GCF of 3623/816, 2242/3111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3623/816, 2242/3111 i.e 1/49776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3623/816, 2242/3111.
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 3623/816,2242/3111?
Given fractions are 3623/816,2242/3111
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 3623/816,2242/3111, numerators are 3623,2242
Denominators are 816,3111
The GCF of 3623,2242 is 1 .
LCM of 816,3111 is 49776.
The greatest common factor of 3623/816,2242/3111 = [GCF of 3623,2242]/[LCM of 816,3111]= 1/49776
Therefore, the GCF of 3623/816,2242/3111 is 1/49776.
To find the highest common factor of 3623,2242, we have to find the factors of both numbers and list the highest common factor.
The factors of 3623 are 1, 3623
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The HCF of 3623,2242 is 1.
Lets's calculate GCF of 3623,2242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3623,2242 By Matching Biggest Common Factor Method
Now, list down the factors of 3623
:1,3623
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Greatest Common Factor
We found the factors 3623,2242 . The biggest common factor number is the GCF number.
So the greatest common factor 3623,2242 is 1.
Lets's calculate LCM of 816,3111
| 3 | 816, 3111 |
| 17 | 272, 1037 |
| 16, 61 |
∴ So the LCM of the given numbers is 3 x 17 x 16 x 61 = 49776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49776
Therefore, the GCF of Fractions 3623/816,2242/3111 is 1/49776
Least Common Multiple of 816,3111 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 816,3111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,3111) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(816,3111) x common factors =51 x 1 = 51
LCM(816,3111) = ( 816 × 3111 ) / 51
LCM(816,3111) = 2538576 / 51
LCM(816,3111) = 49776
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FAQs on GCF of Fractions of 3623/816, 2242/3111
1. What is the HCF of 3623,2242?
The HCF of 3623,2242 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 3623/816, 2242/3111?
Answer: GCF of Numerators as per given numbers 3623/816, 2242/3111 is
GCF of Numerators i.e. for 3623,2242 is 1
LCM of denominators i.e. for 816,3111 is 49776.
Thus, GCF of Fractions is 1/49776.Finally, GCF of Fractions for 3623/816, 2242/3111 is 1/49776.