GCF of 449/942, 452/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 449/942, 452/922 i.e 1/434262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/942, 452/922.
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 449/942,452/922?
Given fractions are 449/942,452/922
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 449/942,452/922, numerators are 449,452
Denominators are 942,922
The GCF of 449,452 is 1 .
LCM of 942,922 is 434262.
The greatest common factor of 449/942,452/922 = [GCF of 449,452]/[LCM of 942,922]= 1/434262
Therefore, the GCF of 449/942,452/922 is 1/434262.
To find the highest common factor of 449,452, 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 452 are 1, 2, 4, 113, 226, 452
The HCF of 449,452 is 1.
Lets's calculate GCF of 449,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 449,452 By Matching Biggest Common Factor Method
Now, list down the factors of 449
:1,449
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 449,452 . The biggest common factor number is the GCF number.
So the greatest common factor 449,452 is 1.
Lets's calculate LCM of 942,922
| 2 | 942, 922 |
| 471, 461 |
∴ So the LCM of the given numbers is 2 x 471 x 461 = 434262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/434262
Therefore, the GCF of Fractions 449/942,452/922 is 1/434262
Least Common Multiple of 942,922 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 942,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,922) x common factors =2 x 1 = 2
LCM(942,922) = ( 942 × 922 ) / 2
LCM(942,922) = 868524 / 2
LCM(942,922) = 434262
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FAQs on GCF of Fractions of 449/942, 452/922
1. What is the HCF of 449,452?
The HCF of 449,452 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 449/942, 452/922?
Answer: GCF of Numerators as per given numbers 449/942, 452/922 is
GCF of Numerators i.e. for 449,452 is 1
LCM of denominators i.e. for 942,922 is 434262.
Thus, GCF of Fractions is 1/434262.Finally, GCF of Fractions for 449/942, 452/922 is 1/434262.