GCF of 8669/733, 3582/1532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8669/733, 3582/1532 i.e 1/1122956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8669/733, 3582/1532.
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 8669/733,3582/1532?
Given fractions are 8669/733,3582/1532
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 8669/733,3582/1532, numerators are 8669,3582
Denominators are 733,1532
The GCF of 8669,3582 is 1 .
LCM of 733,1532 is 1122956.
The greatest common factor of 8669/733,3582/1532 = [GCF of 8669,3582]/[LCM of 733,1532]= 1/1122956
Therefore, the GCF of 8669/733,3582/1532 is 1/1122956.
To find the highest common factor of 8669,3582, we have to find the factors of both numbers and list the highest common factor.
The factors of 8669 are 1, 8669
The factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582
The HCF of 8669,3582 is 1.
Lets's calculate GCF of 8669,3582
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8669,3582 By Matching Biggest Common Factor Method
Now, list down the factors of 8669
:1,8669
Now, list down the factors of 3582
:1,2,3,6,9,18,199,398,597,1194,1791,3582
Greatest Common Factor
We found the factors 8669,3582 . The biggest common factor number is the GCF number.
So the greatest common factor 8669,3582 is 1.
Lets's calculate LCM of 733,1532
Given numbers has no common factors except 1. So, there LCM is their product i.e 1122956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1122956
Therefore, the GCF of Fractions 8669/733,3582/1532 is 1/1122956
Least Common Multiple of 733,1532 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 733,1532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,1532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,1532) x common factors =1 x 1 = 1
LCM(733,1532) = ( 733 × 1532 ) / 1
LCM(733,1532) = 1122956 / 1
LCM(733,1532) = 1122956
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FAQs on GCF of Fractions of 8669/733, 3582/1532
1. What is the HCF of 8669,3582?
The HCF of 8669,3582 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 8669/733, 3582/1532?
Answer: GCF of Numerators as per given numbers 8669/733, 3582/1532 is
GCF of Numerators i.e. for 8669,3582 is 1
LCM of denominators i.e. for 733,1532 is 1122956.
Thus, GCF of Fractions is 1/1122956.Finally, GCF of Fractions for 8669/733, 3582/1532 is 1/1122956.