GCF of 8578/737, 1365/9707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8578/737, 1365/9707 i.e 1/7154059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8578/737, 1365/9707.
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 8578/737,1365/9707?
Given fractions are 8578/737,1365/9707
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 8578/737,1365/9707, numerators are 8578,1365
Denominators are 737,9707
The GCF of 8578,1365 is 1 .
LCM of 737,9707 is 7154059.
The greatest common factor of 8578/737,1365/9707 = [GCF of 8578,1365]/[LCM of 737,9707]= 1/7154059
Therefore, the GCF of 8578/737,1365/9707 is 1/7154059.
To find the highest common factor of 8578,1365, we have to find the factors of both numbers and list the highest common factor.
The factors of 8578 are 1, 2, 4289, 8578
The factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365
The HCF of 8578,1365 is 1.
Lets's calculate GCF of 8578,1365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8578,1365 By Matching Biggest Common Factor Method
Now, list down the factors of 8578
:1,2,4289,8578
Now, list down the factors of 1365
:1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365
Greatest Common Factor
We found the factors 8578,1365 . The biggest common factor number is the GCF number.
So the greatest common factor 8578,1365 is 1.
Lets's calculate LCM of 737,9707
Given numbers has no common factors except 1. So, there LCM is their product i.e 7154059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7154059
Therefore, the GCF of Fractions 8578/737,1365/9707 is 1/7154059
Least Common Multiple of 737,9707 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 737,9707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,9707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,9707) x common factors =1 x 1 = 1
LCM(737,9707) = ( 737 × 9707 ) / 1
LCM(737,9707) = 7154059 / 1
LCM(737,9707) = 7154059
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FAQs on GCF of Fractions of 8578/737, 1365/9707
1. What is the HCF of 8578,1365?
The HCF of 8578,1365 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 8578/737, 1365/9707?
Answer: GCF of Numerators as per given numbers 8578/737, 1365/9707 is
GCF of Numerators i.e. for 8578,1365 is 1
LCM of denominators i.e. for 737,9707 is 7154059.
Thus, GCF of Fractions is 1/7154059.Finally, GCF of Fractions for 8578/737, 1365/9707 is 1/7154059.