GCF of 876/365, 667/166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/365, 667/166 i.e 1/60590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/365, 667/166.
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 876/365,667/166?
Given fractions are 876/365,667/166
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 876/365,667/166, numerators are 876,667
Denominators are 365,166
The GCF of 876,667 is 1 .
LCM of 365,166 is 60590.
The greatest common factor of 876/365,667/166 = [GCF of 876,667]/[LCM of 365,166]= 1/60590
Therefore, the GCF of 876/365,667/166 is 1/60590.
To find the highest common factor of 876,667, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 667 are 1, 23, 29, 667
The HCF of 876,667 is 1.
Lets's calculate GCF of 876,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 876,667 By Matching Biggest Common Factor Method
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 667
:1,23,29,667
Greatest Common Factor
We found the factors 876,667 . The biggest common factor number is the GCF number.
So the greatest common factor 876,667 is 1.
Lets's calculate LCM of 365,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 60590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60590
Therefore, the GCF of Fractions 876/365,667/166 is 1/60590
Least Common Multiple of 365,166 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 365,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,166) x common factors =1 x 1 = 1
LCM(365,166) = ( 365 × 166 ) / 1
LCM(365,166) = 60590 / 1
LCM(365,166) = 60590
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FAQs on GCF of Fractions of 876/365, 667/166
1. What is the HCF of 876,667?
The HCF of 876,667 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 876/365, 667/166?
Answer: GCF of Numerators as per given numbers 876/365, 667/166 is
GCF of Numerators i.e. for 876,667 is 1
LCM of denominators i.e. for 365,166 is 60590.
Thus, GCF of Fractions is 1/60590.Finally, GCF of Fractions for 876/365, 667/166 is 1/60590.