GCF of 436/319, 450/977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 436/319, 450/977 i.e 2/311663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 436/319, 450/977.
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 436/319,450/977?
Given fractions are 436/319,450/977
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 436/319,450/977, numerators are 436,450
Denominators are 319,977
The GCF of 436,450 is 2 .
LCM of 319,977 is 311663.
The greatest common factor of 436/319,450/977 = [GCF of 436,450]/[LCM of 319,977]= 2/311663
Therefore, the GCF of 436/319,450/977 is 2/311663.
To find the highest common factor of 436,450, we have to find the factors of both numbers and list the highest common factor.
The factors of 436 are 1, 2, 4, 109, 218, 436
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The HCF of 436,450 is 2.
Lets's calculate GCF of 436,450
| 2 | 436, 450 |
| 218, 225 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 436,450 By Matching Biggest Common Factor Method
Now, list down the factors of 436
:1,2,4,109,218,436
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 436,450 . The biggest common factor number is the GCF number.
So the greatest common factor 436,450 is 2.
Lets's calculate LCM of 319,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 311663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311663
Therefore, the GCF of Fractions 436/319,450/977 is 2/311663
Least Common Multiple of 319,977 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 319,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,977) x common factors =1 x 1 = 1
LCM(319,977) = ( 319 × 977 ) / 1
LCM(319,977) = 311663 / 1
LCM(319,977) = 311663
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FAQs on GCF of Fractions of 436/319, 450/977
1. What is the HCF of 436,450?
The HCF of 436,450 is 2
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 436/319, 450/977?
Answer: GCF of Numerators as per given numbers 436/319, 450/977 is
GCF of Numerators i.e. for 436,450 is 2
LCM of denominators i.e. for 319,977 is 311663.
Thus, GCF of Fractions is 2/311663.Finally, GCF of Fractions for 436/319, 450/977 is 2/311663.