GCF of 429/404, 2724/7966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 429/404, 2724/7966 i.e 3/1609132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/404, 2724/7966.
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 429/404,2724/7966?
Given fractions are 429/404,2724/7966
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 429/404,2724/7966, numerators are 429,2724
Denominators are 404,7966
The GCF of 429,2724 is 3 .
LCM of 404,7966 is 1609132.
The greatest common factor of 429/404,2724/7966 = [GCF of 429,2724]/[LCM of 404,7966]= 3/1609132
Therefore, the GCF of 429/404,2724/7966 is 3/1609132.
To find the highest common factor of 429,2724, we have to find the factors of both numbers and list the highest common factor.
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The factors of 2724 are 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724
The HCF of 429,2724 is 3.
Lets's calculate GCF of 429,2724
| 3 | 429, 2724 |
| 143, 908 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 429,2724 By Matching Biggest Common Factor Method
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 2724
:1,2,3,4,6,12,227,454,681,908,1362,2724
Greatest Common Factor
We found the factors 429,2724 . The biggest common factor number is the GCF number.
So the greatest common factor 429,2724 is 3.
Lets's calculate LCM of 404,7966
| 2 | 404, 7966 |
| 202, 3983 |
∴ So the LCM of the given numbers is 2 x 202 x 3983 = 1609132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1609132
Therefore, the GCF of Fractions 429/404,2724/7966 is 3/1609132
Least Common Multiple of 404,7966 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 404,7966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,7966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(404,7966) x common factors =2 x 1 = 2
LCM(404,7966) = ( 404 × 7966 ) / 2
LCM(404,7966) = 3218264 / 2
LCM(404,7966) = 1609132
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FAQs on GCF of Fractions of 429/404, 2724/7966
1. What is the HCF of 429,2724?
The HCF of 429,2724 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 429/404, 2724/7966?
Answer: GCF of Numerators as per given numbers 429/404, 2724/7966 is
GCF of Numerators i.e. for 429,2724 is 3
LCM of denominators i.e. for 404,7966 is 1609132.
Thus, GCF of Fractions is 3/1609132.Finally, GCF of Fractions for 429/404, 2724/7966 is 3/1609132.