GCF of 9304/641, 8784/8547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9304/641, 8784/8547 i.e 8/5478627 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9304/641, 8784/8547.
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 9304/641,8784/8547?
Given fractions are 9304/641,8784/8547
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 9304/641,8784/8547, numerators are 9304,8784
Denominators are 641,8547
The GCF of 9304,8784 is 8 .
LCM of 641,8547 is 5478627.
The greatest common factor of 9304/641,8784/8547 = [GCF of 9304,8784]/[LCM of 641,8547]= 8/5478627
Therefore, the GCF of 9304/641,8784/8547 is 8/5478627.
To find the highest common factor of 9304,8784, we have to find the factors of both numbers and list the highest common factor.
The factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304
The factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784
The HCF of 9304,8784 is 8.
Lets's calculate GCF of 9304,8784
| 2 | 9304, 8784 |
| 2 | 4652, 4392 |
| 2 | 2326, 2196 |
| 1163, 1098 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9304,8784 By Matching Biggest Common Factor Method
Now, list down the factors of 9304
:1,2,4,8,1163,2326,4652,9304
Now, list down the factors of 8784
:1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784
Greatest Common Factor
We found the factors 9304,8784 . The biggest common factor number is the GCF number.
So the greatest common factor 9304,8784 is 8.
Lets's calculate LCM of 641,8547
Given numbers has no common factors except 1. So, there LCM is their product i.e 5478627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5478627
Therefore, the GCF of Fractions 9304/641,8784/8547 is 8/5478627
Least Common Multiple of 641,8547 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 641,8547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,8547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,8547) x common factors =1 x 1 = 1
LCM(641,8547) = ( 641 × 8547 ) / 1
LCM(641,8547) = 5478627 / 1
LCM(641,8547) = 5478627
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FAQs on GCF of Fractions of 9304/641, 8784/8547
1. What is the HCF of 9304,8784?
The HCF of 9304,8784 is 8
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 9304/641, 8784/8547?
Answer: GCF of Numerators as per given numbers 9304/641, 8784/8547 is
GCF of Numerators i.e. for 9304,8784 is 8
LCM of denominators i.e. for 641,8547 is 5478627.
Thus, GCF of Fractions is 8/5478627.Finally, GCF of Fractions for 9304/641, 8784/8547 is 8/5478627.