GCF of 450/464, 1765/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 450/464, 1765/317 i.e 5/147088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 450/464, 1765/317.
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 450/464,1765/317?
Given fractions are 450/464,1765/317
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 450/464,1765/317, numerators are 450,1765
Denominators are 464,317
The GCF of 450,1765 is 5 .
LCM of 464,317 is 147088.
The greatest common factor of 450/464,1765/317 = [GCF of 450,1765]/[LCM of 464,317]= 5/147088
Therefore, the GCF of 450/464,1765/317 is 5/147088.
To find the highest common factor of 450,1765, we have to find the factors of both numbers and list the highest common factor.
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The factors of 1765 are 1, 5, 353, 1765
The HCF of 450,1765 is 5.
Lets's calculate GCF of 450,1765
| 5 | 450, 1765 |
| 90, 353 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 450,1765 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1765
:1,5,353,1765
Greatest Common Factor
We found the factors 450,1765 . The biggest common factor number is the GCF number.
So the greatest common factor 450,1765 is 5.
Lets's calculate LCM of 464,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 147088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/147088
Therefore, the GCF of Fractions 450/464,1765/317 is 5/147088
Least Common Multiple of 464,317 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 464,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,317) x common factors =1 x 1 = 1
LCM(464,317) = ( 464 × 317 ) / 1
LCM(464,317) = 147088 / 1
LCM(464,317) = 147088
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FAQs on GCF of Fractions of 450/464, 1765/317
1. What is the HCF of 450,1765?
The HCF of 450,1765 is 5
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 450/464, 1765/317?
Answer: GCF of Numerators as per given numbers 450/464, 1765/317 is
GCF of Numerators i.e. for 450,1765 is 5
LCM of denominators i.e. for 464,317 is 147088.
Thus, GCF of Fractions is 5/147088.Finally, GCF of Fractions for 450/464, 1765/317 is 5/147088.