GCF of 3737/285, 1414/3529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3737/285, 1414/3529 i.e 101/1005765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3737/285, 1414/3529.
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 3737/285,1414/3529?
Given fractions are 3737/285,1414/3529
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 3737/285,1414/3529, numerators are 3737,1414
Denominators are 285,3529
The GCF of 3737,1414 is 101 .
LCM of 285,3529 is 1005765.
The greatest common factor of 3737/285,1414/3529 = [GCF of 3737,1414]/[LCM of 285,3529]= 101/1005765
Therefore, the GCF of 3737/285,1414/3529 is 101/1005765.
To find the highest common factor of 3737,1414, we have to find the factors of both numbers and list the highest common factor.
The factors of 3737 are 1, 37, 101, 3737
The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414
The HCF of 3737,1414 is 101.
Lets's calculate GCF of 3737,1414
| 101 | 3737, 1414 |
| 37, 14 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 3737,1414 By Matching Biggest Common Factor Method
Now, list down the factors of 3737
:1,37,101,3737
Now, list down the factors of 1414
:1,2,7,14,101,202,707,1414
Greatest Common Factor
We found the factors 3737,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 3737,1414 is 101.
Lets's calculate LCM of 285,3529
Given numbers has no common factors except 1. So, there LCM is their product i.e 1005765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/1005765
Therefore, the GCF of Fractions 3737/285,1414/3529 is 101/1005765
Least Common Multiple of 285,3529 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 285,3529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,3529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,3529) x common factors =1 x 1 = 1
LCM(285,3529) = ( 285 × 3529 ) / 1
LCM(285,3529) = 1005765 / 1
LCM(285,3529) = 1005765
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FAQs on GCF of Fractions of 3737/285, 1414/3529
1. What is the HCF of 3737,1414?
The HCF of 3737,1414 is 101
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 3737/285, 1414/3529?
Answer: GCF of Numerators as per given numbers 3737/285, 1414/3529 is
GCF of Numerators i.e. for 3737,1414 is 101
LCM of denominators i.e. for 285,3529 is 1005765.
Thus, GCF of Fractions is 101/1005765.Finally, GCF of Fractions for 3737/285, 1414/3529 is 101/1005765.