GCF of 2287/816, 8438/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2287/816, 8438/219 i.e 1/59568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2287/816, 8438/219.
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 2287/816,8438/219?
Given fractions are 2287/816,8438/219
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 2287/816,8438/219, numerators are 2287,8438
Denominators are 816,219
The GCF of 2287,8438 is 1 .
LCM of 816,219 is 59568.
The greatest common factor of 2287/816,8438/219 = [GCF of 2287,8438]/[LCM of 816,219]= 1/59568
Therefore, the GCF of 2287/816,8438/219 is 1/59568.
To find the highest common factor of 2287,8438, we have to find the factors of both numbers and list the highest common factor.
The factors of 2287 are 1, 2287
The factors of 8438 are 1, 2, 4219, 8438
The HCF of 2287,8438 is 1.
Lets's calculate GCF of 2287,8438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2287,8438 By Matching Biggest Common Factor Method
Now, list down the factors of 2287
:1,2287
Now, list down the factors of 8438
:1,2,4219,8438
Greatest Common Factor
We found the factors 2287,8438 . The biggest common factor number is the GCF number.
So the greatest common factor 2287,8438 is 1.
Lets's calculate LCM of 816,219
| 3 | 816, 219 |
| 272, 73 |
∴ So the LCM of the given numbers is 3 x 272 x 73 = 59568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59568
Therefore, the GCF of Fractions 2287/816,8438/219 is 1/59568
Least Common Multiple of 816,219 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 816,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,219) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(816,219) x common factors =3 x 1 = 3
LCM(816,219) = ( 816 × 219 ) / 3
LCM(816,219) = 178704 / 3
LCM(816,219) = 59568
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FAQs on GCF of Fractions of 2287/816, 8438/219
1. What is the HCF of 2287,8438?
The HCF of 2287,8438 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 2287/816, 8438/219?
Answer: GCF of Numerators as per given numbers 2287/816, 8438/219 is
GCF of Numerators i.e. for 2287,8438 is 1
LCM of denominators i.e. for 816,219 is 59568.
Thus, GCF of Fractions is 1/59568.Finally, GCF of Fractions for 2287/816, 8438/219 is 1/59568.