GCF of 7254/357, 3603/1226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7254/357, 3603/1226 i.e 3/437682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7254/357, 3603/1226.
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 7254/357,3603/1226?
Given fractions are 7254/357,3603/1226
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 7254/357,3603/1226, numerators are 7254,3603
Denominators are 357,1226
The GCF of 7254,3603 is 3 .
LCM of 357,1226 is 437682.
The greatest common factor of 7254/357,3603/1226 = [GCF of 7254,3603]/[LCM of 357,1226]= 3/437682
Therefore, the GCF of 7254/357,3603/1226 is 3/437682.
To find the highest common factor of 7254,3603, we have to find the factors of both numbers and list the highest common factor.
The factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254
The factors of 3603 are 1, 3, 1201, 3603
The HCF of 7254,3603 is 3.
Lets's calculate GCF of 7254,3603
| 3 | 7254, 3603 |
| 2418, 1201 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7254,3603 By Matching Biggest Common Factor Method
Now, list down the factors of 7254
:1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254
Now, list down the factors of 3603
:1,3,1201,3603
Greatest Common Factor
We found the factors 7254,3603 . The biggest common factor number is the GCF number.
So the greatest common factor 7254,3603 is 3.
Lets's calculate LCM of 357,1226
Given numbers has no common factors except 1. So, there LCM is their product i.e 437682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/437682
Therefore, the GCF of Fractions 7254/357,3603/1226 is 3/437682
Least Common Multiple of 357,1226 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 357,1226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,1226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,1226) x common factors =1 x 1 = 1
LCM(357,1226) = ( 357 × 1226 ) / 1
LCM(357,1226) = 437682 / 1
LCM(357,1226) = 437682
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7254/357, 3603/1226
1. What is the HCF of 7254,3603?
The HCF of 7254,3603 is 3
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 7254/357, 3603/1226?
Answer: GCF of Numerators as per given numbers 7254/357, 3603/1226 is
GCF of Numerators i.e. for 7254,3603 is 3
LCM of denominators i.e. for 357,1226 is 437682.
Thus, GCF of Fractions is 3/437682.Finally, GCF of Fractions for 7254/357, 3603/1226 is 3/437682.