GCF of 8614/649, 6311/987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8614/649, 6311/987 i.e 1/640563 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8614/649, 6311/987.
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 8614/649,6311/987?
Given fractions are 8614/649,6311/987
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 8614/649,6311/987, numerators are 8614,6311
Denominators are 649,987
The GCF of 8614,6311 is 1 .
LCM of 649,987 is 640563.
The greatest common factor of 8614/649,6311/987 = [GCF of 8614,6311]/[LCM of 649,987]= 1/640563
Therefore, the GCF of 8614/649,6311/987 is 1/640563.
To find the highest common factor of 8614,6311, we have to find the factors of both numbers and list the highest common factor.
The factors of 8614 are 1, 2, 59, 73, 118, 146, 4307, 8614
The factors of 6311 are 1, 6311
The HCF of 8614,6311 is 1.
Lets's calculate GCF of 8614,6311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8614,6311 By Matching Biggest Common Factor Method
Now, list down the factors of 8614
:1,2,59,73,118,146,4307,8614
Now, list down the factors of 6311
:1,6311
Greatest Common Factor
We found the factors 8614,6311 . The biggest common factor number is the GCF number.
So the greatest common factor 8614,6311 is 1.
Lets's calculate LCM of 649,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 640563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/640563
Therefore, the GCF of Fractions 8614/649,6311/987 is 1/640563
Least Common Multiple of 649,987 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 649,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,987) x common factors =1 x 1 = 1
LCM(649,987) = ( 649 × 987 ) / 1
LCM(649,987) = 640563 / 1
LCM(649,987) = 640563
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FAQs on GCF of Fractions of 8614/649, 6311/987
1. What is the HCF of 8614,6311?
The HCF of 8614,6311 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 8614/649, 6311/987?
Answer: GCF of Numerators as per given numbers 8614/649, 6311/987 is
GCF of Numerators i.e. for 8614,6311 is 1
LCM of denominators i.e. for 649,987 is 640563.
Thus, GCF of Fractions is 1/640563.Finally, GCF of Fractions for 8614/649, 6311/987 is 1/640563.