GCF of 9057/156, 9198/5593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9057/156, 9198/5593 i.e 3/872508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9057/156, 9198/5593.
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 9057/156,9198/5593?
Given fractions are 9057/156,9198/5593
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 9057/156,9198/5593, numerators are 9057,9198
Denominators are 156,5593
The GCF of 9057,9198 is 3 .
LCM of 156,5593 is 872508.
The greatest common factor of 9057/156,9198/5593 = [GCF of 9057,9198]/[LCM of 156,5593]= 3/872508
Therefore, the GCF of 9057/156,9198/5593 is 3/872508.
To find the highest common factor of 9057,9198, we have to find the factors of both numbers and list the highest common factor.
The factors of 9057 are 1, 3, 3019, 9057
The factors of 9198 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198
The HCF of 9057,9198 is 3.
Lets's calculate GCF of 9057,9198
| 3 | 9057, 9198 |
| 3019, 3066 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9057,9198 By Matching Biggest Common Factor Method
Now, list down the factors of 9057
:1,3,3019,9057
Now, list down the factors of 9198
:1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198
Greatest Common Factor
We found the factors 9057,9198 . The biggest common factor number is the GCF number.
So the greatest common factor 9057,9198 is 3.
Lets's calculate LCM of 156,5593
Given numbers has no common factors except 1. So, there LCM is their product i.e 872508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/872508
Therefore, the GCF of Fractions 9057/156,9198/5593 is 3/872508
Least Common Multiple of 156,5593 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 156,5593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,5593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(156,5593) x common factors =1 x 1 = 1
LCM(156,5593) = ( 156 × 5593 ) / 1
LCM(156,5593) = 872508 / 1
LCM(156,5593) = 872508
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FAQs on GCF of Fractions of 9057/156, 9198/5593
1. What is the HCF of 9057,9198?
The HCF of 9057,9198 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 9057/156, 9198/5593?
Answer: GCF of Numerators as per given numbers 9057/156, 9198/5593 is
GCF of Numerators i.e. for 9057,9198 is 3
LCM of denominators i.e. for 156,5593 is 872508.
Thus, GCF of Fractions is 3/872508.Finally, GCF of Fractions for 9057/156, 9198/5593 is 3/872508.