GCF of 8289/493, 1264/1540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8289/493, 1264/1540 i.e 1/759220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8289/493, 1264/1540.
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 8289/493,1264/1540?
Given fractions are 8289/493,1264/1540
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 8289/493,1264/1540, numerators are 8289,1264
Denominators are 493,1540
The GCF of 8289,1264 is 1 .
LCM of 493,1540 is 759220.
The greatest common factor of 8289/493,1264/1540 = [GCF of 8289,1264]/[LCM of 493,1540]= 1/759220
Therefore, the GCF of 8289/493,1264/1540 is 1/759220.
To find the highest common factor of 8289,1264, we have to find the factors of both numbers and list the highest common factor.
The factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289
The factors of 1264 are 1, 2, 4, 8, 16, 79, 158, 316, 632, 1264
The HCF of 8289,1264 is 1.
Lets's calculate GCF of 8289,1264
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8289,1264 By Matching Biggest Common Factor Method
Now, list down the factors of 8289
:1,3,9,27,307,921,2763,8289
Now, list down the factors of 1264
:1,2,4,8,16,79,158,316,632,1264
Greatest Common Factor
We found the factors 8289,1264 . The biggest common factor number is the GCF number.
So the greatest common factor 8289,1264 is 1.
Lets's calculate LCM of 493,1540
Given numbers has no common factors except 1. So, there LCM is their product i.e 759220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759220
Therefore, the GCF of Fractions 8289/493,1264/1540 is 1/759220
Least Common Multiple of 493,1540 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 493,1540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,1540) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,1540) x common factors =1 x 1 = 1
LCM(493,1540) = ( 493 × 1540 ) / 1
LCM(493,1540) = 759220 / 1
LCM(493,1540) = 759220
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FAQs on GCF of Fractions of 8289/493, 1264/1540
1. What is the HCF of 8289,1264?
The HCF of 8289,1264 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 8289/493, 1264/1540?
Answer: GCF of Numerators as per given numbers 8289/493, 1264/1540 is
GCF of Numerators i.e. for 8289,1264 is 1
LCM of denominators i.e. for 493,1540 is 759220.
Thus, GCF of Fractions is 1/759220.Finally, GCF of Fractions for 8289/493, 1264/1540 is 1/759220.