GCF of 886/446, 769/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/446, 769/509 i.e 1/227014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/446, 769/509.
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 886/446,769/509?
Given fractions are 886/446,769/509
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 886/446,769/509, numerators are 886,769
Denominators are 446,509
The GCF of 886,769 is 1 .
LCM of 446,509 is 227014.
The greatest common factor of 886/446,769/509 = [GCF of 886,769]/[LCM of 446,509]= 1/227014
Therefore, the GCF of 886/446,769/509 is 1/227014.
To find the highest common factor of 886,769, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 769 are 1, 769
The HCF of 886,769 is 1.
Lets's calculate GCF of 886,769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 886,769 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 769
:1,769
Greatest Common Factor
We found the factors 886,769 . The biggest common factor number is the GCF number.
So the greatest common factor 886,769 is 1.
Lets's calculate LCM of 446,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 227014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227014
Therefore, the GCF of Fractions 886/446,769/509 is 1/227014
Least Common Multiple of 446,509 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 446,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,509) x common factors =1 x 1 = 1
LCM(446,509) = ( 446 × 509 ) / 1
LCM(446,509) = 227014 / 1
LCM(446,509) = 227014
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FAQs on GCF of Fractions of 886/446, 769/509
1. What is the HCF of 886,769?
The HCF of 886,769 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 886/446, 769/509?
Answer: GCF of Numerators as per given numbers 886/446, 769/509 is
GCF of Numerators i.e. for 886,769 is 1
LCM of denominators i.e. for 446,509 is 227014.
Thus, GCF of Fractions is 1/227014.Finally, GCF of Fractions for 886/446, 769/509 is 1/227014.