GCF of 5759/715, 1600/5740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5759/715, 1600/5740 i.e 1/820820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5759/715, 1600/5740.
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 5759/715,1600/5740?
Given fractions are 5759/715,1600/5740
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 5759/715,1600/5740, numerators are 5759,1600
Denominators are 715,5740
The GCF of 5759,1600 is 1 .
LCM of 715,5740 is 820820.
The greatest common factor of 5759/715,1600/5740 = [GCF of 5759,1600]/[LCM of 715,5740]= 1/820820
Therefore, the GCF of 5759/715,1600/5740 is 1/820820.
To find the highest common factor of 5759,1600, we have to find the factors of both numbers and list the highest common factor.
The factors of 5759 are 1, 13, 443, 5759
The factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600
The HCF of 5759,1600 is 1.
Lets's calculate GCF of 5759,1600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5759,1600 By Matching Biggest Common Factor Method
Now, list down the factors of 5759
:1,13,443,5759
Now, list down the factors of 1600
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600
Greatest Common Factor
We found the factors 5759,1600 . The biggest common factor number is the GCF number.
So the greatest common factor 5759,1600 is 1.
Lets's calculate LCM of 715,5740
| 5 | 715, 5740 |
| 143, 1148 |
∴ So the LCM of the given numbers is 5 x 143 x 1148 = 820820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/820820
Therefore, the GCF of Fractions 5759/715,1600/5740 is 1/820820
Least Common Multiple of 715,5740 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 715,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,5740) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,5740) x common factors =5 x 1 = 5
LCM(715,5740) = ( 715 × 5740 ) / 5
LCM(715,5740) = 4104100 / 5
LCM(715,5740) = 820820
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FAQs on GCF of Fractions of 5759/715, 1600/5740
1. What is the HCF of 5759,1600?
The HCF of 5759,1600 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 5759/715, 1600/5740?
Answer: GCF of Numerators as per given numbers 5759/715, 1600/5740 is
GCF of Numerators i.e. for 5759,1600 is 1
LCM of denominators i.e. for 715,5740 is 820820.
Thus, GCF of Fractions is 1/820820.Finally, GCF of Fractions for 5759/715, 1600/5740 is 1/820820.