GCF of 324/737, 8352/7549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/737, 8352/7549 i.e 36/5563613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/737, 8352/7549.
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 324/737,8352/7549?
Given fractions are 324/737,8352/7549
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 324/737,8352/7549, numerators are 324,8352
Denominators are 737,7549
The GCF of 324,8352 is 36 .
LCM of 737,7549 is 5563613.
The greatest common factor of 324/737,8352/7549 = [GCF of 324,8352]/[LCM of 737,7549]= 36/5563613
Therefore, the GCF of 324/737,8352/7549 is 36/5563613.
To find the highest common factor of 324,8352, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352
The HCF of 324,8352 is 36.
Lets's calculate GCF of 324,8352
| 2 | 324, 8352 |
| 2 | 162, 4176 |
| 3 | 81, 2088 |
| 3 | 27, 696 |
| 9, 232 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 324,8352 By Matching Biggest Common Factor Method
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 8352
:1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352
Greatest Common Factor
We found the factors 324,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 324,8352 is 36.
Lets's calculate LCM of 737,7549
Given numbers has no common factors except 1. So, there LCM is their product i.e 5563613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/5563613
Therefore, the GCF of Fractions 324/737,8352/7549 is 36/5563613
Least Common Multiple of 737,7549 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 737,7549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,7549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,7549) x common factors =1 x 1 = 1
LCM(737,7549) = ( 737 × 7549 ) / 1
LCM(737,7549) = 5563613 / 1
LCM(737,7549) = 5563613
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FAQs on GCF of Fractions of 324/737, 8352/7549
1. What is the HCF of 324,8352?
The HCF of 324,8352 is 36
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 324/737, 8352/7549?
Answer: GCF of Numerators as per given numbers 324/737, 8352/7549 is
GCF of Numerators i.e. for 324,8352 is 36
LCM of denominators i.e. for 737,7549 is 5563613.
Thus, GCF of Fractions is 36/5563613.Finally, GCF of Fractions for 324/737, 8352/7549 is 36/5563613.