GCF of 453/481, 2094/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/481, 2094/740 i.e 3/9620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/481, 2094/740.
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 453/481,2094/740?
Given fractions are 453/481,2094/740
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 453/481,2094/740, numerators are 453,2094
Denominators are 481,740
The GCF of 453,2094 is 3 .
LCM of 481,740 is 9620.
The greatest common factor of 453/481,2094/740 = [GCF of 453,2094]/[LCM of 481,740]= 3/9620
Therefore, the GCF of 453/481,2094/740 is 3/9620.
To find the highest common factor of 453,2094, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 2094 are 1, 2, 3, 6, 349, 698, 1047, 2094
The HCF of 453,2094 is 3.
Lets's calculate GCF of 453,2094
| 3 | 453, 2094 |
| 151, 698 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 453,2094 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 2094
:1,2,3,6,349,698,1047,2094
Greatest Common Factor
We found the factors 453,2094 . The biggest common factor number is the GCF number.
So the greatest common factor 453,2094 is 3.
Lets's calculate LCM of 481,740
| 37 | 481, 740 |
| 13, 20 |
∴ So the LCM of the given numbers is 37 x 13 x 20 = 9620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9620
Therefore, the GCF of Fractions 453/481,2094/740 is 3/9620
Least Common Multiple of 481,740 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 481,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,740) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(481,740) x common factors =37 x 1 = 37
LCM(481,740) = ( 481 × 740 ) / 37
LCM(481,740) = 355940 / 37
LCM(481,740) = 9620
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FAQs on GCF of Fractions of 453/481, 2094/740
1. What is the HCF of 453,2094?
The HCF of 453,2094 is 3
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 453/481, 2094/740?
Answer: GCF of Numerators as per given numbers 453/481, 2094/740 is
GCF of Numerators i.e. for 453,2094 is 3
LCM of denominators i.e. for 481,740 is 9620.
Thus, GCF of Fractions is 3/9620.Finally, GCF of Fractions for 453/481, 2094/740 is 3/9620.