GCF of 1108/596, 7221/3186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1108/596, 7221/3186 i.e 1/949428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1108/596, 7221/3186.
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 1108/596,7221/3186?
Given fractions are 1108/596,7221/3186
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 1108/596,7221/3186, numerators are 1108,7221
Denominators are 596,3186
The GCF of 1108,7221 is 1 .
LCM of 596,3186 is 949428.
The greatest common factor of 1108/596,7221/3186 = [GCF of 1108,7221]/[LCM of 596,3186]= 1/949428
Therefore, the GCF of 1108/596,7221/3186 is 1/949428.
To find the highest common factor of 1108,7221, we have to find the factors of both numbers and list the highest common factor.
The factors of 1108 are 1, 2, 4, 277, 554, 1108
The factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221
The HCF of 1108,7221 is 1.
Lets's calculate GCF of 1108,7221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1108,7221 By Matching Biggest Common Factor Method
Now, list down the factors of 1108
:1,2,4,277,554,1108
Now, list down the factors of 7221
:1,3,29,83,87,249,2407,7221
Greatest Common Factor
We found the factors 1108,7221 . The biggest common factor number is the GCF number.
So the greatest common factor 1108,7221 is 1.
Lets's calculate LCM of 596,3186
| 2 | 596, 3186 |
| 298, 1593 |
∴ So the LCM of the given numbers is 2 x 298 x 1593 = 949428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/949428
Therefore, the GCF of Fractions 1108/596,7221/3186 is 1/949428
Least Common Multiple of 596,3186 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 596,3186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,3186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,3186) x common factors =2 x 1 = 2
LCM(596,3186) = ( 596 × 3186 ) / 2
LCM(596,3186) = 1898856 / 2
LCM(596,3186) = 949428
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FAQs on GCF of Fractions of 1108/596, 7221/3186
1. What is the HCF of 1108,7221?
The HCF of 1108,7221 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 1108/596, 7221/3186?
Answer: GCF of Numerators as per given numbers 1108/596, 7221/3186 is
GCF of Numerators i.e. for 1108,7221 is 1
LCM of denominators i.e. for 596,3186 is 949428.
Thus, GCF of Fractions is 1/949428.Finally, GCF of Fractions for 1108/596, 7221/3186 is 1/949428.