GCF of 4349/750, 3846/5668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4349/750, 3846/5668 i.e 1/2125500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4349/750, 3846/5668.
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 4349/750,3846/5668?
Given fractions are 4349/750,3846/5668
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 4349/750,3846/5668, numerators are 4349,3846
Denominators are 750,5668
The GCF of 4349,3846 is 1 .
LCM of 750,5668 is 2125500.
The greatest common factor of 4349/750,3846/5668 = [GCF of 4349,3846]/[LCM of 750,5668]= 1/2125500
Therefore, the GCF of 4349/750,3846/5668 is 1/2125500.
To find the highest common factor of 4349,3846, we have to find the factors of both numbers and list the highest common factor.
The factors of 4349 are 1, 4349
The factors of 3846 are 1, 2, 3, 6, 641, 1282, 1923, 3846
The HCF of 4349,3846 is 1.
Lets's calculate GCF of 4349,3846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4349,3846 By Matching Biggest Common Factor Method
Now, list down the factors of 4349
:1,4349
Now, list down the factors of 3846
:1,2,3,6,641,1282,1923,3846
Greatest Common Factor
We found the factors 4349,3846 . The biggest common factor number is the GCF number.
So the greatest common factor 4349,3846 is 1.
Lets's calculate LCM of 750,5668
| 2 | 750, 5668 |
| 375, 2834 |
∴ So the LCM of the given numbers is 2 x 375 x 2834 = 2125500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2125500
Therefore, the GCF of Fractions 4349/750,3846/5668 is 1/2125500
Least Common Multiple of 750,5668 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 750,5668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,5668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,5668) x common factors =2 x 1 = 2
LCM(750,5668) = ( 750 × 5668 ) / 2
LCM(750,5668) = 4251000 / 2
LCM(750,5668) = 2125500
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FAQs on GCF of Fractions of 4349/750, 3846/5668
1. What is the HCF of 4349,3846?
The HCF of 4349,3846 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 4349/750, 3846/5668?
Answer: GCF of Numerators as per given numbers 4349/750, 3846/5668 is
GCF of Numerators i.e. for 4349,3846 is 1
LCM of denominators i.e. for 750,5668 is 2125500.
Thus, GCF of Fractions is 1/2125500.Finally, GCF of Fractions for 4349/750, 3846/5668 is 1/2125500.