GCF of 8639/475, 2574/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8639/475, 2574/322 i.e 1/152950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8639/475, 2574/322.
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 8639/475,2574/322?
Given fractions are 8639/475,2574/322
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 8639/475,2574/322, numerators are 8639,2574
Denominators are 475,322
The GCF of 8639,2574 is 1 .
LCM of 475,322 is 152950.
The greatest common factor of 8639/475,2574/322 = [GCF of 8639,2574]/[LCM of 475,322]= 1/152950
Therefore, the GCF of 8639/475,2574/322 is 1/152950.
To find the highest common factor of 8639,2574, we have to find the factors of both numbers and list the highest common factor.
The factors of 8639 are 1, 53, 163, 8639
The factors of 2574 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574
The HCF of 8639,2574 is 1.
Lets's calculate GCF of 8639,2574
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8639,2574 By Matching Biggest Common Factor Method
Now, list down the factors of 8639
:1,53,163,8639
Now, list down the factors of 2574
:1,2,3,6,9,11,13,18,22,26,33,39,66,78,99,117,143,198,234,286,429,858,1287,2574
Greatest Common Factor
We found the factors 8639,2574 . The biggest common factor number is the GCF number.
So the greatest common factor 8639,2574 is 1.
Lets's calculate LCM of 475,322
Given numbers has no common factors except 1. So, there LCM is their product i.e 152950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152950
Therefore, the GCF of Fractions 8639/475,2574/322 is 1/152950
Least Common Multiple of 475,322 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 475,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,322) x common factors =1 x 1 = 1
LCM(475,322) = ( 475 × 322 ) / 1
LCM(475,322) = 152950 / 1
LCM(475,322) = 152950
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8639/475, 2574/322
1. What is the HCF of 8639,2574?
The HCF of 8639,2574 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 8639/475, 2574/322?
Answer: GCF of Numerators as per given numbers 8639/475, 2574/322 is
GCF of Numerators i.e. for 8639,2574 is 1
LCM of denominators i.e. for 475,322 is 152950.
Thus, GCF of Fractions is 1/152950.Finally, GCF of Fractions for 8639/475, 2574/322 is 1/152950.