GCF of 5782/286, 8348/3218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5782/286, 8348/3218 i.e 2/460174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5782/286, 8348/3218.
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 5782/286,8348/3218?
Given fractions are 5782/286,8348/3218
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 5782/286,8348/3218, numerators are 5782,8348
Denominators are 286,3218
The GCF of 5782,8348 is 2 .
LCM of 286,3218 is 460174.
The greatest common factor of 5782/286,8348/3218 = [GCF of 5782,8348]/[LCM of 286,3218]= 2/460174
Therefore, the GCF of 5782/286,8348/3218 is 2/460174.
To find the highest common factor of 5782,8348, we have to find the factors of both numbers and list the highest common factor.
The factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782
The factors of 8348 are 1, 2, 4, 2087, 4174, 8348
The HCF of 5782,8348 is 2.
Lets's calculate GCF of 5782,8348
| 2 | 5782, 8348 |
| 2891, 4174 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5782,8348 By Matching Biggest Common Factor Method
Now, list down the factors of 5782
:1,2,7,14,49,59,98,118,413,826,2891,5782
Now, list down the factors of 8348
:1,2,4,2087,4174,8348
Greatest Common Factor
We found the factors 5782,8348 . The biggest common factor number is the GCF number.
So the greatest common factor 5782,8348 is 2.
Lets's calculate LCM of 286,3218
| 2 | 286, 3218 |
| 143, 1609 |
∴ So the LCM of the given numbers is 2 x 143 x 1609 = 460174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/460174
Therefore, the GCF of Fractions 5782/286,8348/3218 is 2/460174
Least Common Multiple of 286,3218 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 286,3218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,3218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,3218) x common factors =2 x 1 = 2
LCM(286,3218) = ( 286 × 3218 ) / 2
LCM(286,3218) = 920348 / 2
LCM(286,3218) = 460174
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FAQs on GCF of Fractions of 5782/286, 8348/3218
1. What is the HCF of 5782,8348?
The HCF of 5782,8348 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 5782/286, 8348/3218?
Answer: GCF of Numerators as per given numbers 5782/286, 8348/3218 is
GCF of Numerators i.e. for 5782,8348 is 2
LCM of denominators i.e. for 286,3218 is 460174.
Thus, GCF of Fractions is 2/460174.Finally, GCF of Fractions for 5782/286, 8348/3218 is 2/460174.