GCF of 473/77, 430/297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 473/77, 430/297 i.e 43/2079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 473/77, 430/297.
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 473/77,430/297?
Given fractions are 473/77,430/297
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 473/77,430/297, numerators are 473,430
Denominators are 77,297
The GCF of 473,430 is 43 .
LCM of 77,297 is 2079.
The greatest common factor of 473/77,430/297 = [GCF of 473,430]/[LCM of 77,297]= 43/2079
Therefore, the GCF of 473/77,430/297 is 43/2079.
To find the highest common factor of 473,430, we have to find the factors of both numbers and list the highest common factor.
The factors of 473 are 1, 11, 43, 473
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 473,430 is 43.
Lets's calculate GCF of 473,430
| 43 | 473, 430 |
| 11, 10 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 473,430 By Matching Biggest Common Factor Method
Now, list down the factors of 473
:1,11,43,473
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 473,430 . The biggest common factor number is the GCF number.
So the greatest common factor 473,430 is 43.
Lets's calculate LCM of 77,297
| 11 | 77, 297 |
| 7, 27 |
∴ So the LCM of the given numbers is 11 x 7 x 27 = 2079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/2079
Therefore, the GCF of Fractions 473/77,430/297 is 43/2079
Least Common Multiple of 77,297 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 77,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,297) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(77,297) x common factors =11 x 1 = 11
LCM(77,297) = ( 77 × 297 ) / 11
LCM(77,297) = 22869 / 11
LCM(77,297) = 2079
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FAQs on GCF of Fractions of 473/77, 430/297
1. What is the HCF of 473,430?
The HCF of 473,430 is 43
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 473/77, 430/297?
Answer: GCF of Numerators as per given numbers 473/77, 430/297 is
GCF of Numerators i.e. for 473,430 is 43
LCM of denominators i.e. for 77,297 is 2079.
Thus, GCF of Fractions is 43/2079.Finally, GCF of Fractions for 473/77, 430/297 is 43/2079.