GCF of 1368/284, 5882/4231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1368/284, 5882/4231 i.e 2/1201604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1368/284, 5882/4231.
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 1368/284,5882/4231?
Given fractions are 1368/284,5882/4231
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 1368/284,5882/4231, numerators are 1368,5882
Denominators are 284,4231
The GCF of 1368,5882 is 2 .
LCM of 284,4231 is 1201604.
The greatest common factor of 1368/284,5882/4231 = [GCF of 1368,5882]/[LCM of 284,4231]= 2/1201604
Therefore, the GCF of 1368/284,5882/4231 is 2/1201604.
To find the highest common factor of 1368,5882, we have to find the factors of both numbers and list the highest common factor.
The factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368
The factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882
The HCF of 1368,5882 is 2.
Lets's calculate GCF of 1368,5882
| 2 | 1368, 5882 |
| 684, 2941 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1368,5882 By Matching Biggest Common Factor Method
Now, list down the factors of 1368
:1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368
Now, list down the factors of 5882
:1,2,17,34,173,346,2941,5882
Greatest Common Factor
We found the factors 1368,5882 . The biggest common factor number is the GCF number.
So the greatest common factor 1368,5882 is 2.
Lets's calculate LCM of 284,4231
Given numbers has no common factors except 1. So, there LCM is their product i.e 1201604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1201604
Therefore, the GCF of Fractions 1368/284,5882/4231 is 2/1201604
Least Common Multiple of 284,4231 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 284,4231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,4231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,4231) x common factors =1 x 1 = 1
LCM(284,4231) = ( 284 × 4231 ) / 1
LCM(284,4231) = 1201604 / 1
LCM(284,4231) = 1201604
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FAQs on GCF of Fractions of 1368/284, 5882/4231
1. What is the HCF of 1368,5882?
The HCF of 1368,5882 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 1368/284, 5882/4231?
Answer: GCF of Numerators as per given numbers 1368/284, 5882/4231 is
GCF of Numerators i.e. for 1368,5882 is 2
LCM of denominators i.e. for 284,4231 is 1201604.
Thus, GCF of Fractions is 2/1201604.Finally, GCF of Fractions for 1368/284, 5882/4231 is 2/1201604.