GCF of 693/29, 432/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 693/29, 432/857 i.e 9/24853 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/29, 432/857.
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 693/29,432/857?
Given fractions are 693/29,432/857
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 693/29,432/857, numerators are 693,432
Denominators are 29,857
The GCF of 693,432 is 9 .
LCM of 29,857 is 24853.
The greatest common factor of 693/29,432/857 = [GCF of 693,432]/[LCM of 29,857]= 9/24853
Therefore, the GCF of 693/29,432/857 is 9/24853.
To find the highest common factor of 693,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 693,432 is 9.
Lets's calculate GCF of 693,432
| 3 | 693, 432 |
| 3 | 231, 144 |
| 77, 48 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 693,432 By Matching Biggest Common Factor Method
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 693,432 . The biggest common factor number is the GCF number.
So the greatest common factor 693,432 is 9.
Lets's calculate LCM of 29,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 24853
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/24853
Therefore, the GCF of Fractions 693/29,432/857 is 9/24853
Least Common Multiple of 29,857 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 29,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,857) x common factors =1 x 1 = 1
LCM(29,857) = ( 29 × 857 ) / 1
LCM(29,857) = 24853 / 1
LCM(29,857) = 24853
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 693/29, 432/857
1. What is the HCF of 693,432?
The HCF of 693,432 is 9
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 693/29, 432/857?
Answer: GCF of Numerators as per given numbers 693/29, 432/857 is
GCF of Numerators i.e. for 693,432 is 9
LCM of denominators i.e. for 29,857 is 24853.
Thus, GCF of Fractions is 9/24853.Finally, GCF of Fractions for 693/29, 432/857 is 9/24853.