GCF of 101/81, 223/26, 774/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 101/81, 223/26, 774/149 i.e 1/313794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 101/81, 223/26, 774/149.
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 101/81,223/26,774/149?
Given fractions are 101/81,223/26,774/149
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 101/81,223/26,774/149, numerators are 101,223,774
Denominators are 81,26,149
The GCF of 101,223,774 is 1 .
LCM of 81,26,149 is 313794.
The greatest common factor of 101/81,223/26,774/149 = [GCF of 101,223,774]/[LCM of 81,26,149]= 1/313794
Therefore, the GCF of 101/81,223/26,774/149 is 1/313794.
To find the highest common factor of 101,223,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 101 are 1, 101
The factors of 223 are 1, 223
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 101,223,774 is 1.
Lets's calculate GCF of 101,223,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 101,223,774 By Matching Biggest Common Factor Method
Now, list down the factors of 101
:1,101
Now, list down the factors of 223
:1,223
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 101,223,774 . The biggest common factor number is the GCF number.
So the greatest common factor 101,223,774 is 1.
Lets's calculate LCM of 81,26,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 313794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313794
Therefore, the GCF of Fractions 101/81,223/26,774/149 is 1/313794
Least Common Multiple of 81,26,149 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 81,26,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,26,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,26,149) x common factors =1 x 1 = 1
LCM(81,26,149) = ( 81 × 26 × 149 ) / 1
LCM(81,26,149) = 313794 / 1
LCM(81,26,149) = 313794
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FAQs on GCF of Fractions of 101/81, 223/26, 774/149
1. What is the HCF of 101,223,774?
The HCF of 101,223,774 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 101/81, 223/26, 774/149?
Answer: GCF of Numerators as per given numbers 101/81, 223/26, 774/149 is
GCF of Numerators i.e. for 101,223,774 is 1
LCM of denominators i.e. for 81,26,149 is 313794.
Thus, GCF of Fractions is 1/313794.Finally, GCF of Fractions for 101/81, 223/26, 774/149 is 1/313794.