GCF of 3482/182, 6132/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3482/182, 6132/831 i.e 2/151242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3482/182, 6132/831.
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 3482/182,6132/831?
Given fractions are 3482/182,6132/831
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 3482/182,6132/831, numerators are 3482,6132
Denominators are 182,831
The GCF of 3482,6132 is 2 .
LCM of 182,831 is 151242.
The greatest common factor of 3482/182,6132/831 = [GCF of 3482,6132]/[LCM of 182,831]= 2/151242
Therefore, the GCF of 3482/182,6132/831 is 2/151242.
To find the highest common factor of 3482,6132, we have to find the factors of both numbers and list the highest common factor.
The factors of 3482 are 1, 2, 1741, 3482
The factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132
The HCF of 3482,6132 is 2.
Lets's calculate GCF of 3482,6132
| 2 | 3482, 6132 |
| 1741, 3066 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3482,6132 By Matching Biggest Common Factor Method
Now, list down the factors of 3482
:1,2,1741,3482
Now, list down the factors of 6132
:1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Greatest Common Factor
We found the factors 3482,6132 . The biggest common factor number is the GCF number.
So the greatest common factor 3482,6132 is 2.
Lets's calculate LCM of 182,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 151242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151242
Therefore, the GCF of Fractions 3482/182,6132/831 is 2/151242
Least Common Multiple of 182,831 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 182,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,831) x common factors =1 x 1 = 1
LCM(182,831) = ( 182 × 831 ) / 1
LCM(182,831) = 151242 / 1
LCM(182,831) = 151242
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FAQs on GCF of Fractions of 3482/182, 6132/831
1. What is the HCF of 3482,6132?
The HCF of 3482,6132 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 3482/182, 6132/831?
Answer: GCF of Numerators as per given numbers 3482/182, 6132/831 is
GCF of Numerators i.e. for 3482,6132 is 2
LCM of denominators i.e. for 182,831 is 151242.
Thus, GCF of Fractions is 2/151242.Finally, GCF of Fractions for 3482/182, 6132/831 is 2/151242.