GCF of 3569/829, 2574/8696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3569/829, 2574/8696 i.e 1/7208984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3569/829, 2574/8696.
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 3569/829,2574/8696?
Given fractions are 3569/829,2574/8696
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 3569/829,2574/8696, numerators are 3569,2574
Denominators are 829,8696
The GCF of 3569,2574 is 1 .
LCM of 829,8696 is 7208984.
The greatest common factor of 3569/829,2574/8696 = [GCF of 3569,2574]/[LCM of 829,8696]= 1/7208984
Therefore, the GCF of 3569/829,2574/8696 is 1/7208984.
To find the highest common factor of 3569,2574, we have to find the factors of both numbers and list the highest common factor.
The factors of 3569 are 1, 43, 83, 3569
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 3569,2574 is 1.
Lets's calculate GCF of 3569,2574
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3569,2574 By Matching Biggest Common Factor Method
Now, list down the factors of 3569
:1,43,83,3569
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 3569,2574 . The biggest common factor number is the GCF number.
So the greatest common factor 3569,2574 is 1.
Lets's calculate LCM of 829,8696
Given numbers has no common factors except 1. So, there LCM is their product i.e 7208984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7208984
Therefore, the GCF of Fractions 3569/829,2574/8696 is 1/7208984
Least Common Multiple of 829,8696 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 829,8696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,8696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,8696) x common factors =1 x 1 = 1
LCM(829,8696) = ( 829 × 8696 ) / 1
LCM(829,8696) = 7208984 / 1
LCM(829,8696) = 7208984
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FAQs on GCF of Fractions of 3569/829, 2574/8696
1. What is the HCF of 3569,2574?
The HCF of 3569,2574 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 3569/829, 2574/8696?
Answer: GCF of Numerators as per given numbers 3569/829, 2574/8696 is
GCF of Numerators i.e. for 3569,2574 is 1
LCM of denominators i.e. for 829,8696 is 7208984.
Thus, GCF of Fractions is 1/7208984.Finally, GCF of Fractions for 3569/829, 2574/8696 is 1/7208984.