GCF of 6698/475, 1945/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6698/475, 1945/741 i.e 1/18525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6698/475, 1945/741.
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 6698/475,1945/741?
Given fractions are 6698/475,1945/741
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 6698/475,1945/741, numerators are 6698,1945
Denominators are 475,741
The GCF of 6698,1945 is 1 .
LCM of 475,741 is 18525.
The greatest common factor of 6698/475,1945/741 = [GCF of 6698,1945]/[LCM of 475,741]= 1/18525
Therefore, the GCF of 6698/475,1945/741 is 1/18525.
To find the highest common factor of 6698,1945, we have to find the factors of both numbers and list the highest common factor.
The factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698
The factors of 1945 are 1, 5, 389, 1945
The HCF of 6698,1945 is 1.
Lets's calculate GCF of 6698,1945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6698,1945 By Matching Biggest Common Factor Method
Now, list down the factors of 6698
:1,2,17,34,197,394,3349,6698
Now, list down the factors of 1945
:1,5,389,1945
Greatest Common Factor
We found the factors 6698,1945 . The biggest common factor number is the GCF number.
So the greatest common factor 6698,1945 is 1.
Lets's calculate LCM of 475,741
| 19 | 475, 741 |
| 25, 39 |
∴ So the LCM of the given numbers is 19 x 25 x 39 = 18525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18525
Therefore, the GCF of Fractions 6698/475,1945/741 is 1/18525
Least Common Multiple of 475,741 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 475,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,741) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(475,741) x common factors =19 x 1 = 19
LCM(475,741) = ( 475 × 741 ) / 19
LCM(475,741) = 351975 / 19
LCM(475,741) = 18525
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6698/475, 1945/741
1. What is the HCF of 6698,1945?
The HCF of 6698,1945 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 6698/475, 1945/741?
Answer: GCF of Numerators as per given numbers 6698/475, 1945/741 is
GCF of Numerators i.e. for 6698,1945 is 1
LCM of denominators i.e. for 475,741 is 18525.
Thus, GCF of Fractions is 1/18525.Finally, GCF of Fractions for 6698/475, 1945/741 is 1/18525.