GCF of 2130/362, 8132/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2130/362, 8132/461 i.e 2/166882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2130/362, 8132/461.
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 2130/362,8132/461?
Given fractions are 2130/362,8132/461
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 2130/362,8132/461, numerators are 2130,8132
Denominators are 362,461
The GCF of 2130,8132 is 2 .
LCM of 362,461 is 166882.
The greatest common factor of 2130/362,8132/461 = [GCF of 2130,8132]/[LCM of 362,461]= 2/166882
Therefore, the GCF of 2130/362,8132/461 is 2/166882.
To find the highest common factor of 2130,8132, we have to find the factors of both numbers and list the highest common factor.
The factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130
The factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132
The HCF of 2130,8132 is 2.
Lets's calculate GCF of 2130,8132
| 2 | 2130, 8132 |
| 1065, 4066 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2130,8132 By Matching Biggest Common Factor Method
Now, list down the factors of 2130
:1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130
Now, list down the factors of 8132
:1,2,4,19,38,76,107,214,428,2033,4066,8132
Greatest Common Factor
We found the factors 2130,8132 . The biggest common factor number is the GCF number.
So the greatest common factor 2130,8132 is 2.
Lets's calculate LCM of 362,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 166882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166882
Therefore, the GCF of Fractions 2130/362,8132/461 is 2/166882
Least Common Multiple of 362,461 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 362,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,461) x common factors =1 x 1 = 1
LCM(362,461) = ( 362 × 461 ) / 1
LCM(362,461) = 166882 / 1
LCM(362,461) = 166882
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FAQs on GCF of Fractions of 2130/362, 8132/461
1. What is the HCF of 2130,8132?
The HCF of 2130,8132 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 2130/362, 8132/461?
Answer: GCF of Numerators as per given numbers 2130/362, 8132/461 is
GCF of Numerators i.e. for 2130,8132 is 2
LCM of denominators i.e. for 362,461 is 166882.
Thus, GCF of Fractions is 2/166882.Finally, GCF of Fractions for 2130/362, 8132/461 is 2/166882.