GCF of 9130/184, 8624/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9130/184, 8624/724 i.e 22/33304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9130/184, 8624/724.
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 9130/184,8624/724?
Given fractions are 9130/184,8624/724
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 9130/184,8624/724, numerators are 9130,8624
Denominators are 184,724
The GCF of 9130,8624 is 22 .
LCM of 184,724 is 33304.
The greatest common factor of 9130/184,8624/724 = [GCF of 9130,8624]/[LCM of 184,724]= 22/33304
Therefore, the GCF of 9130/184,8624/724 is 22/33304.
To find the highest common factor of 9130,8624, we have to find the factors of both numbers and list the highest common factor.
The factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130
The factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624
The HCF of 9130,8624 is 22.
Lets's calculate GCF of 9130,8624
| 2 | 9130, 8624 |
| 11 | 4565, 4312 |
| 415, 392 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 9130,8624 By Matching Biggest Common Factor Method
Now, list down the factors of 9130
:1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130
Now, list down the factors of 8624
:1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624
Greatest Common Factor
We found the factors 9130,8624 . The biggest common factor number is the GCF number.
So the greatest common factor 9130,8624 is 22.
Lets's calculate LCM of 184,724
| 2 | 184, 724 |
| 2 | 92, 362 |
| 46, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 46 x 181 = 33304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/33304
Therefore, the GCF of Fractions 9130/184,8624/724 is 22/33304
Least Common Multiple of 184,724 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 184,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(184,724) x common factors =4 x 1 = 4
LCM(184,724) = ( 184 × 724 ) / 4
LCM(184,724) = 133216 / 4
LCM(184,724) = 33304
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FAQs on GCF of Fractions of 9130/184, 8624/724
1. What is the HCF of 9130,8624?
The HCF of 9130,8624 is 22
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 9130/184, 8624/724?
Answer: GCF of Numerators as per given numbers 9130/184, 8624/724 is
GCF of Numerators i.e. for 9130,8624 is 22
LCM of denominators i.e. for 184,724 is 33304.
Thus, GCF of Fractions is 22/33304.Finally, GCF of Fractions for 9130/184, 8624/724 is 22/33304.