GCF of 3703/646, 3482/626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3703/646, 3482/626 i.e 1/202198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3703/646, 3482/626.
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 3703/646,3482/626?
Given fractions are 3703/646,3482/626
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 3703/646,3482/626, numerators are 3703,3482
Denominators are 646,626
The GCF of 3703,3482 is 1 .
LCM of 646,626 is 202198.
The greatest common factor of 3703/646,3482/626 = [GCF of 3703,3482]/[LCM of 646,626]= 1/202198
Therefore, the GCF of 3703/646,3482/626 is 1/202198.
To find the highest common factor of 3703,3482, we have to find the factors of both numbers and list the highest common factor.
The factors of 3703 are 1, 7, 23, 161, 529, 3703
The factors of 3482 are 1, 2, 1741, 3482
The HCF of 3703,3482 is 1.
Lets's calculate GCF of 3703,3482
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3703,3482 By Matching Biggest Common Factor Method
Now, list down the factors of 3703
:1,7,23,161,529,3703
Now, list down the factors of 3482
:1,2,1741,3482
Greatest Common Factor
We found the factors 3703,3482 . The biggest common factor number is the GCF number.
So the greatest common factor 3703,3482 is 1.
Lets's calculate LCM of 646,626
| 2 | 646, 626 |
| 323, 313 |
∴ So the LCM of the given numbers is 2 x 323 x 313 = 202198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202198
Therefore, the GCF of Fractions 3703/646,3482/626 is 1/202198
Least Common Multiple of 646,626 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 646,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,626) x common factors =2 x 1 = 2
LCM(646,626) = ( 646 × 626 ) / 2
LCM(646,626) = 404396 / 2
LCM(646,626) = 202198
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3703/646, 3482/626
1. What is the HCF of 3703,3482?
The HCF of 3703,3482 is 1
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 3703/646, 3482/626?
Answer: GCF of Numerators as per given numbers 3703/646, 3482/626 is
GCF of Numerators i.e. for 3703,3482 is 1
LCM of denominators i.e. for 646,626 is 202198.
Thus, GCF of Fractions is 1/202198.Finally, GCF of Fractions for 3703/646, 3482/626 is 1/202198.