GCF of 567/348, 8205/2748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 567/348, 8205/2748 i.e 3/79692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/348, 8205/2748.
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 567/348,8205/2748?
Given fractions are 567/348,8205/2748
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 567/348,8205/2748, numerators are 567,8205
Denominators are 348,2748
The GCF of 567,8205 is 3 .
LCM of 348,2748 is 79692.
The greatest common factor of 567/348,8205/2748 = [GCF of 567,8205]/[LCM of 348,2748]= 3/79692
Therefore, the GCF of 567/348,8205/2748 is 3/79692.
To find the highest common factor of 567,8205, we have to find the factors of both numbers and list the highest common factor.
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205
The HCF of 567,8205 is 3.
Lets's calculate GCF of 567,8205
| 3 | 567, 8205 |
| 189, 2735 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 567,8205 By Matching Biggest Common Factor Method
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 8205
:1,3,5,15,547,1641,2735,8205
Greatest Common Factor
We found the factors 567,8205 . The biggest common factor number is the GCF number.
So the greatest common factor 567,8205 is 3.
Lets's calculate LCM of 348,2748
| 2 | 348, 2748 |
| 2 | 174, 1374 |
| 3 | 87, 687 |
| 29, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 229 = 79692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/79692
Therefore, the GCF of Fractions 567/348,8205/2748 is 3/79692
Least Common Multiple of 348,2748 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 348,2748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,2748) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(348,2748) x common factors =12 x 1 = 12
LCM(348,2748) = ( 348 × 2748 ) / 12
LCM(348,2748) = 956304 / 12
LCM(348,2748) = 79692
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FAQs on GCF of Fractions of 567/348, 8205/2748
1. What is the HCF of 567,8205?
The HCF of 567,8205 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 567/348, 8205/2748?
Answer: GCF of Numerators as per given numbers 567/348, 8205/2748 is
GCF of Numerators i.e. for 567,8205 is 3
LCM of denominators i.e. for 348,2748 is 79692.
Thus, GCF of Fractions is 3/79692.Finally, GCF of Fractions for 567/348, 8205/2748 is 3/79692.