GCF of 1168/854, 6489/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1168/854, 6489/587 i.e 1/501298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1168/854, 6489/587.
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 1168/854,6489/587?
Given fractions are 1168/854,6489/587
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 1168/854,6489/587, numerators are 1168,6489
Denominators are 854,587
The GCF of 1168,6489 is 1 .
LCM of 854,587 is 501298.
The greatest common factor of 1168/854,6489/587 = [GCF of 1168,6489]/[LCM of 854,587]= 1/501298
Therefore, the GCF of 1168/854,6489/587 is 1/501298.
To find the highest common factor of 1168,6489, we have to find the factors of both numbers and list the highest common factor.
The factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168
The factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489
The HCF of 1168,6489 is 1.
Lets's calculate GCF of 1168,6489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1168,6489 By Matching Biggest Common Factor Method
Now, list down the factors of 1168
:1,2,4,8,16,73,146,292,584,1168
Now, list down the factors of 6489
:1,3,7,9,21,63,103,309,721,927,2163,6489
Greatest Common Factor
We found the factors 1168,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 1168,6489 is 1.
Lets's calculate LCM of 854,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 501298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501298
Therefore, the GCF of Fractions 1168/854,6489/587 is 1/501298
Least Common Multiple of 854,587 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 854,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(854,587) x common factors =1 x 1 = 1
LCM(854,587) = ( 854 × 587 ) / 1
LCM(854,587) = 501298 / 1
LCM(854,587) = 501298
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FAQs on GCF of Fractions of 1168/854, 6489/587
1. What is the HCF of 1168,6489?
The HCF of 1168,6489 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 1168/854, 6489/587?
Answer: GCF of Numerators as per given numbers 1168/854, 6489/587 is
GCF of Numerators i.e. for 1168,6489 is 1
LCM of denominators i.e. for 854,587 is 501298.
Thus, GCF of Fractions is 1/501298.Finally, GCF of Fractions for 1168/854, 6489/587 is 1/501298.