GCF of 1743/803, 3901/3843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1743/803, 3901/3843 i.e 83/3085929 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1743/803, 3901/3843.
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 1743/803,3901/3843?
Given fractions are 1743/803,3901/3843
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 1743/803,3901/3843, numerators are 1743,3901
Denominators are 803,3843
The GCF of 1743,3901 is 83 .
LCM of 803,3843 is 3085929.
The greatest common factor of 1743/803,3901/3843 = [GCF of 1743,3901]/[LCM of 803,3843]= 83/3085929
Therefore, the GCF of 1743/803,3901/3843 is 83/3085929.
To find the highest common factor of 1743,3901, we have to find the factors of both numbers and list the highest common factor.
The factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743
The factors of 3901 are 1, 47, 83, 3901
The HCF of 1743,3901 is 83.
Lets's calculate GCF of 1743,3901
| 83 | 1743, 3901 |
| 21, 47 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 1743,3901 By Matching Biggest Common Factor Method
Now, list down the factors of 1743
:1,3,7,21,83,249,581,1743
Now, list down the factors of 3901
:1,47,83,3901
Greatest Common Factor
We found the factors 1743,3901 . The biggest common factor number is the GCF number.
So the greatest common factor 1743,3901 is 83.
Lets's calculate LCM of 803,3843
Given numbers has no common factors except 1. So, there LCM is their product i.e 3085929
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/3085929
Therefore, the GCF of Fractions 1743/803,3901/3843 is 83/3085929
Least Common Multiple of 803,3843 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 803,3843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,3843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,3843) x common factors =1 x 1 = 1
LCM(803,3843) = ( 803 × 3843 ) / 1
LCM(803,3843) = 3085929 / 1
LCM(803,3843) = 3085929
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FAQs on GCF of Fractions of 1743/803, 3901/3843
1. What is the HCF of 1743,3901?
The HCF of 1743,3901 is 83
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 1743/803, 3901/3843?
Answer: GCF of Numerators as per given numbers 1743/803, 3901/3843 is
GCF of Numerators i.e. for 1743,3901 is 83
LCM of denominators i.e. for 803,3843 is 3085929.
Thus, GCF of Fractions is 83/3085929.Finally, GCF of Fractions for 1743/803, 3901/3843 is 83/3085929.