GCF of 3182/286, 5602/9462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3182/286, 5602/9462 i.e 2/1353066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3182/286, 5602/9462.
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 3182/286,5602/9462?
Given fractions are 3182/286,5602/9462
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 3182/286,5602/9462, numerators are 3182,5602
Denominators are 286,9462
The GCF of 3182,5602 is 2 .
LCM of 286,9462 is 1353066.
The greatest common factor of 3182/286,5602/9462 = [GCF of 3182,5602]/[LCM of 286,9462]= 2/1353066
Therefore, the GCF of 3182/286,5602/9462 is 2/1353066.
To find the highest common factor of 3182,5602, we have to find the factors of both numbers and list the highest common factor.
The factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182
The factors of 5602 are 1, 2, 2801, 5602
The HCF of 3182,5602 is 2.
Lets's calculate GCF of 3182,5602
| 2 | 3182, 5602 |
| 1591, 2801 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3182,5602 By Matching Biggest Common Factor Method
Now, list down the factors of 3182
:1,2,37,43,74,86,1591,3182
Now, list down the factors of 5602
:1,2,2801,5602
Greatest Common Factor
We found the factors 3182,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 3182,5602 is 2.
Lets's calculate LCM of 286,9462
| 2 | 286, 9462 |
| 143, 4731 |
∴ So the LCM of the given numbers is 2 x 143 x 4731 = 1353066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1353066
Therefore, the GCF of Fractions 3182/286,5602/9462 is 2/1353066
Least Common Multiple of 286,9462 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 286,9462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,9462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,9462) x common factors =2 x 1 = 2
LCM(286,9462) = ( 286 × 9462 ) / 2
LCM(286,9462) = 2706132 / 2
LCM(286,9462) = 1353066
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FAQs on GCF of Fractions of 3182/286, 5602/9462
1. What is the HCF of 3182,5602?
The HCF of 3182,5602 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 3182/286, 5602/9462?
Answer: GCF of Numerators as per given numbers 3182/286, 5602/9462 is
GCF of Numerators i.e. for 3182,5602 is 2
LCM of denominators i.e. for 286,9462 is 1353066.
Thus, GCF of Fractions is 2/1353066.Finally, GCF of Fractions for 3182/286, 5602/9462 is 2/1353066.