GCF of 9558/507, 1000/1053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9558/507, 1000/1053 i.e 2/13689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9558/507, 1000/1053.
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 9558/507,1000/1053?
Given fractions are 9558/507,1000/1053
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 9558/507,1000/1053, numerators are 9558,1000
Denominators are 507,1053
The GCF of 9558,1000 is 2 .
LCM of 507,1053 is 13689.
The greatest common factor of 9558/507,1000/1053 = [GCF of 9558,1000]/[LCM of 507,1053]= 2/13689
Therefore, the GCF of 9558/507,1000/1053 is 2/13689.
To find the highest common factor of 9558,1000, 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 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
The HCF of 9558,1000 is 2.
Lets's calculate GCF of 9558,1000
| 2 | 9558, 1000 |
| 4779, 500 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9558,1000 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 1000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000
Greatest Common Factor
We found the factors 9558,1000 . The biggest common factor number is the GCF number.
So the greatest common factor 9558,1000 is 2.
Lets's calculate LCM of 507,1053
| 3 | 507, 1053 |
| 13 | 169, 351 |
| 13, 27 |
∴ So the LCM of the given numbers is 3 x 13 x 13 x 27 = 13689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13689
Therefore, the GCF of Fractions 9558/507,1000/1053 is 2/13689
Least Common Multiple of 507,1053 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 507,1053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,1053) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(507,1053) x common factors =39 x 1 = 39
LCM(507,1053) = ( 507 × 1053 ) / 39
LCM(507,1053) = 533871 / 39
LCM(507,1053) = 13689
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FAQs on GCF of Fractions of 9558/507, 1000/1053
1. What is the HCF of 9558,1000?
The HCF of 9558,1000 is 2
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 9558/507, 1000/1053?
Answer: GCF of Numerators as per given numbers 9558/507, 1000/1053 is
GCF of Numerators i.e. for 9558,1000 is 2
LCM of denominators i.e. for 507,1053 is 13689.
Thus, GCF of Fractions is 2/13689.Finally, GCF of Fractions for 9558/507, 1000/1053 is 2/13689.