 is 1 .
LCM of 430,322 is 69230.
The greatest common factor of 479/430,8514/322 = [GCF of 479,8514]/[LCM of 430,322]= 1/69230
Therefore, the GCF of 479/430,8514/322 is 1/69230.
To find the highest common factor of 479,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 479 are 1, 479
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The HCF of 479,8514 is 1.
Lets's calculate GCF of 479,8514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 479,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 479
:1,479
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Greatest Common Factor
We found the factors 479,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 479,8514 is 1.
Lets's calculate LCM of 430,322
| 2 | 430, 322 |
| 215, 161 |
∴ So the LCM of the given numbers is 2 x 215 x 161 = 69230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69230
Therefore, the GCF of Fractions 479/430,8514/322 is 1/69230
Least Common Multiple of 430,322 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 430,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,322) x common factors =2 x 1 = 2
LCM(430,322) = ( 430 × 322 ) / 2
LCM(430,322) = 138460 / 2
LCM(430,322) = 69230
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 479/430, 8514/322
1. What is the HCF of 479,8514?
The HCF of 479,8514 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 479/430, 8514/322?
Answer: GCF of Numerators as per given numbers 479/430, 8514/322 is
GCF of Numerators i.e. for 479,8514 is 1
LCM of denominators i.e. for 430,322 is 69230.
Thus, GCF of Fractions is 1/69230.Finally, GCF of Fractions for 479/430, 8514/322 is 1/69230.