GCF of 5/45, 54/20, 22/936, 661/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5/45, 54/20, 22/936, 661/270 i.e 1/14040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5/45, 54/20, 22/936, 661/270.
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 5/45,54/20,22/936,661/270?
Given fractions are 5/45,54/20,22/936,661/270
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 5/45,54/20,22/936,661/270, numerators are 5,54,22,661
Denominators are 45,20,936,270
The GCF of 5,54,22,661 is 1 .
LCM of 45,20,936,270 is 14040.
The greatest common factor of 5/45,54/20,22/936,661/270 = [GCF of 5,54,22,661]/[LCM of 45,20,936,270]= 1/14040
Therefore, the GCF of 5/45,54/20,22/936,661/270 is 1/14040.
To find the highest common factor of 5,54,22,661, we have to find the factors of both numbers and list the highest common factor.
The factors of 5 are 1, 5
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 22 are 1, 2, 11, 22
The factors of 661 are 1, 661
The HCF of 5,54,22,661 is 1.
Lets's calculate GCF of 5,54,22,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5,54,22,661 By Matching Biggest Common Factor Method
Now, list down the factors of 5
:1,5
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 661
:1,661
Greatest Common Factor
We found the factors 5,54,22,661 . The biggest common factor number is the GCF number.
So the greatest common factor 5,54,22,661 is 1.
Lets's calculate LCM of 45,20,936,270
| 2 | 45, 20, 936, 270 |
| 2 | 45, 10, 468, 135 |
| 3 | 45, 5, 234, 135 |
| 3 | 15, 5, 78, 45 |
| 5 | 5, 5, 26, 15 |
| 1, 1, 26, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 1 x 26 x 3 = 14040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14040
Therefore, the GCF of Fractions 5/45,54/20,22/936,661/270 is 1/14040
Least Common Multiple of 45,20,936,270 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 45,20,936,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,20,936,270) = 1
common factors(in case of two or more numbers have common factors) = 16200
GCF(45,20,936,270) x common factors =1 x 16200 = 16200
LCM(45,20,936,270) = ( 45 × 20 × 936 × 270 ) / 16200
LCM(45,20,936,270) = 227448000 / 16200
LCM(45,20,936,270) = 14040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5/45, 54/20, 22/936, 661/270
1. What is the HCF of 5,54,22,661?
The HCF of 5,54,22,661 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 5/45, 54/20, 22/936, 661/270?
Answer: GCF of Numerators as per given numbers 5/45, 54/20, 22/936, 661/270 is
GCF of Numerators i.e. for 5,54,22,661 is 1
LCM of denominators i.e. for 45,20,936,270 is 14040.
Thus, GCF of Fractions is 1/14040.Finally, GCF of Fractions for 5/45, 54/20, 22/936, 661/270 is 1/14040.