GCF of 20/277, 539/669, 161/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/277, 539/669, 161/540 i.e 1/33356340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/277, 539/669, 161/540.
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 20/277,539/669,161/540?
Given fractions are 20/277,539/669,161/540
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 20/277,539/669,161/540, numerators are 20,539,161
Denominators are 277,669,540
The GCF of 20,539,161 is 1 .
LCM of 277,669,540 is 33356340.
The greatest common factor of 20/277,539/669,161/540 = [GCF of 20,539,161]/[LCM of 277,669,540]= 1/33356340
Therefore, the GCF of 20/277,539/669,161/540 is 1/33356340.
To find the highest common factor of 20,539,161, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 539 are 1, 7, 11, 49, 77, 539
The factors of 161 are 1, 7, 23, 161
The HCF of 20,539,161 is 1.
Lets's calculate GCF of 20,539,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,539,161 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 539
:1,7,11,49,77,539
Now, list down the factors of 161
:1,7,23,161
Greatest Common Factor
We found the factors 20,539,161 . The biggest common factor number is the GCF number.
So the greatest common factor 20,539,161 is 1.
Lets's calculate LCM of 277,669,540
| 3 | 277, 669, 540 |
| 277, 223, 180 |
∴ So the LCM of the given numbers is 3 x 277 x 223 x 180 = 33356340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33356340
Therefore, the GCF of Fractions 20/277,539/669,161/540 is 1/33356340
Least Common Multiple of 277,669,540 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 277,669,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,669,540) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(277,669,540) x common factors =1 x 3 = 3
LCM(277,669,540) = ( 277 × 669 × 540 ) / 3
LCM(277,669,540) = 100069020 / 3
LCM(277,669,540) = 33356340
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FAQs on GCF of Fractions of 20/277, 539/669, 161/540
1. What is the HCF of 20,539,161?
The HCF of 20,539,161 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 20/277, 539/669, 161/540?
Answer: GCF of Numerators as per given numbers 20/277, 539/669, 161/540 is
GCF of Numerators i.e. for 20,539,161 is 1
LCM of denominators i.e. for 277,669,540 is 33356340.
Thus, GCF of Fractions is 1/33356340.Finally, GCF of Fractions for 20/277, 539/669, 161/540 is 1/33356340.