GCF of 1693/678, 6992/8454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1693/678, 6992/8454 i.e 1/955302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1693/678, 6992/8454.
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 1693/678,6992/8454?
Given fractions are 1693/678,6992/8454
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 1693/678,6992/8454, numerators are 1693,6992
Denominators are 678,8454
The GCF of 1693,6992 is 1 .
LCM of 678,8454 is 955302.
The greatest common factor of 1693/678,6992/8454 = [GCF of 1693,6992]/[LCM of 678,8454]= 1/955302
Therefore, the GCF of 1693/678,6992/8454 is 1/955302.
To find the highest common factor of 1693,6992, we have to find the factors of both numbers and list the highest common factor.
The factors of 1693 are 1, 1693
The factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992
The HCF of 1693,6992 is 1.
Lets's calculate GCF of 1693,6992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1693,6992 By Matching Biggest Common Factor Method
Now, list down the factors of 1693
:1,1693
Now, list down the factors of 6992
:1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992
Greatest Common Factor
We found the factors 1693,6992 . The biggest common factor number is the GCF number.
So the greatest common factor 1693,6992 is 1.
Lets's calculate LCM of 678,8454
| 2 | 678, 8454 |
| 3 | 339, 4227 |
| 113, 1409 |
∴ So the LCM of the given numbers is 2 x 3 x 113 x 1409 = 955302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/955302
Therefore, the GCF of Fractions 1693/678,6992/8454 is 1/955302
Least Common Multiple of 678,8454 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 678,8454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,8454) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(678,8454) x common factors =6 x 1 = 6
LCM(678,8454) = ( 678 × 8454 ) / 6
LCM(678,8454) = 5731812 / 6
LCM(678,8454) = 955302
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1693/678, 6992/8454
1. What is the HCF of 1693,6992?
The HCF of 1693,6992 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 1693/678, 6992/8454?
Answer: GCF of Numerators as per given numbers 1693/678, 6992/8454 is
GCF of Numerators i.e. for 1693,6992 is 1
LCM of denominators i.e. for 678,8454 is 955302.
Thus, GCF of Fractions is 1/955302.Finally, GCF of Fractions for 1693/678, 6992/8454 is 1/955302.