GCF of 3105/561, 2156/2313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3105/561, 2156/2313 i.e 1/432531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3105/561, 2156/2313.
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 3105/561,2156/2313?
Given fractions are 3105/561,2156/2313
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 3105/561,2156/2313, numerators are 3105,2156
Denominators are 561,2313
The GCF of 3105,2156 is 1 .
LCM of 561,2313 is 432531.
The greatest common factor of 3105/561,2156/2313 = [GCF of 3105,2156]/[LCM of 561,2313]= 1/432531
Therefore, the GCF of 3105/561,2156/2313 is 1/432531.
To find the highest common factor of 3105,2156, we have to find the factors of both numbers and list the highest common factor.
The factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The HCF of 3105,2156 is 1.
Lets's calculate GCF of 3105,2156
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3105,2156 By Matching Biggest Common Factor Method
Now, list down the factors of 3105
:1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105
Now, list down the factors of 2156
:1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Greatest Common Factor
We found the factors 3105,2156 . The biggest common factor number is the GCF number.
So the greatest common factor 3105,2156 is 1.
Lets's calculate LCM of 561,2313
| 3 | 561, 2313 |
| 187, 771 |
∴ So the LCM of the given numbers is 3 x 187 x 771 = 432531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432531
Therefore, the GCF of Fractions 3105/561,2156/2313 is 1/432531
Least Common Multiple of 561,2313 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 561,2313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,2313) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,2313) x common factors =3 x 1 = 3
LCM(561,2313) = ( 561 × 2313 ) / 3
LCM(561,2313) = 1297593 / 3
LCM(561,2313) = 432531
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FAQs on GCF of Fractions of 3105/561, 2156/2313
1. What is the HCF of 3105,2156?
The HCF of 3105,2156 is 1
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 3105/561, 2156/2313?
Answer: GCF of Numerators as per given numbers 3105/561, 2156/2313 is
GCF of Numerators i.e. for 3105,2156 is 1
LCM of denominators i.e. for 561,2313 is 432531.
Thus, GCF of Fractions is 1/432531.Finally, GCF of Fractions for 3105/561, 2156/2313 is 1/432531.