GCF of 8078/559, 7723/3073
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8078/559, 7723/3073 i.e 1/1717807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8078/559, 7723/3073.
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 8078/559,7723/3073?
Given fractions are 8078/559,7723/3073
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 8078/559,7723/3073, numerators are 8078,7723
Denominators are 559,3073
The GCF of 8078,7723 is 1 .
LCM of 559,3073 is 1717807.
The greatest common factor of 8078/559,7723/3073 = [GCF of 8078,7723]/[LCM of 559,3073]= 1/1717807
Therefore, the GCF of 8078/559,7723/3073 is 1/1717807.
To find the highest common factor of 8078,7723, we have to find the factors of both numbers and list the highest common factor.
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The factors of 7723 are 1, 7723
The HCF of 8078,7723 is 1.
Lets's calculate GCF of 8078,7723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8078,7723 By Matching Biggest Common Factor Method
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Now, list down the factors of 7723
:1,7723
Greatest Common Factor
We found the factors 8078,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 8078,7723 is 1.
Lets's calculate LCM of 559,3073
Given numbers has no common factors except 1. So, there LCM is their product i.e 1717807
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1717807
Therefore, the GCF of Fractions 8078/559,7723/3073 is 1/1717807
Least Common Multiple of 559,3073 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 559,3073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,3073) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,3073) x common factors =1 x 1 = 1
LCM(559,3073) = ( 559 × 3073 ) / 1
LCM(559,3073) = 1717807 / 1
LCM(559,3073) = 1717807
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FAQs on GCF of Fractions of 8078/559, 7723/3073
1. What is the HCF of 8078,7723?
The HCF of 8078,7723 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 8078/559, 7723/3073?
Answer: GCF of Numerators as per given numbers 8078/559, 7723/3073 is
GCF of Numerators i.e. for 8078,7723 is 1
LCM of denominators i.e. for 559,3073 is 1717807.
Thus, GCF of Fractions is 1/1717807.Finally, GCF of Fractions for 8078/559, 7723/3073 is 1/1717807.