GCF of 453/58, 470/434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/58, 470/434 i.e 1/12586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/58, 470/434.
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 453/58,470/434?
Given fractions are 453/58,470/434
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 453/58,470/434, numerators are 453,470
Denominators are 58,434
The GCF of 453,470 is 1 .
LCM of 58,434 is 12586.
The greatest common factor of 453/58,470/434 = [GCF of 453,470]/[LCM of 58,434]= 1/12586
Therefore, the GCF of 453/58,470/434 is 1/12586.
To find the highest common factor of 453,470, 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 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 453,470 is 1.
Lets's calculate GCF of 453,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 453,470 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 453,470 . The biggest common factor number is the GCF number.
So the greatest common factor 453,470 is 1.
Lets's calculate LCM of 58,434
| 2 | 58, 434 |
| 29, 217 |
∴ So the LCM of the given numbers is 2 x 29 x 217 = 12586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12586
Therefore, the GCF of Fractions 453/58,470/434 is 1/12586
Least Common Multiple of 58,434 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 58,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,434) x common factors =2 x 1 = 2
LCM(58,434) = ( 58 × 434 ) / 2
LCM(58,434) = 25172 / 2
LCM(58,434) = 12586
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FAQs on GCF of Fractions of 453/58, 470/434
1. What is the HCF of 453,470?
The HCF of 453,470 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 453/58, 470/434?
Answer: GCF of Numerators as per given numbers 453/58, 470/434 is
GCF of Numerators i.e. for 453,470 is 1
LCM of denominators i.e. for 58,434 is 12586.
Thus, GCF of Fractions is 1/12586.Finally, GCF of Fractions for 453/58, 470/434 is 1/12586.