GCF of 2321/497, 8869/5642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2321/497, 8869/5642 i.e 1/400582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2321/497, 8869/5642.
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 2321/497,8869/5642?
Given fractions are 2321/497,8869/5642
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 2321/497,8869/5642, numerators are 2321,8869
Denominators are 497,5642
The GCF of 2321,8869 is 1 .
LCM of 497,5642 is 400582.
The greatest common factor of 2321/497,8869/5642 = [GCF of 2321,8869]/[LCM of 497,5642]= 1/400582
Therefore, the GCF of 2321/497,8869/5642 is 1/400582.
To find the highest common factor of 2321,8869, we have to find the factors of both numbers and list the highest common factor.
The factors of 2321 are 1, 11, 211, 2321
The factors of 8869 are 1, 7, 49, 181, 1267, 8869
The HCF of 2321,8869 is 1.
Lets's calculate GCF of 2321,8869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2321,8869 By Matching Biggest Common Factor Method
Now, list down the factors of 2321
:1,11,211,2321
Now, list down the factors of 8869
:1,7,49,181,1267,8869
Greatest Common Factor
We found the factors 2321,8869 . The biggest common factor number is the GCF number.
So the greatest common factor 2321,8869 is 1.
Lets's calculate LCM of 497,5642
| 7 | 497, 5642 |
| 71, 806 |
∴ So the LCM of the given numbers is 7 x 71 x 806 = 400582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400582
Therefore, the GCF of Fractions 2321/497,8869/5642 is 1/400582
Least Common Multiple of 497,5642 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 497,5642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,5642) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(497,5642) x common factors =7 x 1 = 7
LCM(497,5642) = ( 497 × 5642 ) / 7
LCM(497,5642) = 2804074 / 7
LCM(497,5642) = 400582
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2321/497, 8869/5642
1. What is the HCF of 2321,8869?
The HCF of 2321,8869 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 2321/497, 8869/5642?
Answer: GCF of Numerators as per given numbers 2321/497, 8869/5642 is
GCF of Numerators i.e. for 2321,8869 is 1
LCM of denominators i.e. for 497,5642 is 400582.
Thus, GCF of Fractions is 1/400582.Finally, GCF of Fractions for 2321/497, 8869/5642 is 1/400582.