GCF of 8619/169, 1687/7442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8619/169, 1687/7442 i.e 1/1257698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8619/169, 1687/7442.
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 8619/169,1687/7442?
Given fractions are 8619/169,1687/7442
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 8619/169,1687/7442, numerators are 8619,1687
Denominators are 169,7442
The GCF of 8619,1687 is 1 .
LCM of 169,7442 is 1257698.
The greatest common factor of 8619/169,1687/7442 = [GCF of 8619,1687]/[LCM of 169,7442]= 1/1257698
Therefore, the GCF of 8619/169,1687/7442 is 1/1257698.
To find the highest common factor of 8619,1687, we have to find the factors of both numbers and list the highest common factor.
The factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619
The factors of 1687 are 1, 7, 241, 1687
The HCF of 8619,1687 is 1.
Lets's calculate GCF of 8619,1687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8619,1687 By Matching Biggest Common Factor Method
Now, list down the factors of 8619
:1,3,13,17,39,51,169,221,507,663,2873,8619
Now, list down the factors of 1687
:1,7,241,1687
Greatest Common Factor
We found the factors 8619,1687 . The biggest common factor number is the GCF number.
So the greatest common factor 8619,1687 is 1.
Lets's calculate LCM of 169,7442
Given numbers has no common factors except 1. So, there LCM is their product i.e 1257698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1257698
Therefore, the GCF of Fractions 8619/169,1687/7442 is 1/1257698
Least Common Multiple of 169,7442 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 169,7442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,7442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,7442) x common factors =1 x 1 = 1
LCM(169,7442) = ( 169 × 7442 ) / 1
LCM(169,7442) = 1257698 / 1
LCM(169,7442) = 1257698
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FAQs on GCF of Fractions of 8619/169, 1687/7442
1. What is the HCF of 8619,1687?
The HCF of 8619,1687 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 8619/169, 1687/7442?
Answer: GCF of Numerators as per given numbers 8619/169, 1687/7442 is
GCF of Numerators i.e. for 8619,1687 is 1
LCM of denominators i.e. for 169,7442 is 1257698.
Thus, GCF of Fractions is 1/1257698.Finally, GCF of Fractions for 8619/169, 1687/7442 is 1/1257698.