GCF of 8687/826, 1618/7451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8687/826, 1618/7451 i.e 1/6154526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8687/826, 1618/7451.
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 8687/826,1618/7451?
Given fractions are 8687/826,1618/7451
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 8687/826,1618/7451, numerators are 8687,1618
Denominators are 826,7451
The GCF of 8687,1618 is 1 .
LCM of 826,7451 is 6154526.
The greatest common factor of 8687/826,1618/7451 = [GCF of 8687,1618]/[LCM of 826,7451]= 1/6154526
Therefore, the GCF of 8687/826,1618/7451 is 1/6154526.
To find the highest common factor of 8687,1618, we have to find the factors of both numbers and list the highest common factor.
The factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687
The factors of 1618 are 1, 2, 809, 1618
The HCF of 8687,1618 is 1.
Lets's calculate GCF of 8687,1618
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8687,1618 By Matching Biggest Common Factor Method
Now, list down the factors of 8687
:1,7,17,73,119,511,1241,8687
Now, list down the factors of 1618
:1,2,809,1618
Greatest Common Factor
We found the factors 8687,1618 . The biggest common factor number is the GCF number.
So the greatest common factor 8687,1618 is 1.
Lets's calculate LCM of 826,7451
Given numbers has no common factors except 1. So, there LCM is their product i.e 6154526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6154526
Therefore, the GCF of Fractions 8687/826,1618/7451 is 1/6154526
Least Common Multiple of 826,7451 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 826,7451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,7451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(826,7451) x common factors =1 x 1 = 1
LCM(826,7451) = ( 826 × 7451 ) / 1
LCM(826,7451) = 6154526 / 1
LCM(826,7451) = 6154526
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FAQs on GCF of Fractions of 8687/826, 1618/7451
1. What is the HCF of 8687,1618?
The HCF of 8687,1618 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 8687/826, 1618/7451?
Answer: GCF of Numerators as per given numbers 8687/826, 1618/7451 is
GCF of Numerators i.e. for 8687,1618 is 1
LCM of denominators i.e. for 826,7451 is 6154526.
Thus, GCF of Fractions is 1/6154526.Finally, GCF of Fractions for 8687/826, 1618/7451 is 1/6154526.