GCF of 6417/375, 1530/9456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6417/375, 1530/9456 i.e 9/1182000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6417/375, 1530/9456.
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 6417/375,1530/9456?
Given fractions are 6417/375,1530/9456
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 6417/375,1530/9456, numerators are 6417,1530
Denominators are 375,9456
The GCF of 6417,1530 is 9 .
LCM of 375,9456 is 1182000.
The greatest common factor of 6417/375,1530/9456 = [GCF of 6417,1530]/[LCM of 375,9456]= 9/1182000
Therefore, the GCF of 6417/375,1530/9456 is 9/1182000.
To find the highest common factor of 6417,1530, we have to find the factors of both numbers and list the highest common factor.
The factors of 6417 are 1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417
The factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530
The HCF of 6417,1530 is 9.
Lets's calculate GCF of 6417,1530
| 3 | 6417, 1530 |
| 3 | 2139, 510 |
| 713, 170 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6417,1530 By Matching Biggest Common Factor Method
Now, list down the factors of 6417
:1,3,9,23,31,69,93,207,279,713,2139,6417
Now, list down the factors of 1530
:1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530
Greatest Common Factor
We found the factors 6417,1530 . The biggest common factor number is the GCF number.
So the greatest common factor 6417,1530 is 9.
Lets's calculate LCM of 375,9456
| 3 | 375, 9456 |
| 125, 3152 |
∴ So the LCM of the given numbers is 3 x 125 x 3152 = 1182000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1182000
Therefore, the GCF of Fractions 6417/375,1530/9456 is 9/1182000
Least Common Multiple of 375,9456 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 375,9456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,9456) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,9456) x common factors =3 x 1 = 3
LCM(375,9456) = ( 375 × 9456 ) / 3
LCM(375,9456) = 3546000 / 3
LCM(375,9456) = 1182000
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FAQs on GCF of Fractions of 6417/375, 1530/9456
1. What is the HCF of 6417,1530?
The HCF of 6417,1530 is 9
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 6417/375, 1530/9456?
Answer: GCF of Numerators as per given numbers 6417/375, 1530/9456 is
GCF of Numerators i.e. for 6417,1530 is 9
LCM of denominators i.e. for 375,9456 is 1182000.
Thus, GCF of Fractions is 9/1182000.Finally, GCF of Fractions for 6417/375, 1530/9456 is 9/1182000.