GCF of 8597/403, 4188/1269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8597/403, 4188/1269 i.e 1/511407 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8597/403, 4188/1269.
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 8597/403,4188/1269?
Given fractions are 8597/403,4188/1269
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 8597/403,4188/1269, numerators are 8597,4188
Denominators are 403,1269
The GCF of 8597,4188 is 1 .
LCM of 403,1269 is 511407.
The greatest common factor of 8597/403,4188/1269 = [GCF of 8597,4188]/[LCM of 403,1269]= 1/511407
Therefore, the GCF of 8597/403,4188/1269 is 1/511407.
To find the highest common factor of 8597,4188, we have to find the factors of both numbers and list the highest common factor.
The factors of 8597 are 1, 8597
The factors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188
The HCF of 8597,4188 is 1.
Lets's calculate GCF of 8597,4188
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8597,4188 By Matching Biggest Common Factor Method
Now, list down the factors of 8597
:1,8597
Now, list down the factors of 4188
:1,2,3,4,6,12,349,698,1047,1396,2094,4188
Greatest Common Factor
We found the factors 8597,4188 . The biggest common factor number is the GCF number.
So the greatest common factor 8597,4188 is 1.
Lets's calculate LCM of 403,1269
Given numbers has no common factors except 1. So, there LCM is their product i.e 511407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511407
Therefore, the GCF of Fractions 8597/403,4188/1269 is 1/511407
Least Common Multiple of 403,1269 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 403,1269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,1269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,1269) x common factors =1 x 1 = 1
LCM(403,1269) = ( 403 × 1269 ) / 1
LCM(403,1269) = 511407 / 1
LCM(403,1269) = 511407
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FAQs on GCF of Fractions of 8597/403, 4188/1269
1. What is the HCF of 8597,4188?
The HCF of 8597,4188 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 8597/403, 4188/1269?
Answer: GCF of Numerators as per given numbers 8597/403, 4188/1269 is
GCF of Numerators i.e. for 8597,4188 is 1
LCM of denominators i.e. for 403,1269 is 511407.
Thus, GCF of Fractions is 1/511407.Finally, GCF of Fractions for 8597/403, 4188/1269 is 1/511407.