GCF of 9504/344, 1172/4098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9504/344, 1172/4098 i.e 4/704856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9504/344, 1172/4098.
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 9504/344,1172/4098?
Given fractions are 9504/344,1172/4098
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 9504/344,1172/4098, numerators are 9504,1172
Denominators are 344,4098
The GCF of 9504,1172 is 4 .
LCM of 344,4098 is 704856.
The greatest common factor of 9504/344,1172/4098 = [GCF of 9504,1172]/[LCM of 344,4098]= 4/704856
Therefore, the GCF of 9504/344,1172/4098 is 4/704856.
To find the highest common factor of 9504,1172, we have to find the factors of both numbers and list the highest common factor.
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
The factors of 1172 are 1, 2, 4, 293, 586, 1172
The HCF of 9504,1172 is 4.
Lets's calculate GCF of 9504,1172
| 2 | 9504, 1172 |
| 2 | 4752, 586 |
| 2376, 293 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9504,1172 By Matching Biggest Common Factor Method
Now, list down the factors of 9504
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504
Now, list down the factors of 1172
:1,2,4,293,586,1172
Greatest Common Factor
We found the factors 9504,1172 . The biggest common factor number is the GCF number.
So the greatest common factor 9504,1172 is 4.
Lets's calculate LCM of 344,4098
| 2 | 344, 4098 |
| 172, 2049 |
∴ So the LCM of the given numbers is 2 x 172 x 2049 = 704856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/704856
Therefore, the GCF of Fractions 9504/344,1172/4098 is 4/704856
Least Common Multiple of 344,4098 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 344,4098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,4098) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(344,4098) x common factors =2 x 1 = 2
LCM(344,4098) = ( 344 × 4098 ) / 2
LCM(344,4098) = 1409712 / 2
LCM(344,4098) = 704856
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FAQs on GCF of Fractions of 9504/344, 1172/4098
1. What is the HCF of 9504,1172?
The HCF of 9504,1172 is 4
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 9504/344, 1172/4098?
Answer: GCF of Numerators as per given numbers 9504/344, 1172/4098 is
GCF of Numerators i.e. for 9504,1172 is 4
LCM of denominators i.e. for 344,4098 is 704856.
Thus, GCF of Fractions is 4/704856.Finally, GCF of Fractions for 9504/344, 1172/4098 is 4/704856.