GCF of 7118/516, 8575/781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7118/516, 8575/781 i.e 1/402996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7118/516, 8575/781.
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 7118/516,8575/781?
Given fractions are 7118/516,8575/781
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 7118/516,8575/781, numerators are 7118,8575
Denominators are 516,781
The GCF of 7118,8575 is 1 .
LCM of 516,781 is 402996.
The greatest common factor of 7118/516,8575/781 = [GCF of 7118,8575]/[LCM of 516,781]= 1/402996
Therefore, the GCF of 7118/516,8575/781 is 1/402996.
To find the highest common factor of 7118,8575, we have to find the factors of both numbers and list the highest common factor.
The factors of 7118 are 1, 2, 3559, 7118
The factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575
The HCF of 7118,8575 is 1.
Lets's calculate GCF of 7118,8575
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7118,8575 By Matching Biggest Common Factor Method
Now, list down the factors of 7118
:1,2,3559,7118
Now, list down the factors of 8575
:1,5,7,25,35,49,175,245,343,1225,1715,8575
Greatest Common Factor
We found the factors 7118,8575 . The biggest common factor number is the GCF number.
So the greatest common factor 7118,8575 is 1.
Lets's calculate LCM of 516,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 402996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402996
Therefore, the GCF of Fractions 7118/516,8575/781 is 1/402996
Least Common Multiple of 516,781 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 516,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,781) x common factors =1 x 1 = 1
LCM(516,781) = ( 516 × 781 ) / 1
LCM(516,781) = 402996 / 1
LCM(516,781) = 402996
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FAQs on GCF of Fractions of 7118/516, 8575/781
1. What is the HCF of 7118,8575?
The HCF of 7118,8575 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 7118/516, 8575/781?
Answer: GCF of Numerators as per given numbers 7118/516, 8575/781 is
GCF of Numerators i.e. for 7118,8575 is 1
LCM of denominators i.e. for 516,781 is 402996.
Thus, GCF of Fractions is 1/402996.Finally, GCF of Fractions for 7118/516, 8575/781 is 1/402996.