GCF of 9744/613, 4528/4457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9744/613, 4528/4457 i.e 16/2732141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9744/613, 4528/4457.
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 9744/613,4528/4457?
Given fractions are 9744/613,4528/4457
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 9744/613,4528/4457, numerators are 9744,4528
Denominators are 613,4457
The GCF of 9744,4528 is 16 .
LCM of 613,4457 is 2732141.
The greatest common factor of 9744/613,4528/4457 = [GCF of 9744,4528]/[LCM of 613,4457]= 16/2732141
Therefore, the GCF of 9744/613,4528/4457 is 16/2732141.
To find the highest common factor of 9744,4528, we have to find the factors of both numbers and list the highest common factor.
The factors of 9744 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744
The factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528
The HCF of 9744,4528 is 16.
Lets's calculate GCF of 9744,4528
| 2 | 9744, 4528 |
| 2 | 4872, 2264 |
| 2 | 2436, 1132 |
| 2 | 1218, 566 |
| 609, 283 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9744,4528 By Matching Biggest Common Factor Method
Now, list down the factors of 9744
:1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744
Now, list down the factors of 4528
:1,2,4,8,16,283,566,1132,2264,4528
Greatest Common Factor
We found the factors 9744,4528 . The biggest common factor number is the GCF number.
So the greatest common factor 9744,4528 is 16.
Lets's calculate LCM of 613,4457
Given numbers has no common factors except 1. So, there LCM is their product i.e 2732141
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2732141
Therefore, the GCF of Fractions 9744/613,4528/4457 is 16/2732141
Least Common Multiple of 613,4457 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 613,4457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,4457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,4457) x common factors =1 x 1 = 1
LCM(613,4457) = ( 613 × 4457 ) / 1
LCM(613,4457) = 2732141 / 1
LCM(613,4457) = 2732141
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FAQs on GCF of Fractions of 9744/613, 4528/4457
1. What is the HCF of 9744,4528?
The HCF of 9744,4528 is 16
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 9744/613, 4528/4457?
Answer: GCF of Numerators as per given numbers 9744/613, 4528/4457 is
GCF of Numerators i.e. for 9744,4528 is 16
LCM of denominators i.e. for 613,4457 is 2732141.
Thus, GCF of Fractions is 16/2732141.Finally, GCF of Fractions for 9744/613, 4528/4457 is 16/2732141.