GCF of 2113/435, 5737/4656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2113/435, 5737/4656 i.e 1/675120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2113/435, 5737/4656.
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 2113/435,5737/4656?
Given fractions are 2113/435,5737/4656
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 2113/435,5737/4656, numerators are 2113,5737
Denominators are 435,4656
The GCF of 2113,5737 is 1 .
LCM of 435,4656 is 675120.
The greatest common factor of 2113/435,5737/4656 = [GCF of 2113,5737]/[LCM of 435,4656]= 1/675120
Therefore, the GCF of 2113/435,5737/4656 is 1/675120.
To find the highest common factor of 2113,5737, we have to find the factors of both numbers and list the highest common factor.
The factors of 2113 are 1, 2113
The factors of 5737 are 1, 5737
The HCF of 2113,5737 is 1.
Lets's calculate GCF of 2113,5737
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2113,5737 By Matching Biggest Common Factor Method
Now, list down the factors of 2113
:1,2113
Now, list down the factors of 5737
:1,5737
Greatest Common Factor
We found the factors 2113,5737 . The biggest common factor number is the GCF number.
So the greatest common factor 2113,5737 is 1.
Lets's calculate LCM of 435,4656
| 3 | 435, 4656 |
| 145, 1552 |
∴ So the LCM of the given numbers is 3 x 145 x 1552 = 675120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675120
Therefore, the GCF of Fractions 2113/435,5737/4656 is 1/675120
Least Common Multiple of 435,4656 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 435,4656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,4656) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(435,4656) x common factors =3 x 1 = 3
LCM(435,4656) = ( 435 × 4656 ) / 3
LCM(435,4656) = 2025360 / 3
LCM(435,4656) = 675120
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FAQs on GCF of Fractions of 2113/435, 5737/4656
1. What is the HCF of 2113,5737?
The HCF of 2113,5737 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 2113/435, 5737/4656?
Answer: GCF of Numerators as per given numbers 2113/435, 5737/4656 is
GCF of Numerators i.e. for 2113,5737 is 1
LCM of denominators i.e. for 435,4656 is 675120.
Thus, GCF of Fractions is 1/675120.Finally, GCF of Fractions for 2113/435, 5737/4656 is 1/675120.