GCF of 3704/203, 8058/6945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3704/203, 8058/6945 i.e 2/1409835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3704/203, 8058/6945.
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 3704/203,8058/6945?
Given fractions are 3704/203,8058/6945
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 3704/203,8058/6945, numerators are 3704,8058
Denominators are 203,6945
The GCF of 3704,8058 is 2 .
LCM of 203,6945 is 1409835.
The greatest common factor of 3704/203,8058/6945 = [GCF of 3704,8058]/[LCM of 203,6945]= 2/1409835
Therefore, the GCF of 3704/203,8058/6945 is 2/1409835.
To find the highest common factor of 3704,8058, we have to find the factors of both numbers and list the highest common factor.
The factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704
The factors of 8058 are 1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058
The HCF of 3704,8058 is 2.
Lets's calculate GCF of 3704,8058
| 2 | 3704, 8058 |
| 1852, 4029 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3704,8058 By Matching Biggest Common Factor Method
Now, list down the factors of 3704
:1,2,4,8,463,926,1852,3704
Now, list down the factors of 8058
:1,2,3,6,17,34,51,79,102,158,237,474,1343,2686,4029,8058
Greatest Common Factor
We found the factors 3704,8058 . The biggest common factor number is the GCF number.
So the greatest common factor 3704,8058 is 2.
Lets's calculate LCM of 203,6945
Given numbers has no common factors except 1. So, there LCM is their product i.e 1409835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1409835
Therefore, the GCF of Fractions 3704/203,8058/6945 is 2/1409835
Least Common Multiple of 203,6945 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 203,6945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,6945) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,6945) x common factors =1 x 1 = 1
LCM(203,6945) = ( 203 × 6945 ) / 1
LCM(203,6945) = 1409835 / 1
LCM(203,6945) = 1409835
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3704/203, 8058/6945
1. What is the HCF of 3704,8058?
The HCF of 3704,8058 is 2
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 3704/203, 8058/6945?
Answer: GCF of Numerators as per given numbers 3704/203, 8058/6945 is
GCF of Numerators i.e. for 3704,8058 is 2
LCM of denominators i.e. for 203,6945 is 1409835.
Thus, GCF of Fractions is 2/1409835.Finally, GCF of Fractions for 3704/203, 8058/6945 is 2/1409835.