GCF of 9558/598, 9747/8408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9558/598, 9747/8408 i.e 27/2513992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9558/598, 9747/8408.
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 9558/598,9747/8408?
Given fractions are 9558/598,9747/8408
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 9558/598,9747/8408, numerators are 9558,9747
Denominators are 598,8408
The GCF of 9558,9747 is 27 .
LCM of 598,8408 is 2513992.
The greatest common factor of 9558/598,9747/8408 = [GCF of 9558,9747]/[LCM of 598,8408]= 27/2513992
Therefore, the GCF of 9558/598,9747/8408 is 27/2513992.
To find the highest common factor of 9558,9747, we have to find the factors of both numbers and list the highest common factor.
The factors of 9558 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 354, 531, 1062, 1593, 3186, 4779, 9558
The factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747
The HCF of 9558,9747 is 27.
Lets's calculate GCF of 9558,9747
| 3 | 9558, 9747 |
| 3 | 3186, 3249 |
| 3 | 1062, 1083 |
| 354, 361 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 9558,9747 By Matching Biggest Common Factor Method
Now, list down the factors of 9558
:1,2,3,6,9,18,27,54,59,81,118,162,177,354,531,1062,1593,3186,4779,9558
Now, list down the factors of 9747
:1,3,9,19,27,57,171,361,513,1083,3249,9747
Greatest Common Factor
We found the factors 9558,9747 . The biggest common factor number is the GCF number.
So the greatest common factor 9558,9747 is 27.
Lets's calculate LCM of 598,8408
| 2 | 598, 8408 |
| 299, 4204 |
∴ So the LCM of the given numbers is 2 x 299 x 4204 = 2513992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/2513992
Therefore, the GCF of Fractions 9558/598,9747/8408 is 27/2513992
Least Common Multiple of 598,8408 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 598,8408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,8408) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,8408) x common factors =2 x 1 = 2
LCM(598,8408) = ( 598 × 8408 ) / 2
LCM(598,8408) = 5027984 / 2
LCM(598,8408) = 2513992
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FAQs on GCF of Fractions of 9558/598, 9747/8408
1. What is the HCF of 9558,9747?
The HCF of 9558,9747 is 27
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 9558/598, 9747/8408?
Answer: GCF of Numerators as per given numbers 9558/598, 9747/8408 is
GCF of Numerators i.e. for 9558,9747 is 27
LCM of denominators i.e. for 598,8408 is 2513992.
Thus, GCF of Fractions is 27/2513992.Finally, GCF of Fractions for 9558/598, 9747/8408 is 27/2513992.