GCF of 3234/475, 2370/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3234/475, 2370/320 i.e 6/30400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3234/475, 2370/320.
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 3234/475,2370/320?
Given fractions are 3234/475,2370/320
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 3234/475,2370/320, numerators are 3234,2370
Denominators are 475,320
The GCF of 3234,2370 is 6 .
LCM of 475,320 is 30400.
The greatest common factor of 3234/475,2370/320 = [GCF of 3234,2370]/[LCM of 475,320]= 6/30400
Therefore, the GCF of 3234/475,2370/320 is 6/30400.
To find the highest common factor of 3234,2370, we have to find the factors of both numbers and list the highest common factor.
The factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
The factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
The HCF of 3234,2370 is 6.
Lets's calculate GCF of 3234,2370
| 2 | 3234, 2370 |
| 3 | 1617, 1185 |
| 539, 395 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3234,2370 By Matching Biggest Common Factor Method
Now, list down the factors of 3234
:1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234
Now, list down the factors of 2370
:1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Greatest Common Factor
We found the factors 3234,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 3234,2370 is 6.
Lets's calculate LCM of 475,320
| 5 | 475, 320 |
| 95, 64 |
∴ So the LCM of the given numbers is 5 x 95 x 64 = 30400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/30400
Therefore, the GCF of Fractions 3234/475,2370/320 is 6/30400
Least Common Multiple of 475,320 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 475,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,320) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(475,320) x common factors =5 x 1 = 5
LCM(475,320) = ( 475 × 320 ) / 5
LCM(475,320) = 152000 / 5
LCM(475,320) = 30400
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FAQs on GCF of Fractions of 3234/475, 2370/320
1. What is the HCF of 3234,2370?
The HCF of 3234,2370 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 3234/475, 2370/320?
Answer: GCF of Numerators as per given numbers 3234/475, 2370/320 is
GCF of Numerators i.e. for 3234,2370 is 6
LCM of denominators i.e. for 475,320 is 30400.
Thus, GCF of Fractions is 6/30400.Finally, GCF of Fractions for 3234/475, 2370/320 is 6/30400.