GCF of 4257/638, 3174/1604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4257/638, 3174/1604 i.e 3/511676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4257/638, 3174/1604.
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 4257/638,3174/1604?
Given fractions are 4257/638,3174/1604
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 4257/638,3174/1604, numerators are 4257,3174
Denominators are 638,1604
The GCF of 4257,3174 is 3 .
LCM of 638,1604 is 511676.
The greatest common factor of 4257/638,3174/1604 = [GCF of 4257,3174]/[LCM of 638,1604]= 3/511676
Therefore, the GCF of 4257/638,3174/1604 is 3/511676.
To find the highest common factor of 4257,3174, we have to find the factors of both numbers and list the highest common factor.
The factors of 4257 are 1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257
The factors of 3174 are 1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174
The HCF of 4257,3174 is 3.
Lets's calculate GCF of 4257,3174
| 3 | 4257, 3174 |
| 1419, 1058 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4257,3174 By Matching Biggest Common Factor Method
Now, list down the factors of 4257
:1,3,9,11,33,43,99,129,387,473,1419,4257
Now, list down the factors of 3174
:1,2,3,6,23,46,69,138,529,1058,1587,3174
Greatest Common Factor
We found the factors 4257,3174 . The biggest common factor number is the GCF number.
So the greatest common factor 4257,3174 is 3.
Lets's calculate LCM of 638,1604
| 2 | 638, 1604 |
| 319, 802 |
∴ So the LCM of the given numbers is 2 x 319 x 802 = 511676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/511676
Therefore, the GCF of Fractions 4257/638,3174/1604 is 3/511676
Least Common Multiple of 638,1604 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 638,1604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,1604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,1604) x common factors =2 x 1 = 2
LCM(638,1604) = ( 638 × 1604 ) / 2
LCM(638,1604) = 1023352 / 2
LCM(638,1604) = 511676
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FAQs on GCF of Fractions of 4257/638, 3174/1604
1. What is the HCF of 4257,3174?
The HCF of 4257,3174 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 4257/638, 3174/1604?
Answer: GCF of Numerators as per given numbers 4257/638, 3174/1604 is
GCF of Numerators i.e. for 4257,3174 is 3
LCM of denominators i.e. for 638,1604 is 511676.
Thus, GCF of Fractions is 3/511676.Finally, GCF of Fractions for 4257/638, 3174/1604 is 3/511676.