GCF of 5370/200, 2547/9923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5370/200, 2547/9923 i.e 3/1984600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5370/200, 2547/9923.
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 5370/200,2547/9923?
Given fractions are 5370/200,2547/9923
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 5370/200,2547/9923, numerators are 5370,2547
Denominators are 200,9923
The GCF of 5370,2547 is 3 .
LCM of 200,9923 is 1984600.
The greatest common factor of 5370/200,2547/9923 = [GCF of 5370,2547]/[LCM of 200,9923]= 3/1984600
Therefore, the GCF of 5370/200,2547/9923 is 3/1984600.
To find the highest common factor of 5370,2547, we have to find the factors of both numbers and list the highest common factor.
The factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370
The factors of 2547 are 1, 3, 9, 283, 849, 2547
The HCF of 5370,2547 is 3.
Lets's calculate GCF of 5370,2547
| 3 | 5370, 2547 |
| 1790, 849 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5370,2547 By Matching Biggest Common Factor Method
Now, list down the factors of 5370
:1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370
Now, list down the factors of 2547
:1,3,9,283,849,2547
Greatest Common Factor
We found the factors 5370,2547 . The biggest common factor number is the GCF number.
So the greatest common factor 5370,2547 is 3.
Lets's calculate LCM of 200,9923
Given numbers has no common factors except 1. So, there LCM is their product i.e 1984600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1984600
Therefore, the GCF of Fractions 5370/200,2547/9923 is 3/1984600
Least Common Multiple of 200,9923 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 200,9923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,9923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,9923) x common factors =1 x 1 = 1
LCM(200,9923) = ( 200 × 9923 ) / 1
LCM(200,9923) = 1984600 / 1
LCM(200,9923) = 1984600
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FAQs on GCF of Fractions of 5370/200, 2547/9923
1. What is the HCF of 5370,2547?
The HCF of 5370,2547 is 3
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 5370/200, 2547/9923?
Answer: GCF of Numerators as per given numbers 5370/200, 2547/9923 is
GCF of Numerators i.e. for 5370,2547 is 3
LCM of denominators i.e. for 200,9923 is 1984600.
Thus, GCF of Fractions is 3/1984600.Finally, GCF of Fractions for 5370/200, 2547/9923 is 3/1984600.