GCF of 9787/856, 3105/9870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9787/856, 3105/9870 i.e 1/4224360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9787/856, 3105/9870.
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 9787/856,3105/9870?
Given fractions are 9787/856,3105/9870
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 9787/856,3105/9870, numerators are 9787,3105
Denominators are 856,9870
The GCF of 9787,3105 is 1 .
LCM of 856,9870 is 4224360.
The greatest common factor of 9787/856,3105/9870 = [GCF of 9787,3105]/[LCM of 856,9870]= 1/4224360
Therefore, the GCF of 9787/856,3105/9870 is 1/4224360.
To find the highest common factor of 9787,3105, we have to find the factors of both numbers and list the highest common factor.
The factors of 9787 are 1, 9787
The factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105
The HCF of 9787,3105 is 1.
Lets's calculate GCF of 9787,3105
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9787,3105 By Matching Biggest Common Factor Method
Now, list down the factors of 9787
:1,9787
Now, list down the factors of 3105
:1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105
Greatest Common Factor
We found the factors 9787,3105 . The biggest common factor number is the GCF number.
So the greatest common factor 9787,3105 is 1.
Lets's calculate LCM of 856,9870
| 2 | 856, 9870 |
| 428, 4935 |
∴ So the LCM of the given numbers is 2 x 428 x 4935 = 4224360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4224360
Therefore, the GCF of Fractions 9787/856,3105/9870 is 1/4224360
Least Common Multiple of 856,9870 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 856,9870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,9870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(856,9870) x common factors =2 x 1 = 2
LCM(856,9870) = ( 856 × 9870 ) / 2
LCM(856,9870) = 8448720 / 2
LCM(856,9870) = 4224360
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FAQs on GCF of Fractions of 9787/856, 3105/9870
1. What is the HCF of 9787,3105?
The HCF of 9787,3105 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 9787/856, 3105/9870?
Answer: GCF of Numerators as per given numbers 9787/856, 3105/9870 is
GCF of Numerators i.e. for 9787,3105 is 1
LCM of denominators i.e. for 856,9870 is 4224360.
Thus, GCF of Fractions is 1/4224360.Finally, GCF of Fractions for 9787/856, 3105/9870 is 1/4224360.