GCF of 130/533, 3132/6163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 130/533, 3132/6163 i.e 2/3284879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/533, 3132/6163.
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 130/533,3132/6163?
Given fractions are 130/533,3132/6163
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 130/533,3132/6163, numerators are 130,3132
Denominators are 533,6163
The GCF of 130,3132 is 2 .
LCM of 533,6163 is 3284879.
The greatest common factor of 130/533,3132/6163 = [GCF of 130,3132]/[LCM of 533,6163]= 2/3284879
Therefore, the GCF of 130/533,3132/6163 is 2/3284879.
To find the highest common factor of 130,3132, we have to find the factors of both numbers and list the highest common factor.
The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130
The factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132
The HCF of 130,3132 is 2.
Lets's calculate GCF of 130,3132
| 2 | 130, 3132 |
| 65, 1566 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 130,3132 By Matching Biggest Common Factor Method
Now, list down the factors of 130
:1,2,5,10,13,26,65,130
Now, list down the factors of 3132
:1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132
Greatest Common Factor
We found the factors 130,3132 . The biggest common factor number is the GCF number.
So the greatest common factor 130,3132 is 2.
Lets's calculate LCM of 533,6163
Given numbers has no common factors except 1. So, there LCM is their product i.e 3284879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3284879
Therefore, the GCF of Fractions 130/533,3132/6163 is 2/3284879
Least Common Multiple of 533,6163 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 533,6163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,6163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,6163) x common factors =1 x 1 = 1
LCM(533,6163) = ( 533 × 6163 ) / 1
LCM(533,6163) = 3284879 / 1
LCM(533,6163) = 3284879
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FAQs on GCF of Fractions of 130/533, 3132/6163
1. What is the HCF of 130,3132?
The HCF of 130,3132 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 130/533, 3132/6163?
Answer: GCF of Numerators as per given numbers 130/533, 3132/6163 is
GCF of Numerators i.e. for 130,3132 is 2
LCM of denominators i.e. for 533,6163 is 3284879.
Thus, GCF of Fractions is 2/3284879.Finally, GCF of Fractions for 130/533, 3132/6163 is 2/3284879.