GCF of 9134/484, 7872/4304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9134/484, 7872/4304 i.e 2/520784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9134/484, 7872/4304.
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 9134/484,7872/4304?
Given fractions are 9134/484,7872/4304
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 9134/484,7872/4304, numerators are 9134,7872
Denominators are 484,4304
The GCF of 9134,7872 is 2 .
LCM of 484,4304 is 520784.
The greatest common factor of 9134/484,7872/4304 = [GCF of 9134,7872]/[LCM of 484,4304]= 2/520784
Therefore, the GCF of 9134/484,7872/4304 is 2/520784.
To find the highest common factor of 9134,7872, we have to find the factors of both numbers and list the highest common factor.
The factors of 9134 are 1, 2, 4567, 9134
The factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872
The HCF of 9134,7872 is 2.
Lets's calculate GCF of 9134,7872
| 2 | 9134, 7872 |
| 4567, 3936 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9134,7872 By Matching Biggest Common Factor Method
Now, list down the factors of 9134
:1,2,4567,9134
Now, list down the factors of 7872
:1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Greatest Common Factor
We found the factors 9134,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 9134,7872 is 2.
Lets's calculate LCM of 484,4304
| 2 | 484, 4304 |
| 2 | 242, 2152 |
| 121, 1076 |
∴ So the LCM of the given numbers is 2 x 2 x 121 x 1076 = 520784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/520784
Therefore, the GCF of Fractions 9134/484,7872/4304 is 2/520784
Least Common Multiple of 484,4304 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 484,4304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,4304) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(484,4304) x common factors =4 x 1 = 4
LCM(484,4304) = ( 484 × 4304 ) / 4
LCM(484,4304) = 2083136 / 4
LCM(484,4304) = 520784
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FAQs on GCF of Fractions of 9134/484, 7872/4304
1. What is the HCF of 9134,7872?
The HCF of 9134,7872 is 2
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 9134/484, 7872/4304?
Answer: GCF of Numerators as per given numbers 9134/484, 7872/4304 is
GCF of Numerators i.e. for 9134,7872 is 2
LCM of denominators i.e. for 484,4304 is 520784.
Thus, GCF of Fractions is 2/520784.Finally, GCF of Fractions for 9134/484, 7872/4304 is 2/520784.