GCF of 437/920, 3783/810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 437/920, 3783/810 i.e 1/74520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/920, 3783/810.
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 437/920,3783/810?
Given fractions are 437/920,3783/810
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 437/920,3783/810, numerators are 437,3783
Denominators are 920,810
The GCF of 437,3783 is 1 .
LCM of 920,810 is 74520.
The greatest common factor of 437/920,3783/810 = [GCF of 437,3783]/[LCM of 920,810]= 1/74520
Therefore, the GCF of 437/920,3783/810 is 1/74520.
To find the highest common factor of 437,3783, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783
The HCF of 437,3783 is 1.
Lets's calculate GCF of 437,3783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 437,3783 By Matching Biggest Common Factor Method
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 3783
:1,3,13,39,97,291,1261,3783
Greatest Common Factor
We found the factors 437,3783 . The biggest common factor number is the GCF number.
So the greatest common factor 437,3783 is 1.
Lets's calculate LCM of 920,810
| 2 | 920, 810 |
| 5 | 460, 405 |
| 92, 81 |
∴ So the LCM of the given numbers is 2 x 5 x 92 x 81 = 74520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74520
Therefore, the GCF of Fractions 437/920,3783/810 is 1/74520
Least Common Multiple of 920,810 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 920,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,810) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(920,810) x common factors =10 x 1 = 10
LCM(920,810) = ( 920 × 810 ) / 10
LCM(920,810) = 745200 / 10
LCM(920,810) = 74520
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FAQs on GCF of Fractions of 437/920, 3783/810
1. What is the HCF of 437,3783?
The HCF of 437,3783 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 437/920, 3783/810?
Answer: GCF of Numerators as per given numbers 437/920, 3783/810 is
GCF of Numerators i.e. for 437,3783 is 1
LCM of denominators i.e. for 920,810 is 74520.
Thus, GCF of Fractions is 1/74520.Finally, GCF of Fractions for 437/920, 3783/810 is 1/74520.