GCF of 6237/804, 6426/5383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6237/804, 6426/5383 i.e 189/4327932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6237/804, 6426/5383.
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 6237/804,6426/5383?
Given fractions are 6237/804,6426/5383
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 6237/804,6426/5383, numerators are 6237,6426
Denominators are 804,5383
The GCF of 6237,6426 is 189 .
LCM of 804,5383 is 4327932.
The greatest common factor of 6237/804,6426/5383 = [GCF of 6237,6426]/[LCM of 804,5383]= 189/4327932
Therefore, the GCF of 6237/804,6426/5383 is 189/4327932.
To find the highest common factor of 6237,6426, we have to find the factors of both numbers and list the highest common factor.
The factors of 6237 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237
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 6237,6426 is 189.
Lets's calculate GCF of 6237,6426
| 3 | 6237, 6426 |
| 3 | 2079, 2142 |
| 3 | 693, 714 |
| 7 | 231, 238 |
| 33, 34 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 7 = 189
Greatest Common Factor of 6237,6426 By Matching Biggest Common Factor Method
Now, list down the factors of 6237
:1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237
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 6237,6426 . The biggest common factor number is the GCF number.
So the greatest common factor 6237,6426 is 189.
Lets's calculate LCM of 804,5383
Given numbers has no common factors except 1. So, there LCM is their product i.e 4327932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 189/4327932
Therefore, the GCF of Fractions 6237/804,6426/5383 is 189/4327932
Least Common Multiple of 804,5383 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 804,5383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,5383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(804,5383) x common factors =1 x 1 = 1
LCM(804,5383) = ( 804 × 5383 ) / 1
LCM(804,5383) = 4327932 / 1
LCM(804,5383) = 4327932
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FAQs on GCF of Fractions of 6237/804, 6426/5383
1. What is the HCF of 6237,6426?
The HCF of 6237,6426 is 189
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 6237/804, 6426/5383?
Answer: GCF of Numerators as per given numbers 6237/804, 6426/5383 is
GCF of Numerators i.e. for 6237,6426 is 189
LCM of denominators i.e. for 804,5383 is 4327932.
Thus, GCF of Fractions is 189/4327932.Finally, GCF of Fractions for 6237/804, 6426/5383 is 189/4327932.