GCF of 1142/665, 8517/1902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1142/665, 8517/1902 i.e 1/1264830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1142/665, 8517/1902.
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 1142/665,8517/1902?
Given fractions are 1142/665,8517/1902
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 1142/665,8517/1902, numerators are 1142,8517
Denominators are 665,1902
The GCF of 1142,8517 is 1 .
LCM of 665,1902 is 1264830.
The greatest common factor of 1142/665,8517/1902 = [GCF of 1142,8517]/[LCM of 665,1902]= 1/1264830
Therefore, the GCF of 1142/665,8517/1902 is 1/1264830.
To find the highest common factor of 1142,8517, we have to find the factors of both numbers and list the highest common factor.
The factors of 1142 are 1, 2, 571, 1142
The factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517
The HCF of 1142,8517 is 1.
Lets's calculate GCF of 1142,8517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1142,8517 By Matching Biggest Common Factor Method
Now, list down the factors of 1142
:1,2,571,1142
Now, list down the factors of 8517
:1,3,17,51,167,501,2839,8517
Greatest Common Factor
We found the factors 1142,8517 . The biggest common factor number is the GCF number.
So the greatest common factor 1142,8517 is 1.
Lets's calculate LCM of 665,1902
Given numbers has no common factors except 1. So, there LCM is their product i.e 1264830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1264830
Therefore, the GCF of Fractions 1142/665,8517/1902 is 1/1264830
Least Common Multiple of 665,1902 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 665,1902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,1902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,1902) x common factors =1 x 1 = 1
LCM(665,1902) = ( 665 × 1902 ) / 1
LCM(665,1902) = 1264830 / 1
LCM(665,1902) = 1264830
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FAQs on GCF of Fractions of 1142/665, 8517/1902
1. What is the HCF of 1142,8517?
The HCF of 1142,8517 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 1142/665, 8517/1902?
Answer: GCF of Numerators as per given numbers 1142/665, 8517/1902 is
GCF of Numerators i.e. for 1142,8517 is 1
LCM of denominators i.e. for 665,1902 is 1264830.
Thus, GCF of Fractions is 1/1264830.Finally, GCF of Fractions for 1142/665, 8517/1902 is 1/1264830.