GCF of 667/906, 7569/1386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 667/906, 7569/1386 i.e 29/209286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 667/906, 7569/1386.
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 667/906,7569/1386?
Given fractions are 667/906,7569/1386
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 667/906,7569/1386, numerators are 667,7569
Denominators are 906,1386
The GCF of 667,7569 is 29 .
LCM of 906,1386 is 209286.
The greatest common factor of 667/906,7569/1386 = [GCF of 667,7569]/[LCM of 906,1386]= 29/209286
Therefore, the GCF of 667/906,7569/1386 is 29/209286.
To find the highest common factor of 667,7569, 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 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 667,7569 is 29.
Lets's calculate GCF of 667,7569
| 29 | 667, 7569 |
| 23, 261 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 667,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 667
:1,23,29,667
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 667,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 667,7569 is 29.
Lets's calculate LCM of 906,1386
| 2 | 906, 1386 |
| 3 | 453, 693 |
| 151, 231 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 231 = 209286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/209286
Therefore, the GCF of Fractions 667/906,7569/1386 is 29/209286
Least Common Multiple of 906,1386 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 906,1386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,1386) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(906,1386) x common factors =6 x 1 = 6
LCM(906,1386) = ( 906 × 1386 ) / 6
LCM(906,1386) = 1255716 / 6
LCM(906,1386) = 209286
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 667/906, 7569/1386
1. What is the HCF of 667,7569?
The HCF of 667,7569 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 667/906, 7569/1386?
Answer: GCF of Numerators as per given numbers 667/906, 7569/1386 is
GCF of Numerators i.e. for 667,7569 is 29
LCM of denominators i.e. for 906,1386 is 209286.
Thus, GCF of Fractions is 29/209286.Finally, GCF of Fractions for 667/906, 7569/1386 is 29/209286.