GCF of 7147/563, 7669/8198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7147/563, 7669/8198 i.e 1/4615474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7147/563, 7669/8198.
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 7147/563,7669/8198?
Given fractions are 7147/563,7669/8198
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 7147/563,7669/8198, numerators are 7147,7669
Denominators are 563,8198
The GCF of 7147,7669 is 1 .
LCM of 563,8198 is 4615474.
The greatest common factor of 7147/563,7669/8198 = [GCF of 7147,7669]/[LCM of 563,8198]= 1/4615474
Therefore, the GCF of 7147/563,7669/8198 is 1/4615474.
To find the highest common factor of 7147,7669, we have to find the factors of both numbers and list the highest common factor.
The factors of 7147 are 1, 7, 1021, 7147
The factors of 7669 are 1, 7669
The HCF of 7147,7669 is 1.
Lets's calculate GCF of 7147,7669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7147,7669 By Matching Biggest Common Factor Method
Now, list down the factors of 7147
:1,7,1021,7147
Now, list down the factors of 7669
:1,7669
Greatest Common Factor
We found the factors 7147,7669 . The biggest common factor number is the GCF number.
So the greatest common factor 7147,7669 is 1.
Lets's calculate LCM of 563,8198
Given numbers has no common factors except 1. So, there LCM is their product i.e 4615474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4615474
Therefore, the GCF of Fractions 7147/563,7669/8198 is 1/4615474
Least Common Multiple of 563,8198 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 563,8198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,8198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,8198) x common factors =1 x 1 = 1
LCM(563,8198) = ( 563 × 8198 ) / 1
LCM(563,8198) = 4615474 / 1
LCM(563,8198) = 4615474
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FAQs on GCF of Fractions of 7147/563, 7669/8198
1. What is the HCF of 7147,7669?
The HCF of 7147,7669 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 7147/563, 7669/8198?
Answer: GCF of Numerators as per given numbers 7147/563, 7669/8198 is
GCF of Numerators i.e. for 7147,7669 is 1
LCM of denominators i.e. for 563,8198 is 4615474.
Thus, GCF of Fractions is 1/4615474.Finally, GCF of Fractions for 7147/563, 7669/8198 is 1/4615474.