GCF of 449/186, 623/788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 449/186, 623/788 i.e 1/73284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/186, 623/788.
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 449/186,623/788?
Given fractions are 449/186,623/788
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 449/186,623/788, numerators are 449,623
Denominators are 186,788
The GCF of 449,623 is 1 .
LCM of 186,788 is 73284.
The greatest common factor of 449/186,623/788 = [GCF of 449,623]/[LCM of 186,788]= 1/73284
Therefore, the GCF of 449/186,623/788 is 1/73284.
To find the highest common factor of 449,623, we have to find the factors of both numbers and list the highest common factor.
The factors of 449 are 1, 449
The factors of 623 are 1, 7, 89, 623
The HCF of 449,623 is 1.
Lets's calculate GCF of 449,623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 449,623 By Matching Biggest Common Factor Method
Now, list down the factors of 449
:1,449
Now, list down the factors of 623
:1,7,89,623
Greatest Common Factor
We found the factors 449,623 . The biggest common factor number is the GCF number.
So the greatest common factor 449,623 is 1.
Lets's calculate LCM of 186,788
| 2 | 186, 788 |
| 93, 394 |
∴ So the LCM of the given numbers is 2 x 93 x 394 = 73284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73284
Therefore, the GCF of Fractions 449/186,623/788 is 1/73284
Least Common Multiple of 186,788 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 186,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,788) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,788) x common factors =2 x 1 = 2
LCM(186,788) = ( 186 × 788 ) / 2
LCM(186,788) = 146568 / 2
LCM(186,788) = 73284
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FAQs on GCF of Fractions of 449/186, 623/788
1. What is the HCF of 449,623?
The HCF of 449,623 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 449/186, 623/788?
Answer: GCF of Numerators as per given numbers 449/186, 623/788 is
GCF of Numerators i.e. for 449,623 is 1
LCM of denominators i.e. for 186,788 is 73284.
Thus, GCF of Fractions is 1/73284.Finally, GCF of Fractions for 449/186, 623/788 is 1/73284.