GCF of 9604/857, 5124/5176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9604/857, 5124/5176 i.e 28/4435832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9604/857, 5124/5176.
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 9604/857,5124/5176?
Given fractions are 9604/857,5124/5176
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 9604/857,5124/5176, numerators are 9604,5124
Denominators are 857,5176
The GCF of 9604,5124 is 28 .
LCM of 857,5176 is 4435832.
The greatest common factor of 9604/857,5124/5176 = [GCF of 9604,5124]/[LCM of 857,5176]= 28/4435832
Therefore, the GCF of 9604/857,5124/5176 is 28/4435832.
To find the highest common factor of 9604,5124, we have to find the factors of both numbers and list the highest common factor.
The factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604
The factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124
The HCF of 9604,5124 is 28.
Lets's calculate GCF of 9604,5124
| 2 | 9604, 5124 |
| 2 | 4802, 2562 |
| 7 | 2401, 1281 |
| 343, 183 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 9604,5124 By Matching Biggest Common Factor Method
Now, list down the factors of 9604
:1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604
Now, list down the factors of 5124
:1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124
Greatest Common Factor
We found the factors 9604,5124 . The biggest common factor number is the GCF number.
So the greatest common factor 9604,5124 is 28.
Lets's calculate LCM of 857,5176
Given numbers has no common factors except 1. So, there LCM is their product i.e 4435832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/4435832
Therefore, the GCF of Fractions 9604/857,5124/5176 is 28/4435832
Least Common Multiple of 857,5176 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 857,5176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,5176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,5176) x common factors =1 x 1 = 1
LCM(857,5176) = ( 857 × 5176 ) / 1
LCM(857,5176) = 4435832 / 1
LCM(857,5176) = 4435832
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FAQs on GCF of Fractions of 9604/857, 5124/5176
1. What is the HCF of 9604,5124?
The HCF of 9604,5124 is 28
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 9604/857, 5124/5176?
Answer: GCF of Numerators as per given numbers 9604/857, 5124/5176 is
GCF of Numerators i.e. for 9604,5124 is 28
LCM of denominators i.e. for 857,5176 is 4435832.
Thus, GCF of Fractions is 28/4435832.Finally, GCF of Fractions for 9604/857, 5124/5176 is 28/4435832.