GCF of 4147/693, 9469/7459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4147/693, 9469/7459 i.e 1/5169087 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4147/693, 9469/7459.
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 4147/693,9469/7459?
Given fractions are 4147/693,9469/7459
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 4147/693,9469/7459, numerators are 4147,9469
Denominators are 693,7459
The GCF of 4147,9469 is 1 .
LCM of 693,7459 is 5169087.
The greatest common factor of 4147/693,9469/7459 = [GCF of 4147,9469]/[LCM of 693,7459]= 1/5169087
Therefore, the GCF of 4147/693,9469/7459 is 1/5169087.
To find the highest common factor of 4147,9469, we have to find the factors of both numbers and list the highest common factor.
The factors of 4147 are 1, 11, 13, 29, 143, 319, 377, 4147
The factors of 9469 are 1, 17, 557, 9469
The HCF of 4147,9469 is 1.
Lets's calculate GCF of 4147,9469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4147,9469 By Matching Biggest Common Factor Method
Now, list down the factors of 4147
:1,11,13,29,143,319,377,4147
Now, list down the factors of 9469
:1,17,557,9469
Greatest Common Factor
We found the factors 4147,9469 . The biggest common factor number is the GCF number.
So the greatest common factor 4147,9469 is 1.
Lets's calculate LCM of 693,7459
Given numbers has no common factors except 1. So, there LCM is their product i.e 5169087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5169087
Therefore, the GCF of Fractions 4147/693,9469/7459 is 1/5169087
Least Common Multiple of 693,7459 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 693,7459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,7459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(693,7459) x common factors =1 x 1 = 1
LCM(693,7459) = ( 693 × 7459 ) / 1
LCM(693,7459) = 5169087 / 1
LCM(693,7459) = 5169087
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FAQs on GCF of Fractions of 4147/693, 9469/7459
1. What is the HCF of 4147,9469?
The HCF of 4147,9469 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 4147/693, 9469/7459?
Answer: GCF of Numerators as per given numbers 4147/693, 9469/7459 is
GCF of Numerators i.e. for 4147,9469 is 1
LCM of denominators i.e. for 693,7459 is 5169087.
Thus, GCF of Fractions is 1/5169087.Finally, GCF of Fractions for 4147/693, 9469/7459 is 1/5169087.