GCF of 7279/514, 1564/8177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7279/514, 1564/8177 i.e 1/4202978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7279/514, 1564/8177.
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 7279/514,1564/8177?
Given fractions are 7279/514,1564/8177
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 7279/514,1564/8177, numerators are 7279,1564
Denominators are 514,8177
The GCF of 7279,1564 is 1 .
LCM of 514,8177 is 4202978.
The greatest common factor of 7279/514,1564/8177 = [GCF of 7279,1564]/[LCM of 514,8177]= 1/4202978
Therefore, the GCF of 7279/514,1564/8177 is 1/4202978.
To find the highest common factor of 7279,1564, we have to find the factors of both numbers and list the highest common factor.
The factors of 7279 are 1, 29, 251, 7279
The factors of 1564 are 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564
The HCF of 7279,1564 is 1.
Lets's calculate GCF of 7279,1564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7279,1564 By Matching Biggest Common Factor Method
Now, list down the factors of 7279
:1,29,251,7279
Now, list down the factors of 1564
:1,2,4,17,23,34,46,68,92,391,782,1564
Greatest Common Factor
We found the factors 7279,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 7279,1564 is 1.
Lets's calculate LCM of 514,8177
Given numbers has no common factors except 1. So, there LCM is their product i.e 4202978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4202978
Therefore, the GCF of Fractions 7279/514,1564/8177 is 1/4202978
Least Common Multiple of 514,8177 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 514,8177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,8177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,8177) x common factors =1 x 1 = 1
LCM(514,8177) = ( 514 × 8177 ) / 1
LCM(514,8177) = 4202978 / 1
LCM(514,8177) = 4202978
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FAQs on GCF of Fractions of 7279/514, 1564/8177
1. What is the HCF of 7279,1564?
The HCF of 7279,1564 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 7279/514, 1564/8177?
Answer: GCF of Numerators as per given numbers 7279/514, 1564/8177 is
GCF of Numerators i.e. for 7279,1564 is 1
LCM of denominators i.e. for 514,8177 is 4202978.
Thus, GCF of Fractions is 1/4202978.Finally, GCF of Fractions for 7279/514, 1564/8177 is 1/4202978.