GCF of 6174/458, 2295/8728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6174/458, 2295/8728 i.e 9/1998712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6174/458, 2295/8728.
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 6174/458,2295/8728?
Given fractions are 6174/458,2295/8728
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 6174/458,2295/8728, numerators are 6174,2295
Denominators are 458,8728
The GCF of 6174,2295 is 9 .
LCM of 458,8728 is 1998712.
The greatest common factor of 6174/458,2295/8728 = [GCF of 6174,2295]/[LCM of 458,8728]= 9/1998712
Therefore, the GCF of 6174/458,2295/8728 is 9/1998712.
To find the highest common factor of 6174,2295, we have to find the factors of both numbers and list the highest common factor.
The factors of 6174 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174
The factors of 2295 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765, 2295
The HCF of 6174,2295 is 9.
Lets's calculate GCF of 6174,2295
| 3 | 6174, 2295 |
| 3 | 2058, 765 |
| 686, 255 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6174,2295 By Matching Biggest Common Factor Method
Now, list down the factors of 6174
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,343,441,686,882,1029,2058,3087,6174
Now, list down the factors of 2295
:1,3,5,9,15,17,27,45,51,85,135,153,255,459,765,2295
Greatest Common Factor
We found the factors 6174,2295 . The biggest common factor number is the GCF number.
So the greatest common factor 6174,2295 is 9.
Lets's calculate LCM of 458,8728
| 2 | 458, 8728 |
| 229, 4364 |
∴ So the LCM of the given numbers is 2 x 229 x 4364 = 1998712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1998712
Therefore, the GCF of Fractions 6174/458,2295/8728 is 9/1998712
Least Common Multiple of 458,8728 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 458,8728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,8728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,8728) x common factors =2 x 1 = 2
LCM(458,8728) = ( 458 × 8728 ) / 2
LCM(458,8728) = 3997424 / 2
LCM(458,8728) = 1998712
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FAQs on GCF of Fractions of 6174/458, 2295/8728
1. What is the HCF of 6174,2295?
The HCF of 6174,2295 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 6174/458, 2295/8728?
Answer: GCF of Numerators as per given numbers 6174/458, 2295/8728 is
GCF of Numerators i.e. for 6174,2295 is 9
LCM of denominators i.e. for 458,8728 is 1998712.
Thus, GCF of Fractions is 9/1998712.Finally, GCF of Fractions for 6174/458, 2295/8728 is 9/1998712.