GCF of 667/743, 696/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 667/743, 696/675 i.e 29/501525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 667/743, 696/675.
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 667/743,696/675?
Given fractions are 667/743,696/675
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 667/743,696/675, numerators are 667,696
Denominators are 743,675
The GCF of 667,696 is 29 .
LCM of 743,675 is 501525.
The greatest common factor of 667/743,696/675 = [GCF of 667,696]/[LCM of 743,675]= 29/501525
Therefore, the GCF of 667/743,696/675 is 29/501525.
To find the highest common factor of 667,696, we have to find the factors of both numbers and list the highest common factor.
The factors of 667 are 1, 23, 29, 667
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The HCF of 667,696 is 29.
Lets's calculate GCF of 667,696
| 29 | 667, 696 |
| 23, 24 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 667,696 By Matching Biggest Common Factor Method
Now, list down the factors of 667
:1,23,29,667
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 667,696 . The biggest common factor number is the GCF number.
So the greatest common factor 667,696 is 29.
Lets's calculate LCM of 743,675
Given numbers has no common factors except 1. So, there LCM is their product i.e 501525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/501525
Therefore, the GCF of Fractions 667/743,696/675 is 29/501525
Least Common Multiple of 743,675 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 743,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,675) x common factors =1 x 1 = 1
LCM(743,675) = ( 743 × 675 ) / 1
LCM(743,675) = 501525 / 1
LCM(743,675) = 501525
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 667/743, 696/675
1. What is the HCF of 667,696?
The HCF of 667,696 is 29
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 667/743, 696/675?
Answer: GCF of Numerators as per given numbers 667/743, 696/675 is
GCF of Numerators i.e. for 667,696 is 29
LCM of denominators i.e. for 743,675 is 501525.
Thus, GCF of Fractions is 29/501525.Finally, GCF of Fractions for 667/743, 696/675 is 29/501525.