GCF of 3816/723, 7162/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3816/723, 7162/408 i.e 2/98328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3816/723, 7162/408.
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 3816/723,7162/408?
Given fractions are 3816/723,7162/408
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 3816/723,7162/408, numerators are 3816,7162
Denominators are 723,408
The GCF of 3816,7162 is 2 .
LCM of 723,408 is 98328.
The greatest common factor of 3816/723,7162/408 = [GCF of 3816,7162]/[LCM of 723,408]= 2/98328
Therefore, the GCF of 3816/723,7162/408 is 2/98328.
To find the highest common factor of 3816,7162, we have to find the factors of both numbers and list the highest common factor.
The factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816
The factors of 7162 are 1, 2, 3581, 7162
The HCF of 3816,7162 is 2.
Lets's calculate GCF of 3816,7162
| 2 | 3816, 7162 |
| 1908, 3581 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3816,7162 By Matching Biggest Common Factor Method
Now, list down the factors of 3816
:1,2,3,4,6,8,9,12,18,24,36,53,72,106,159,212,318,424,477,636,954,1272,1908,3816
Now, list down the factors of 7162
:1,2,3581,7162
Greatest Common Factor
We found the factors 3816,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 3816,7162 is 2.
Lets's calculate LCM of 723,408
| 3 | 723, 408 |
| 241, 136 |
∴ So the LCM of the given numbers is 3 x 241 x 136 = 98328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98328
Therefore, the GCF of Fractions 3816/723,7162/408 is 2/98328
Least Common Multiple of 723,408 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 723,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,408) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,408) x common factors =3 x 1 = 3
LCM(723,408) = ( 723 × 408 ) / 3
LCM(723,408) = 294984 / 3
LCM(723,408) = 98328
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FAQs on GCF of Fractions of 3816/723, 7162/408
1. What is the HCF of 3816,7162?
The HCF of 3816,7162 is 2
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 3816/723, 7162/408?
Answer: GCF of Numerators as per given numbers 3816/723, 7162/408 is
GCF of Numerators i.e. for 3816,7162 is 2
LCM of denominators i.e. for 723,408 is 98328.
Thus, GCF of Fractions is 2/98328.Finally, GCF of Fractions for 3816/723, 7162/408 is 2/98328.