GCF of 4053/698, 1827/4296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4053/698, 1827/4296 i.e 21/1499304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4053/698, 1827/4296.
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 4053/698,1827/4296?
Given fractions are 4053/698,1827/4296
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 4053/698,1827/4296, numerators are 4053,1827
Denominators are 698,4296
The GCF of 4053,1827 is 21 .
LCM of 698,4296 is 1499304.
The greatest common factor of 4053/698,1827/4296 = [GCF of 4053,1827]/[LCM of 698,4296]= 21/1499304
Therefore, the GCF of 4053/698,1827/4296 is 21/1499304.
To find the highest common factor of 4053,1827, we have to find the factors of both numbers and list the highest common factor.
The factors of 4053 are 1, 3, 7, 21, 193, 579, 1351, 4053
The factors of 1827 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827
The HCF of 4053,1827 is 21.
Lets's calculate GCF of 4053,1827
| 3 | 4053, 1827 |
| 7 | 1351, 609 |
| 193, 87 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 4053,1827 By Matching Biggest Common Factor Method
Now, list down the factors of 4053
:1,3,7,21,193,579,1351,4053
Now, list down the factors of 1827
:1,3,7,9,21,29,63,87,203,261,609,1827
Greatest Common Factor
We found the factors 4053,1827 . The biggest common factor number is the GCF number.
So the greatest common factor 4053,1827 is 21.
Lets's calculate LCM of 698,4296
| 2 | 698, 4296 |
| 349, 2148 |
∴ So the LCM of the given numbers is 2 x 349 x 2148 = 1499304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1499304
Therefore, the GCF of Fractions 4053/698,1827/4296 is 21/1499304
Least Common Multiple of 698,4296 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 698,4296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,4296) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,4296) x common factors =2 x 1 = 2
LCM(698,4296) = ( 698 × 4296 ) / 2
LCM(698,4296) = 2998608 / 2
LCM(698,4296) = 1499304
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4053/698, 1827/4296
1. What is the HCF of 4053,1827?
The HCF of 4053,1827 is 21
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 4053/698, 1827/4296?
Answer: GCF of Numerators as per given numbers 4053/698, 1827/4296 is
GCF of Numerators i.e. for 4053,1827 is 21
LCM of denominators i.e. for 698,4296 is 1499304.
Thus, GCF of Fractions is 21/1499304.Finally, GCF of Fractions for 4053/698, 1827/4296 is 21/1499304.