GCF of 3270/902, 9174/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3270/902, 9174/538 i.e 6/242638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3270/902, 9174/538.
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 3270/902,9174/538?
Given fractions are 3270/902,9174/538
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 3270/902,9174/538, numerators are 3270,9174
Denominators are 902,538
The GCF of 3270,9174 is 6 .
LCM of 902,538 is 242638.
The greatest common factor of 3270/902,9174/538 = [GCF of 3270,9174]/[LCM of 902,538]= 6/242638
Therefore, the GCF of 3270/902,9174/538 is 6/242638.
To find the highest common factor of 3270,9174, we have to find the factors of both numbers and list the highest common factor.
The factors of 3270 are 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270
The factors of 9174 are 1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587, 9174
The HCF of 3270,9174 is 6.
Lets's calculate GCF of 3270,9174
| 2 | 3270, 9174 |
| 3 | 1635, 4587 |
| 545, 1529 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3270,9174 By Matching Biggest Common Factor Method
Now, list down the factors of 3270
:1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270
Now, list down the factors of 9174
:1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174
Greatest Common Factor
We found the factors 3270,9174 . The biggest common factor number is the GCF number.
So the greatest common factor 3270,9174 is 6.
Lets's calculate LCM of 902,538
| 2 | 902, 538 |
| 451, 269 |
∴ So the LCM of the given numbers is 2 x 451 x 269 = 242638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/242638
Therefore, the GCF of Fractions 3270/902,9174/538 is 6/242638
Least Common Multiple of 902,538 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 902,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,538) x common factors =2 x 1 = 2
LCM(902,538) = ( 902 × 538 ) / 2
LCM(902,538) = 485276 / 2
LCM(902,538) = 242638
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FAQs on GCF of Fractions of 3270/902, 9174/538
1. What is the HCF of 3270,9174?
The HCF of 3270,9174 is 6
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 3270/902, 9174/538?
Answer: GCF of Numerators as per given numbers 3270/902, 9174/538 is
GCF of Numerators i.e. for 3270,9174 is 6
LCM of denominators i.e. for 902,538 is 242638.
Thus, GCF of Fractions is 6/242638.Finally, GCF of Fractions for 3270/902, 9174/538 is 6/242638.