GCF of 4324/507, 4232/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4324/507, 4232/219 i.e 92/37011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4324/507, 4232/219.
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 4324/507,4232/219?
Given fractions are 4324/507,4232/219
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 4324/507,4232/219, numerators are 4324,4232
Denominators are 507,219
The GCF of 4324,4232 is 92 .
LCM of 507,219 is 37011.
The greatest common factor of 4324/507,4232/219 = [GCF of 4324,4232]/[LCM of 507,219]= 92/37011
Therefore, the GCF of 4324/507,4232/219 is 92/37011.
To find the highest common factor of 4324,4232, we have to find the factors of both numbers and list the highest common factor.
The factors of 4324 are 1, 2, 4, 23, 46, 47, 92, 94, 188, 1081, 2162, 4324
The factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232
The HCF of 4324,4232 is 92.
Lets's calculate GCF of 4324,4232
| 2 | 4324, 4232 |
| 2 | 2162, 2116 |
| 23 | 1081, 1058 |
| 47, 46 |
∴ So the GCF of the given numbers is 2 x 2 x 23 = 92
Greatest Common Factor of 4324,4232 By Matching Biggest Common Factor Method
Now, list down the factors of 4324
:1,2,4,23,46,47,92,94,188,1081,2162,4324
Now, list down the factors of 4232
:1,2,4,8,23,46,92,184,529,1058,2116,4232
Greatest Common Factor
We found the factors 4324,4232 . The biggest common factor number is the GCF number.
So the greatest common factor 4324,4232 is 92.
Lets's calculate LCM of 507,219
| 3 | 507, 219 |
| 169, 73 |
∴ So the LCM of the given numbers is 3 x 169 x 73 = 37011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/37011
Therefore, the GCF of Fractions 4324/507,4232/219 is 92/37011
Least Common Multiple of 507,219 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 507,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,219) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,219) x common factors =3 x 1 = 3
LCM(507,219) = ( 507 × 219 ) / 3
LCM(507,219) = 111033 / 3
LCM(507,219) = 37011
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FAQs on GCF of Fractions of 4324/507, 4232/219
1. What is the HCF of 4324,4232?
The HCF of 4324,4232 is 92
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 4324/507, 4232/219?
Answer: GCF of Numerators as per given numbers 4324/507, 4232/219 is
GCF of Numerators i.e. for 4324,4232 is 92
LCM of denominators i.e. for 507,219 is 37011.
Thus, GCF of Fractions is 92/37011.Finally, GCF of Fractions for 4324/507, 4232/219 is 92/37011.