GCF of 2174/404, 6426/7462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2174/404, 6426/7462 i.e 2/1507324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2174/404, 6426/7462.
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 2174/404,6426/7462?
Given fractions are 2174/404,6426/7462
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 2174/404,6426/7462, numerators are 2174,6426
Denominators are 404,7462
The GCF of 2174,6426 is 2 .
LCM of 404,7462 is 1507324.
The greatest common factor of 2174/404,6426/7462 = [GCF of 2174,6426]/[LCM of 404,7462]= 2/1507324
Therefore, the GCF of 2174/404,6426/7462 is 2/1507324.
To find the highest common factor of 2174,6426, we have to find the factors of both numbers and list the highest common factor.
The factors of 2174 are 1, 2, 1087, 2174
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 HCF of 2174,6426 is 2.
Lets's calculate GCF of 2174,6426
| 2 | 2174, 6426 |
| 1087, 3213 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2174,6426 By Matching Biggest Common Factor Method
Now, list down the factors of 2174
:1,2,1087,2174
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
Greatest Common Factor
We found the factors 2174,6426 . The biggest common factor number is the GCF number.
So the greatest common factor 2174,6426 is 2.
Lets's calculate LCM of 404,7462
| 2 | 404, 7462 |
| 202, 3731 |
∴ So the LCM of the given numbers is 2 x 202 x 3731 = 1507324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1507324
Therefore, the GCF of Fractions 2174/404,6426/7462 is 2/1507324
Least Common Multiple of 404,7462 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 404,7462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,7462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(404,7462) x common factors =2 x 1 = 2
LCM(404,7462) = ( 404 × 7462 ) / 2
LCM(404,7462) = 3014648 / 2
LCM(404,7462) = 1507324
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FAQs on GCF of Fractions of 2174/404, 6426/7462
1. What is the HCF of 2174,6426?
The HCF of 2174,6426 is 2
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 2174/404, 6426/7462?
Answer: GCF of Numerators as per given numbers 2174/404, 6426/7462 is
GCF of Numerators i.e. for 2174,6426 is 2
LCM of denominators i.e. for 404,7462 is 1507324.
Thus, GCF of Fractions is 2/1507324.Finally, GCF of Fractions for 2174/404, 6426/7462 is 2/1507324.