GCF of 8693/683, 7306/1508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8693/683, 7306/1508 i.e 1/1029964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8693/683, 7306/1508.
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 8693/683,7306/1508?
Given fractions are 8693/683,7306/1508
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 8693/683,7306/1508, numerators are 8693,7306
Denominators are 683,1508
The GCF of 8693,7306 is 1 .
LCM of 683,1508 is 1029964.
The greatest common factor of 8693/683,7306/1508 = [GCF of 8693,7306]/[LCM of 683,1508]= 1/1029964
Therefore, the GCF of 8693/683,7306/1508 is 1/1029964.
To find the highest common factor of 8693,7306, we have to find the factors of both numbers and list the highest common factor.
The factors of 8693 are 1, 8693
The factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306
The HCF of 8693,7306 is 1.
Lets's calculate GCF of 8693,7306
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8693,7306 By Matching Biggest Common Factor Method
Now, list down the factors of 8693
:1,8693
Now, list down the factors of 7306
:1,2,13,26,281,562,3653,7306
Greatest Common Factor
We found the factors 8693,7306 . The biggest common factor number is the GCF number.
So the greatest common factor 8693,7306 is 1.
Lets's calculate LCM of 683,1508
Given numbers has no common factors except 1. So, there LCM is their product i.e 1029964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1029964
Therefore, the GCF of Fractions 8693/683,7306/1508 is 1/1029964
Least Common Multiple of 683,1508 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 683,1508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,1508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,1508) x common factors =1 x 1 = 1
LCM(683,1508) = ( 683 × 1508 ) / 1
LCM(683,1508) = 1029964 / 1
LCM(683,1508) = 1029964
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FAQs on GCF of Fractions of 8693/683, 7306/1508
1. What is the HCF of 8693,7306?
The HCF of 8693,7306 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 8693/683, 7306/1508?
Answer: GCF of Numerators as per given numbers 8693/683, 7306/1508 is
GCF of Numerators i.e. for 8693,7306 is 1
LCM of denominators i.e. for 683,1508 is 1029964.
Thus, GCF of Fractions is 1/1029964.Finally, GCF of Fractions for 8693/683, 7306/1508 is 1/1029964.