GCF of 3564/497, 2803/1917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3564/497, 2803/1917 i.e 1/13419 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3564/497, 2803/1917.
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 3564/497,2803/1917?
Given fractions are 3564/497,2803/1917
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 3564/497,2803/1917, numerators are 3564,2803
Denominators are 497,1917
The GCF of 3564,2803 is 1 .
LCM of 497,1917 is 13419.
The greatest common factor of 3564/497,2803/1917 = [GCF of 3564,2803]/[LCM of 497,1917]= 1/13419
Therefore, the GCF of 3564/497,2803/1917 is 1/13419.
To find the highest common factor of 3564,2803, we have to find the factors of both numbers and list the highest common factor.
The factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564
The factors of 2803 are 1, 2803
The HCF of 3564,2803 is 1.
Lets's calculate GCF of 3564,2803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3564,2803 By Matching Biggest Common Factor Method
Now, list down the factors of 3564
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564
Now, list down the factors of 2803
:1,2803
Greatest Common Factor
We found the factors 3564,2803 . The biggest common factor number is the GCF number.
So the greatest common factor 3564,2803 is 1.
Lets's calculate LCM of 497,1917
| 71 | 497, 1917 |
| 7, 27 |
∴ So the LCM of the given numbers is 71 x 7 x 27 = 13419
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13419
Therefore, the GCF of Fractions 3564/497,2803/1917 is 1/13419
Least Common Multiple of 497,1917 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 497,1917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,1917) = 71
common factors(in case of two or more numbers have common factors) = 1
GCF(497,1917) x common factors =71 x 1 = 71
LCM(497,1917) = ( 497 × 1917 ) / 71
LCM(497,1917) = 952749 / 71
LCM(497,1917) = 13419
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3564/497, 2803/1917
1. What is the HCF of 3564,2803?
The HCF of 3564,2803 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 3564/497, 2803/1917?
Answer: GCF of Numerators as per given numbers 3564/497, 2803/1917 is
GCF of Numerators i.e. for 3564,2803 is 1
LCM of denominators i.e. for 497,1917 is 13419.
Thus, GCF of Fractions is 1/13419.Finally, GCF of Fractions for 3564/497, 2803/1917 is 1/13419.