GCF of 6331/423, 4870/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6331/423, 4870/746 i.e 487/315558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6331/423, 4870/746.
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 6331/423,4870/746?
Given fractions are 6331/423,4870/746
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 6331/423,4870/746, numerators are 6331,4870
Denominators are 423,746
The GCF of 6331,4870 is 487 .
LCM of 423,746 is 315558.
The greatest common factor of 6331/423,4870/746 = [GCF of 6331,4870]/[LCM of 423,746]= 487/315558
Therefore, the GCF of 6331/423,4870/746 is 487/315558.
To find the highest common factor of 6331,4870, we have to find the factors of both numbers and list the highest common factor.
The factors of 6331 are 1, 13, 487, 6331
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The HCF of 6331,4870 is 487.
Lets's calculate GCF of 6331,4870
| 487 | 6331, 4870 |
| 13, 10 |
∴ So the GCF of the given numbers is 487 = 487
Greatest Common Factor of 6331,4870 By Matching Biggest Common Factor Method
Now, list down the factors of 6331
:1,13,487,6331
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Greatest Common Factor
We found the factors 6331,4870 . The biggest common factor number is the GCF number.
So the greatest common factor 6331,4870 is 487.
Lets's calculate LCM of 423,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 315558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 487/315558
Therefore, the GCF of Fractions 6331/423,4870/746 is 487/315558
Least Common Multiple of 423,746 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 423,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(423,746) x common factors =1 x 1 = 1
LCM(423,746) = ( 423 × 746 ) / 1
LCM(423,746) = 315558 / 1
LCM(423,746) = 315558
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FAQs on GCF of Fractions of 6331/423, 4870/746
1. What is the HCF of 6331,4870?
The HCF of 6331,4870 is 487
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 6331/423, 4870/746?
Answer: GCF of Numerators as per given numbers 6331/423, 4870/746 is
GCF of Numerators i.e. for 6331,4870 is 487
LCM of denominators i.e. for 423,746 is 315558.
Thus, GCF of Fractions is 487/315558.Finally, GCF of Fractions for 6331/423, 4870/746 is 487/315558.