GCF of 9264/724, 6171/8468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9264/724, 6171/8468 i.e 3/1532708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9264/724, 6171/8468.
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 9264/724,6171/8468?
Given fractions are 9264/724,6171/8468
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 9264/724,6171/8468, numerators are 9264,6171
Denominators are 724,8468
The GCF of 9264,6171 is 3 .
LCM of 724,8468 is 1532708.
The greatest common factor of 9264/724,6171/8468 = [GCF of 9264,6171]/[LCM of 724,8468]= 3/1532708
Therefore, the GCF of 9264/724,6171/8468 is 3/1532708.
To find the highest common factor of 9264,6171, we have to find the factors of both numbers and list the highest common factor.
The factors of 9264 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264
The factors of 6171 are 1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171
The HCF of 9264,6171 is 3.
Lets's calculate GCF of 9264,6171
| 3 | 9264, 6171 |
| 3088, 2057 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9264,6171 By Matching Biggest Common Factor Method
Now, list down the factors of 9264
:1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264
Now, list down the factors of 6171
:1,3,11,17,33,51,121,187,363,561,2057,6171
Greatest Common Factor
We found the factors 9264,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 9264,6171 is 3.
Lets's calculate LCM of 724,8468
| 2 | 724, 8468 |
| 2 | 362, 4234 |
| 181, 2117 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 2117 = 1532708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1532708
Therefore, the GCF of Fractions 9264/724,6171/8468 is 3/1532708
Least Common Multiple of 724,8468 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 724,8468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,8468) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,8468) x common factors =4 x 1 = 4
LCM(724,8468) = ( 724 × 8468 ) / 4
LCM(724,8468) = 6130832 / 4
LCM(724,8468) = 1532708
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FAQs on GCF of Fractions of 9264/724, 6171/8468
1. What is the HCF of 9264,6171?
The HCF of 9264,6171 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 9264/724, 6171/8468?
Answer: GCF of Numerators as per given numbers 9264/724, 6171/8468 is
GCF of Numerators i.e. for 9264,6171 is 3
LCM of denominators i.e. for 724,8468 is 1532708.
Thus, GCF of Fractions is 3/1532708.Finally, GCF of Fractions for 9264/724, 6171/8468 is 3/1532708.