GCF of 4232/974, 4223/225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4232/974, 4223/225 i.e 1/219150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4232/974, 4223/225.
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 4232/974,4223/225?
Given fractions are 4232/974,4223/225
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 4232/974,4223/225, numerators are 4232,4223
Denominators are 974,225
The GCF of 4232,4223 is 1 .
LCM of 974,225 is 219150.
The greatest common factor of 4232/974,4223/225 = [GCF of 4232,4223]/[LCM of 974,225]= 1/219150
Therefore, the GCF of 4232/974,4223/225 is 1/219150.
To find the highest common factor of 4232,4223, we have to find the factors of both numbers and list the highest common factor.
The factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232
The factors of 4223 are 1, 41, 103, 4223
The HCF of 4232,4223 is 1.
Lets's calculate GCF of 4232,4223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4232,4223 By Matching Biggest Common Factor Method
Now, list down the factors of 4232
:1,2,4,8,23,46,92,184,529,1058,2116,4232
Now, list down the factors of 4223
:1,41,103,4223
Greatest Common Factor
We found the factors 4232,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 4232,4223 is 1.
Lets's calculate LCM of 974,225
Given numbers has no common factors except 1. So, there LCM is their product i.e 219150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219150
Therefore, the GCF of Fractions 4232/974,4223/225 is 1/219150
Least Common Multiple of 974,225 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 974,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,225) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,225) x common factors =1 x 1 = 1
LCM(974,225) = ( 974 × 225 ) / 1
LCM(974,225) = 219150 / 1
LCM(974,225) = 219150
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FAQs on GCF of Fractions of 4232/974, 4223/225
1. What is the HCF of 4232,4223?
The HCF of 4232,4223 is 1
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 4232/974, 4223/225?
Answer: GCF of Numerators as per given numbers 4232/974, 4223/225 is
GCF of Numerators i.e. for 4232,4223 is 1
LCM of denominators i.e. for 974,225 is 219150.
Thus, GCF of Fractions is 1/219150.Finally, GCF of Fractions for 4232/974, 4223/225 is 1/219150.