GCF of 54/857, 84/262, 567/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 54/857, 84/262, 567/111 i.e 3/24923274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/857, 84/262, 567/111.
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 54/857,84/262,567/111?
Given fractions are 54/857,84/262,567/111
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 54/857,84/262,567/111, numerators are 54,84,567
Denominators are 857,262,111
The GCF of 54,84,567 is 3 .
LCM of 857,262,111 is 24923274.
The greatest common factor of 54/857,84/262,567/111 = [GCF of 54,84,567]/[LCM of 857,262,111]= 3/24923274
Therefore, the GCF of 54/857,84/262,567/111 is 3/24923274.
To find the highest common factor of 54,84,567, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The HCF of 54,84,567 is 3.
Lets's calculate GCF of 54,84,567
| 3 | 54, 84, 567 |
| 18, 28, 189 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 54,84,567 By Matching Biggest Common Factor Method
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 54,84,567 . The biggest common factor number is the GCF number.
So the greatest common factor 54,84,567 is 3.
Lets's calculate LCM of 857,262,111
Given numbers has no common factors except 1. So, there LCM is their product i.e 24923274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24923274
Therefore, the GCF of Fractions 54/857,84/262,567/111 is 3/24923274
Least Common Multiple of 857,262,111 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 857,262,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,262,111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,262,111) x common factors =1 x 1 = 1
LCM(857,262,111) = ( 857 × 262 × 111 ) / 1
LCM(857,262,111) = 24923274 / 1
LCM(857,262,111) = 24923274
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FAQs on GCF of Fractions of 54/857, 84/262, 567/111
1. What is the HCF of 54,84,567?
The HCF of 54,84,567 is 3
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 54/857, 84/262, 567/111?
Answer: GCF of Numerators as per given numbers 54/857, 84/262, 567/111 is
GCF of Numerators i.e. for 54,84,567 is 3
LCM of denominators i.e. for 857,262,111 is 24923274.
Thus, GCF of Fractions is 3/24923274.Finally, GCF of Fractions for 54/857, 84/262, 567/111 is 3/24923274.