GCF of 328/584, 769/739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 328/584, 769/739 i.e 1/431576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 328/584, 769/739.
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 328/584,769/739?
Given fractions are 328/584,769/739
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 328/584,769/739, numerators are 328,769
Denominators are 584,739
The GCF of 328,769 is 1 .
LCM of 584,739 is 431576.
The greatest common factor of 328/584,769/739 = [GCF of 328,769]/[LCM of 584,739]= 1/431576
Therefore, the GCF of 328/584,769/739 is 1/431576.
To find the highest common factor of 328,769, we have to find the factors of both numbers and list the highest common factor.
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328
The factors of 769 are 1, 769
The HCF of 328,769 is 1.
Lets's calculate GCF of 328,769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 328,769 By Matching Biggest Common Factor Method
Now, list down the factors of 328
:1,2,4,8,41,82,164,328
Now, list down the factors of 769
:1,769
Greatest Common Factor
We found the factors 328,769 . The biggest common factor number is the GCF number.
So the greatest common factor 328,769 is 1.
Lets's calculate LCM of 584,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 431576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431576
Therefore, the GCF of Fractions 328/584,769/739 is 1/431576
Least Common Multiple of 584,739 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 584,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,739) x common factors =1 x 1 = 1
LCM(584,739) = ( 584 × 739 ) / 1
LCM(584,739) = 431576 / 1
LCM(584,739) = 431576
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FAQs on GCF of Fractions of 328/584, 769/739
1. What is the HCF of 328,769?
The HCF of 328,769 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 328/584, 769/739?
Answer: GCF of Numerators as per given numbers 328/584, 769/739 is
GCF of Numerators i.e. for 328,769 is 1
LCM of denominators i.e. for 584,739 is 431576.
Thus, GCF of Fractions is 1/431576.Finally, GCF of Fractions for 328/584, 769/739 is 1/431576.