GCF of 6429/975, 6612/1956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6429/975, 6612/1956 i.e 3/635700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6429/975, 6612/1956.
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 6429/975,6612/1956?
Given fractions are 6429/975,6612/1956
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 6429/975,6612/1956, numerators are 6429,6612
Denominators are 975,1956
The GCF of 6429,6612 is 3 .
LCM of 975,1956 is 635700.
The greatest common factor of 6429/975,6612/1956 = [GCF of 6429,6612]/[LCM of 975,1956]= 3/635700
Therefore, the GCF of 6429/975,6612/1956 is 3/635700.
To find the highest common factor of 6429,6612, we have to find the factors of both numbers and list the highest common factor.
The factors of 6429 are 1, 3, 2143, 6429
The factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612
The HCF of 6429,6612 is 3.
Lets's calculate GCF of 6429,6612
| 3 | 6429, 6612 |
| 2143, 2204 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6429,6612 By Matching Biggest Common Factor Method
Now, list down the factors of 6429
:1,3,2143,6429
Now, list down the factors of 6612
:1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612
Greatest Common Factor
We found the factors 6429,6612 . The biggest common factor number is the GCF number.
So the greatest common factor 6429,6612 is 3.
Lets's calculate LCM of 975,1956
| 3 | 975, 1956 |
| 325, 652 |
∴ So the LCM of the given numbers is 3 x 325 x 652 = 635700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/635700
Therefore, the GCF of Fractions 6429/975,6612/1956 is 3/635700
Least Common Multiple of 975,1956 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 975,1956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,1956) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,1956) x common factors =3 x 1 = 3
LCM(975,1956) = ( 975 × 1956 ) / 3
LCM(975,1956) = 1907100 / 3
LCM(975,1956) = 635700
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FAQs on GCF of Fractions of 6429/975, 6612/1956
1. What is the HCF of 6429,6612?
The HCF of 6429,6612 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 6429/975, 6612/1956?
Answer: GCF of Numerators as per given numbers 6429/975, 6612/1956 is
GCF of Numerators i.e. for 6429,6612 is 3
LCM of denominators i.e. for 975,1956 is 635700.
Thus, GCF of Fractions is 3/635700.Finally, GCF of Fractions for 6429/975, 6612/1956 is 3/635700.