GCF of 3523/757, 5694/2509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3523/757, 5694/2509 i.e 13/1899313 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3523/757, 5694/2509.
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 3523/757,5694/2509?
Given fractions are 3523/757,5694/2509
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 3523/757,5694/2509, numerators are 3523,5694
Denominators are 757,2509
The GCF of 3523,5694 is 13 .
LCM of 757,2509 is 1899313.
The greatest common factor of 3523/757,5694/2509 = [GCF of 3523,5694]/[LCM of 757,2509]= 13/1899313
Therefore, the GCF of 3523/757,5694/2509 is 13/1899313.
To find the highest common factor of 3523,5694, we have to find the factors of both numbers and list the highest common factor.
The factors of 3523 are 1, 13, 271, 3523
The factors of 5694 are 1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694
The HCF of 3523,5694 is 13.
Lets's calculate GCF of 3523,5694
| 13 | 3523, 5694 |
| 271, 438 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3523,5694 By Matching Biggest Common Factor Method
Now, list down the factors of 3523
:1,13,271,3523
Now, list down the factors of 5694
:1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694
Greatest Common Factor
We found the factors 3523,5694 . The biggest common factor number is the GCF number.
So the greatest common factor 3523,5694 is 13.
Lets's calculate LCM of 757,2509
Given numbers has no common factors except 1. So, there LCM is their product i.e 1899313
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1899313
Therefore, the GCF of Fractions 3523/757,5694/2509 is 13/1899313
Least Common Multiple of 757,2509 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 757,2509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,2509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,2509) x common factors =1 x 1 = 1
LCM(757,2509) = ( 757 × 2509 ) / 1
LCM(757,2509) = 1899313 / 1
LCM(757,2509) = 1899313
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FAQs on GCF of Fractions of 3523/757, 5694/2509
1. What is the HCF of 3523,5694?
The HCF of 3523,5694 is 13
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 3523/757, 5694/2509?
Answer: GCF of Numerators as per given numbers 3523/757, 5694/2509 is
GCF of Numerators i.e. for 3523,5694 is 13
LCM of denominators i.e. for 757,2509 is 1899313.
Thus, GCF of Fractions is 13/1899313.Finally, GCF of Fractions for 3523/757, 5694/2509 is 13/1899313.