GCF of 5835/449, 1670/1638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5835/449, 1670/1638 i.e 5/735462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5835/449, 1670/1638.
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 5835/449,1670/1638?
Given fractions are 5835/449,1670/1638
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 5835/449,1670/1638, numerators are 5835,1670
Denominators are 449,1638
The GCF of 5835,1670 is 5 .
LCM of 449,1638 is 735462.
The greatest common factor of 5835/449,1670/1638 = [GCF of 5835,1670]/[LCM of 449,1638]= 5/735462
Therefore, the GCF of 5835/449,1670/1638 is 5/735462.
To find the highest common factor of 5835,1670, we have to find the factors of both numbers and list the highest common factor.
The factors of 5835 are 1, 3, 5, 15, 389, 1167, 1945, 5835
The factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670
The HCF of 5835,1670 is 5.
Lets's calculate GCF of 5835,1670
| 5 | 5835, 1670 |
| 1167, 334 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5835,1670 By Matching Biggest Common Factor Method
Now, list down the factors of 5835
:1,3,5,15,389,1167,1945,5835
Now, list down the factors of 1670
:1,2,5,10,167,334,835,1670
Greatest Common Factor
We found the factors 5835,1670 . The biggest common factor number is the GCF number.
So the greatest common factor 5835,1670 is 5.
Lets's calculate LCM of 449,1638
Given numbers has no common factors except 1. So, there LCM is their product i.e 735462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/735462
Therefore, the GCF of Fractions 5835/449,1670/1638 is 5/735462
Least Common Multiple of 449,1638 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 449,1638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,1638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,1638) x common factors =1 x 1 = 1
LCM(449,1638) = ( 449 × 1638 ) / 1
LCM(449,1638) = 735462 / 1
LCM(449,1638) = 735462
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FAQs on GCF of Fractions of 5835/449, 1670/1638
1. What is the HCF of 5835,1670?
The HCF of 5835,1670 is 5
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 5835/449, 1670/1638?
Answer: GCF of Numerators as per given numbers 5835/449, 1670/1638 is
GCF of Numerators i.e. for 5835,1670 is 5
LCM of denominators i.e. for 449,1638 is 735462.
Thus, GCF of Fractions is 5/735462.Finally, GCF of Fractions for 5835/449, 1670/1638 is 5/735462.