GCF of 4472/189, 4557/7248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4472/189, 4557/7248 i.e 1/456624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4472/189, 4557/7248.
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 4472/189,4557/7248?
Given fractions are 4472/189,4557/7248
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 4472/189,4557/7248, numerators are 4472,4557
Denominators are 189,7248
The GCF of 4472,4557 is 1 .
LCM of 189,7248 is 456624.
The greatest common factor of 4472/189,4557/7248 = [GCF of 4472,4557]/[LCM of 189,7248]= 1/456624
Therefore, the GCF of 4472/189,4557/7248 is 1/456624.
To find the highest common factor of 4472,4557, we have to find the factors of both numbers and list the highest common factor.
The factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472
The factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557
The HCF of 4472,4557 is 1.
Lets's calculate GCF of 4472,4557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4472,4557 By Matching Biggest Common Factor Method
Now, list down the factors of 4472
:1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472
Now, list down the factors of 4557
:1,3,7,21,31,49,93,147,217,651,1519,4557
Greatest Common Factor
We found the factors 4472,4557 . The biggest common factor number is the GCF number.
So the greatest common factor 4472,4557 is 1.
Lets's calculate LCM of 189,7248
| 3 | 189, 7248 |
| 63, 2416 |
∴ So the LCM of the given numbers is 3 x 63 x 2416 = 456624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/456624
Therefore, the GCF of Fractions 4472/189,4557/7248 is 1/456624
Least Common Multiple of 189,7248 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 189,7248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,7248) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(189,7248) x common factors =3 x 1 = 3
LCM(189,7248) = ( 189 × 7248 ) / 3
LCM(189,7248) = 1369872 / 3
LCM(189,7248) = 456624
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FAQs on GCF of Fractions of 4472/189, 4557/7248
1. What is the HCF of 4472,4557?
The HCF of 4472,4557 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 4472/189, 4557/7248?
Answer: GCF of Numerators as per given numbers 4472/189, 4557/7248 is
GCF of Numerators i.e. for 4472,4557 is 1
LCM of denominators i.e. for 189,7248 is 456624.
Thus, GCF of Fractions is 1/456624.Finally, GCF of Fractions for 4472/189, 4557/7248 is 1/456624.