GCF of 430/93, 402/531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/93, 402/531 i.e 2/16461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/93, 402/531.
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 430/93,402/531?
Given fractions are 430/93,402/531
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 430/93,402/531, numerators are 430,402
Denominators are 93,531
The GCF of 430,402 is 2 .
LCM of 93,531 is 16461.
The greatest common factor of 430/93,402/531 = [GCF of 430,402]/[LCM of 93,531]= 2/16461
Therefore, the GCF of 430/93,402/531 is 2/16461.
To find the highest common factor of 430,402, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
The HCF of 430,402 is 2.
Lets's calculate GCF of 430,402
| 2 | 430, 402 |
| 215, 201 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 430,402 By Matching Biggest Common Factor Method
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 430,402 . The biggest common factor number is the GCF number.
So the greatest common factor 430,402 is 2.
Lets's calculate LCM of 93,531
| 3 | 93, 531 |
| 31, 177 |
∴ So the LCM of the given numbers is 3 x 31 x 177 = 16461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16461
Therefore, the GCF of Fractions 430/93,402/531 is 2/16461
Least Common Multiple of 93,531 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 93,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,531) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,531) x common factors =3 x 1 = 3
LCM(93,531) = ( 93 × 531 ) / 3
LCM(93,531) = 49383 / 3
LCM(93,531) = 16461
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 430/93, 402/531
1. What is the HCF of 430,402?
The HCF of 430,402 is 2
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 430/93, 402/531?
Answer: GCF of Numerators as per given numbers 430/93, 402/531 is
GCF of Numerators i.e. for 430,402 is 2
LCM of denominators i.e. for 93,531 is 16461.
Thus, GCF of Fractions is 2/16461.Finally, GCF of Fractions for 430/93, 402/531 is 2/16461.