GCF of 5745/350, 1674/7133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5745/350, 1674/7133 i.e 3/356650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5745/350, 1674/7133.
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 5745/350,1674/7133?
Given fractions are 5745/350,1674/7133
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 5745/350,1674/7133, numerators are 5745,1674
Denominators are 350,7133
The GCF of 5745,1674 is 3 .
LCM of 350,7133 is 356650.
The greatest common factor of 5745/350,1674/7133 = [GCF of 5745,1674]/[LCM of 350,7133]= 3/356650
Therefore, the GCF of 5745/350,1674/7133 is 3/356650.
To find the highest common factor of 5745,1674, we have to find the factors of both numbers and list the highest common factor.
The factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745
The factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
The HCF of 5745,1674 is 3.
Lets's calculate GCF of 5745,1674
| 3 | 5745, 1674 |
| 1915, 558 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5745,1674 By Matching Biggest Common Factor Method
Now, list down the factors of 5745
:1,3,5,15,383,1149,1915,5745
Now, list down the factors of 1674
:1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674
Greatest Common Factor
We found the factors 5745,1674 . The biggest common factor number is the GCF number.
So the greatest common factor 5745,1674 is 3.
Lets's calculate LCM of 350,7133
| 7 | 350, 7133 |
| 50, 1019 |
∴ So the LCM of the given numbers is 7 x 50 x 1019 = 356650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/356650
Therefore, the GCF of Fractions 5745/350,1674/7133 is 3/356650
Least Common Multiple of 350,7133 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 350,7133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,7133) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(350,7133) x common factors =7 x 1 = 7
LCM(350,7133) = ( 350 × 7133 ) / 7
LCM(350,7133) = 2496550 / 7
LCM(350,7133) = 356650
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FAQs on GCF of Fractions of 5745/350, 1674/7133
1. What is the HCF of 5745,1674?
The HCF of 5745,1674 is 3
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 5745/350, 1674/7133?
Answer: GCF of Numerators as per given numbers 5745/350, 1674/7133 is
GCF of Numerators i.e. for 5745,1674 is 3
LCM of denominators i.e. for 350,7133 is 356650.
Thus, GCF of Fractions is 3/356650.Finally, GCF of Fractions for 5745/350, 1674/7133 is 3/356650.