GCF of 27/11, 642/30, 745/127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 27/11, 642/30, 745/127 i.e 1/41910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/11, 642/30, 745/127.
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 27/11,642/30,745/127?
Given fractions are 27/11,642/30,745/127
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 27/11,642/30,745/127, numerators are 27,642,745
Denominators are 11,30,127
The GCF of 27,642,745 is 1 .
LCM of 11,30,127 is 41910.
The greatest common factor of 27/11,642/30,745/127 = [GCF of 27,642,745]/[LCM of 11,30,127]= 1/41910
Therefore, the GCF of 27/11,642/30,745/127 is 1/41910.
To find the highest common factor of 27,642,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642
The factors of 745 are 1, 5, 149, 745
The HCF of 27,642,745 is 1.
Lets's calculate GCF of 27,642,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 27,642,745 By Matching Biggest Common Factor Method
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 642
:1,2,3,6,107,214,321,642
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 27,642,745 . The biggest common factor number is the GCF number.
So the greatest common factor 27,642,745 is 1.
Lets's calculate LCM of 11,30,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 41910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41910
Therefore, the GCF of Fractions 27/11,642/30,745/127 is 1/41910
Least Common Multiple of 11,30,127 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 11,30,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,30,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,30,127) x common factors =1 x 1 = 1
LCM(11,30,127) = ( 11 × 30 × 127 ) / 1
LCM(11,30,127) = 41910 / 1
LCM(11,30,127) = 41910
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FAQs on GCF of Fractions of 27/11, 642/30, 745/127
1. What is the HCF of 27,642,745?
The HCF of 27,642,745 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 27/11, 642/30, 745/127?
Answer: GCF of Numerators as per given numbers 27/11, 642/30, 745/127 is
GCF of Numerators i.e. for 27,642,745 is 1
LCM of denominators i.e. for 11,30,127 is 41910.
Thus, GCF of Fractions is 1/41910.Finally, GCF of Fractions for 27/11, 642/30, 745/127 is 1/41910.