GCF of 18/855, 10/782, 279/613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/855, 10/782, 279/613 i.e 1/409857930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/855, 10/782, 279/613.
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 18/855,10/782,279/613?
Given fractions are 18/855,10/782,279/613
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 18/855,10/782,279/613, numerators are 18,10,279
Denominators are 855,782,613
The GCF of 18,10,279 is 1 .
LCM of 855,782,613 is 409857930.
The greatest common factor of 18/855,10/782,279/613 = [GCF of 18,10,279]/[LCM of 855,782,613]= 1/409857930
Therefore, the GCF of 18/855,10/782,279/613 is 1/409857930.
To find the highest common factor of 18,10,279, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 10 are 1, 2, 5, 10
The factors of 279 are 1, 3, 9, 31, 93, 279
The HCF of 18,10,279 is 1.
Lets's calculate GCF of 18,10,279
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,10,279 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 279
:1,3,9,31,93,279
Greatest Common Factor
We found the factors 18,10,279 . The biggest common factor number is the GCF number.
So the greatest common factor 18,10,279 is 1.
Lets's calculate LCM of 855,782,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 409857930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/409857930
Therefore, the GCF of Fractions 18/855,10/782,279/613 is 1/409857930
Least Common Multiple of 855,782,613 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 855,782,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,782,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,782,613) x common factors =1 x 1 = 1
LCM(855,782,613) = ( 855 × 782 × 613 ) / 1
LCM(855,782,613) = 409857930 / 1
LCM(855,782,613) = 409857930
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FAQs on GCF of Fractions of 18/855, 10/782, 279/613
1. What is the HCF of 18,10,279?
The HCF of 18,10,279 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 18/855, 10/782, 279/613?
Answer: GCF of Numerators as per given numbers 18/855, 10/782, 279/613 is
GCF of Numerators i.e. for 18,10,279 is 1
LCM of denominators i.e. for 855,782,613 is 409857930.
Thus, GCF of Fractions is 1/409857930.Finally, GCF of Fractions for 18/855, 10/782, 279/613 is 1/409857930.