GCF of 6426/451, 1797/1699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6426/451, 1797/1699 i.e 3/766249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6426/451, 1797/1699.
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 6426/451,1797/1699?
Given fractions are 6426/451,1797/1699
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 6426/451,1797/1699, numerators are 6426,1797
Denominators are 451,1699
The GCF of 6426,1797 is 3 .
LCM of 451,1699 is 766249.
The greatest common factor of 6426/451,1797/1699 = [GCF of 6426,1797]/[LCM of 451,1699]= 3/766249
Therefore, the GCF of 6426/451,1797/1699 is 3/766249.
To find the highest common factor of 6426,1797, we have to find the factors of both numbers and list the highest common factor.
The factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426
The factors of 1797 are 1, 3, 599, 1797
The HCF of 6426,1797 is 3.
Lets's calculate GCF of 6426,1797
| 3 | 6426, 1797 |
| 2142, 599 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6426,1797 By Matching Biggest Common Factor Method
Now, list down the factors of 6426
:1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426
Now, list down the factors of 1797
:1,3,599,1797
Greatest Common Factor
We found the factors 6426,1797 . The biggest common factor number is the GCF number.
So the greatest common factor 6426,1797 is 3.
Lets's calculate LCM of 451,1699
Given numbers has no common factors except 1. So, there LCM is their product i.e 766249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/766249
Therefore, the GCF of Fractions 6426/451,1797/1699 is 3/766249
Least Common Multiple of 451,1699 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 451,1699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,1699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,1699) x common factors =1 x 1 = 1
LCM(451,1699) = ( 451 × 1699 ) / 1
LCM(451,1699) = 766249 / 1
LCM(451,1699) = 766249
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FAQs on GCF of Fractions of 6426/451, 1797/1699
1. What is the HCF of 6426,1797?
The HCF of 6426,1797 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 6426/451, 1797/1699?
Answer: GCF of Numerators as per given numbers 6426/451, 1797/1699 is
GCF of Numerators i.e. for 6426,1797 is 3
LCM of denominators i.e. for 451,1699 is 766249.
Thus, GCF of Fractions is 3/766249.Finally, GCF of Fractions for 6426/451, 1797/1699 is 3/766249.