GCF of 430/861, 631/261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/861, 631/261 i.e 1/74907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/861, 631/261.
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 430/861,631/261?
Given fractions are 430/861,631/261
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 430/861,631/261, numerators are 430,631
Denominators are 861,261
The GCF of 430,631 is 1 .
LCM of 861,261 is 74907.
The greatest common factor of 430/861,631/261 = [GCF of 430,631]/[LCM of 861,261]= 1/74907
Therefore, the GCF of 430/861,631/261 is 1/74907.
To find the highest common factor of 430,631, 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 631 are 1, 631
The HCF of 430,631 is 1.
Lets's calculate GCF of 430,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 430,631 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 631
:1,631
Greatest Common Factor
We found the factors 430,631 . The biggest common factor number is the GCF number.
So the greatest common factor 430,631 is 1.
Lets's calculate LCM of 861,261
| 3 | 861, 261 |
| 287, 87 |
∴ So the LCM of the given numbers is 3 x 287 x 87 = 74907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74907
Therefore, the GCF of Fractions 430/861,631/261 is 1/74907
Least Common Multiple of 861,261 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 861,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,261) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,261) x common factors =3 x 1 = 3
LCM(861,261) = ( 861 × 261 ) / 3
LCM(861,261) = 224721 / 3
LCM(861,261) = 74907
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FAQs on GCF of Fractions of 430/861, 631/261
1. What is the HCF of 430,631?
The HCF of 430,631 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 430/861, 631/261?
Answer: GCF of Numerators as per given numbers 430/861, 631/261 is
GCF of Numerators i.e. for 430,631 is 1
LCM of denominators i.e. for 861,261 is 74907.
Thus, GCF of Fractions is 1/74907.Finally, GCF of Fractions for 430/861, 631/261 is 1/74907.