GCF of 6438/838, 9097/7061
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6438/838, 9097/7061 i.e 1/5917118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6438/838, 9097/7061.
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 6438/838,9097/7061?
Given fractions are 6438/838,9097/7061
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 6438/838,9097/7061, numerators are 6438,9097
Denominators are 838,7061
The GCF of 6438,9097 is 1 .
LCM of 838,7061 is 5917118.
The greatest common factor of 6438/838,9097/7061 = [GCF of 6438,9097]/[LCM of 838,7061]= 1/5917118
Therefore, the GCF of 6438/838,9097/7061 is 1/5917118.
To find the highest common factor of 6438,9097, we have to find the factors of both numbers and list the highest common factor.
The factors of 6438 are 1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438
The factors of 9097 are 1, 11, 827, 9097
The HCF of 6438,9097 is 1.
Lets's calculate GCF of 6438,9097
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6438,9097 By Matching Biggest Common Factor Method
Now, list down the factors of 6438
:1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438
Now, list down the factors of 9097
:1,11,827,9097
Greatest Common Factor
We found the factors 6438,9097 . The biggest common factor number is the GCF number.
So the greatest common factor 6438,9097 is 1.
Lets's calculate LCM of 838,7061
Given numbers has no common factors except 1. So, there LCM is their product i.e 5917118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5917118
Therefore, the GCF of Fractions 6438/838,9097/7061 is 1/5917118
Least Common Multiple of 838,7061 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 838,7061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,7061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,7061) x common factors =1 x 1 = 1
LCM(838,7061) = ( 838 × 7061 ) / 1
LCM(838,7061) = 5917118 / 1
LCM(838,7061) = 5917118
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FAQs on GCF of Fractions of 6438/838, 9097/7061
1. What is the HCF of 6438,9097?
The HCF of 6438,9097 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 6438/838, 9097/7061?
Answer: GCF of Numerators as per given numbers 6438/838, 9097/7061 is
GCF of Numerators i.e. for 6438,9097 is 1
LCM of denominators i.e. for 838,7061 is 5917118.
Thus, GCF of Fractions is 1/5917118.Finally, GCF of Fractions for 6438/838, 9097/7061 is 1/5917118.