GCF of 3579/534, 6864/9069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3579/534, 6864/9069 i.e 3/1614282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3579/534, 6864/9069.
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 3579/534,6864/9069?
Given fractions are 3579/534,6864/9069
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 3579/534,6864/9069, numerators are 3579,6864
Denominators are 534,9069
The GCF of 3579,6864 is 3 .
LCM of 534,9069 is 1614282.
The greatest common factor of 3579/534,6864/9069 = [GCF of 3579,6864]/[LCM of 534,9069]= 3/1614282
Therefore, the GCF of 3579/534,6864/9069 is 3/1614282.
To find the highest common factor of 3579,6864, we have to find the factors of both numbers and list the highest common factor.
The factors of 3579 are 1, 3, 1193, 3579
The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864
The HCF of 3579,6864 is 3.
Lets's calculate GCF of 3579,6864
| 3 | 3579, 6864 |
| 1193, 2288 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3579,6864 By Matching Biggest Common Factor Method
Now, list down the factors of 3579
:1,3,1193,3579
Now, list down the factors of 6864
:1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864
Greatest Common Factor
We found the factors 3579,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 3579,6864 is 3.
Lets's calculate LCM of 534,9069
| 3 | 534, 9069 |
| 178, 3023 |
∴ So the LCM of the given numbers is 3 x 178 x 3023 = 1614282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1614282
Therefore, the GCF of Fractions 3579/534,6864/9069 is 3/1614282
Least Common Multiple of 534,9069 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 534,9069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,9069) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(534,9069) x common factors =3 x 1 = 3
LCM(534,9069) = ( 534 × 9069 ) / 3
LCM(534,9069) = 4842846 / 3
LCM(534,9069) = 1614282
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FAQs on GCF of Fractions of 3579/534, 6864/9069
1. What is the HCF of 3579,6864?
The HCF of 3579,6864 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 3579/534, 6864/9069?
Answer: GCF of Numerators as per given numbers 3579/534, 6864/9069 is
GCF of Numerators i.e. for 3579,6864 is 3
LCM of denominators i.e. for 534,9069 is 1614282.
Thus, GCF of Fractions is 3/1614282.Finally, GCF of Fractions for 3579/534, 6864/9069 is 3/1614282.