GCF of 3100/123, 9324/161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3100/123, 9324/161 i.e 4/19803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3100/123, 9324/161.
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 3100/123,9324/161?
Given fractions are 3100/123,9324/161
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 3100/123,9324/161, numerators are 3100,9324
Denominators are 123,161
The GCF of 3100,9324 is 4 .
LCM of 123,161 is 19803.
The greatest common factor of 3100/123,9324/161 = [GCF of 3100,9324]/[LCM of 123,161]= 4/19803
Therefore, the GCF of 3100/123,9324/161 is 4/19803.
To find the highest common factor of 3100,9324, we have to find the factors of both numbers and list the highest common factor.
The factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100
The factors of 9324 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324
The HCF of 3100,9324 is 4.
Lets's calculate GCF of 3100,9324
| 2 | 3100, 9324 |
| 2 | 1550, 4662 |
| 775, 2331 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3100,9324 By Matching Biggest Common Factor Method
Now, list down the factors of 3100
:1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100
Now, list down the factors of 9324
:1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324
Greatest Common Factor
We found the factors 3100,9324 . The biggest common factor number is the GCF number.
So the greatest common factor 3100,9324 is 4.
Lets's calculate LCM of 123,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 19803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19803
Therefore, the GCF of Fractions 3100/123,9324/161 is 4/19803
Least Common Multiple of 123,161 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 123,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,161) x common factors =1 x 1 = 1
LCM(123,161) = ( 123 × 161 ) / 1
LCM(123,161) = 19803 / 1
LCM(123,161) = 19803
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FAQs on GCF of Fractions of 3100/123, 9324/161
1. What is the HCF of 3100,9324?
The HCF of 3100,9324 is 4
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 3100/123, 9324/161?
Answer: GCF of Numerators as per given numbers 3100/123, 9324/161 is
GCF of Numerators i.e. for 3100,9324 is 4
LCM of denominators i.e. for 123,161 is 19803.
Thus, GCF of Fractions is 4/19803.Finally, GCF of Fractions for 3100/123, 9324/161 is 4/19803.