GCF of 8531/641, 5491/633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8531/641, 5491/633 i.e 19/405753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8531/641, 5491/633.
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 8531/641,5491/633?
Given fractions are 8531/641,5491/633
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 8531/641,5491/633, numerators are 8531,5491
Denominators are 641,633
The GCF of 8531,5491 is 19 .
LCM of 641,633 is 405753.
The greatest common factor of 8531/641,5491/633 = [GCF of 8531,5491]/[LCM of 641,633]= 19/405753
Therefore, the GCF of 8531/641,5491/633 is 19/405753.
To find the highest common factor of 8531,5491, we have to find the factors of both numbers and list the highest common factor.
The factors of 8531 are 1, 19, 449, 8531
The factors of 5491 are 1, 17, 19, 289, 323, 5491
The HCF of 8531,5491 is 19.
Lets's calculate GCF of 8531,5491
| 19 | 8531, 5491 |
| 449, 289 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8531,5491 By Matching Biggest Common Factor Method
Now, list down the factors of 8531
:1,19,449,8531
Now, list down the factors of 5491
:1,17,19,289,323,5491
Greatest Common Factor
We found the factors 8531,5491 . The biggest common factor number is the GCF number.
So the greatest common factor 8531,5491 is 19.
Lets's calculate LCM of 641,633
Given numbers has no common factors except 1. So, there LCM is their product i.e 405753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/405753
Therefore, the GCF of Fractions 8531/641,5491/633 is 19/405753
Least Common Multiple of 641,633 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 641,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,633) x common factors =1 x 1 = 1
LCM(641,633) = ( 641 × 633 ) / 1
LCM(641,633) = 405753 / 1
LCM(641,633) = 405753
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8531/641, 5491/633
1. What is the HCF of 8531,5491?
The HCF of 8531,5491 is 19
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 8531/641, 5491/633?
Answer: GCF of Numerators as per given numbers 8531/641, 5491/633 is
GCF of Numerators i.e. for 8531,5491 is 19
LCM of denominators i.e. for 641,633 is 405753.
Thus, GCF of Fractions is 19/405753.Finally, GCF of Fractions for 8531/641, 5491/633 is 19/405753.