GCF of 2429/521, 6804/6384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2429/521, 6804/6384 i.e 7/3326064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2429/521, 6804/6384.
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 2429/521,6804/6384?
Given fractions are 2429/521,6804/6384
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 2429/521,6804/6384, numerators are 2429,6804
Denominators are 521,6384
The GCF of 2429,6804 is 7 .
LCM of 521,6384 is 3326064.
The greatest common factor of 2429/521,6804/6384 = [GCF of 2429,6804]/[LCM of 521,6384]= 7/3326064
Therefore, the GCF of 2429/521,6804/6384 is 7/3326064.
To find the highest common factor of 2429,6804, we have to find the factors of both numbers and list the highest common factor.
The factors of 2429 are 1, 7, 347, 2429
The factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804
The HCF of 2429,6804 is 7.
Lets's calculate GCF of 2429,6804
| 7 | 2429, 6804 |
| 347, 972 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2429,6804 By Matching Biggest Common Factor Method
Now, list down the factors of 2429
:1,7,347,2429
Now, list down the factors of 6804
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Greatest Common Factor
We found the factors 2429,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 2429,6804 is 7.
Lets's calculate LCM of 521,6384
Given numbers has no common factors except 1. So, there LCM is their product i.e 3326064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3326064
Therefore, the GCF of Fractions 2429/521,6804/6384 is 7/3326064
Least Common Multiple of 521,6384 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 521,6384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,6384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,6384) x common factors =1 x 1 = 1
LCM(521,6384) = ( 521 × 6384 ) / 1
LCM(521,6384) = 3326064 / 1
LCM(521,6384) = 3326064
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FAQs on GCF of Fractions of 2429/521, 6804/6384
1. What is the HCF of 2429,6804?
The HCF of 2429,6804 is 7
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 2429/521, 6804/6384?
Answer: GCF of Numerators as per given numbers 2429/521, 6804/6384 is
GCF of Numerators i.e. for 2429,6804 is 7
LCM of denominators i.e. for 521,6384 is 3326064.
Thus, GCF of Fractions is 7/3326064.Finally, GCF of Fractions for 2429/521, 6804/6384 is 7/3326064.