GCF of 9848/603, 2174/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9848/603, 2174/189 i.e 2/12663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9848/603, 2174/189.
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 9848/603,2174/189?
Given fractions are 9848/603,2174/189
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 9848/603,2174/189, numerators are 9848,2174
Denominators are 603,189
The GCF of 9848,2174 is 2 .
LCM of 603,189 is 12663.
The greatest common factor of 9848/603,2174/189 = [GCF of 9848,2174]/[LCM of 603,189]= 2/12663
Therefore, the GCF of 9848/603,2174/189 is 2/12663.
To find the highest common factor of 9848,2174, we have to find the factors of both numbers and list the highest common factor.
The factors of 9848 are 1, 2, 4, 8, 1231, 2462, 4924, 9848
The factors of 2174 are 1, 2, 1087, 2174
The HCF of 9848,2174 is 2.
Lets's calculate GCF of 9848,2174
| 2 | 9848, 2174 |
| 4924, 1087 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9848,2174 By Matching Biggest Common Factor Method
Now, list down the factors of 9848
:1,2,4,8,1231,2462,4924,9848
Now, list down the factors of 2174
:1,2,1087,2174
Greatest Common Factor
We found the factors 9848,2174 . The biggest common factor number is the GCF number.
So the greatest common factor 9848,2174 is 2.
Lets's calculate LCM of 603,189
| 3 | 603, 189 |
| 3 | 201, 63 |
| 67, 21 |
∴ So the LCM of the given numbers is 3 x 3 x 67 x 21 = 12663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12663
Therefore, the GCF of Fractions 9848/603,2174/189 is 2/12663
Least Common Multiple of 603,189 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 603,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,189) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(603,189) x common factors =9 x 1 = 9
LCM(603,189) = ( 603 × 189 ) / 9
LCM(603,189) = 113967 / 9
LCM(603,189) = 12663
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FAQs on GCF of Fractions of 9848/603, 2174/189
1. What is the HCF of 9848,2174?
The HCF of 9848,2174 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 9848/603, 2174/189?
Answer: GCF of Numerators as per given numbers 9848/603, 2174/189 is
GCF of Numerators i.e. for 9848,2174 is 2
LCM of denominators i.e. for 603,189 is 12663.
Thus, GCF of Fractions is 2/12663.Finally, GCF of Fractions for 9848/603, 2174/189 is 2/12663.