GCF of 9874/423, 4036/5190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9874/423, 4036/5190 i.e 2/731790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9874/423, 4036/5190.
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 9874/423,4036/5190?
Given fractions are 9874/423,4036/5190
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 9874/423,4036/5190, numerators are 9874,4036
Denominators are 423,5190
The GCF of 9874,4036 is 2 .
LCM of 423,5190 is 731790.
The greatest common factor of 9874/423,4036/5190 = [GCF of 9874,4036]/[LCM of 423,5190]= 2/731790
Therefore, the GCF of 9874/423,4036/5190 is 2/731790.
To find the highest common factor of 9874,4036, we have to find the factors of both numbers and list the highest common factor.
The factors of 9874 are 1, 2, 4937, 9874
The factors of 4036 are 1, 2, 4, 1009, 2018, 4036
The HCF of 9874,4036 is 2.
Lets's calculate GCF of 9874,4036
| 2 | 9874, 4036 |
| 4937, 2018 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9874,4036 By Matching Biggest Common Factor Method
Now, list down the factors of 9874
:1,2,4937,9874
Now, list down the factors of 4036
:1,2,4,1009,2018,4036
Greatest Common Factor
We found the factors 9874,4036 . The biggest common factor number is the GCF number.
So the greatest common factor 9874,4036 is 2.
Lets's calculate LCM of 423,5190
| 3 | 423, 5190 |
| 141, 1730 |
∴ So the LCM of the given numbers is 3 x 141 x 1730 = 731790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/731790
Therefore, the GCF of Fractions 9874/423,4036/5190 is 2/731790
Least Common Multiple of 423,5190 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 423,5190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,5190) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(423,5190) x common factors =3 x 1 = 3
LCM(423,5190) = ( 423 × 5190 ) / 3
LCM(423,5190) = 2195370 / 3
LCM(423,5190) = 731790
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FAQs on GCF of Fractions of 9874/423, 4036/5190
1. What is the HCF of 9874,4036?
The HCF of 9874,4036 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 9874/423, 4036/5190?
Answer: GCF of Numerators as per given numbers 9874/423, 4036/5190 is
GCF of Numerators i.e. for 9874,4036 is 2
LCM of denominators i.e. for 423,5190 is 731790.
Thus, GCF of Fractions is 2/731790.Finally, GCF of Fractions for 9874/423, 4036/5190 is 2/731790.