GCF of 2063/827, 9765/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2063/827, 9765/235 i.e 1/194345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2063/827, 9765/235.
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 2063/827,9765/235?
Given fractions are 2063/827,9765/235
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 2063/827,9765/235, numerators are 2063,9765
Denominators are 827,235
The GCF of 2063,9765 is 1 .
LCM of 827,235 is 194345.
The greatest common factor of 2063/827,9765/235 = [GCF of 2063,9765]/[LCM of 827,235]= 1/194345
Therefore, the GCF of 2063/827,9765/235 is 1/194345.
To find the highest common factor of 2063,9765, we have to find the factors of both numbers and list the highest common factor.
The factors of 2063 are 1, 2063
The factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765
The HCF of 2063,9765 is 1.
Lets's calculate GCF of 2063,9765
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2063,9765 By Matching Biggest Common Factor Method
Now, list down the factors of 2063
:1,2063
Now, list down the factors of 9765
:1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765
Greatest Common Factor
We found the factors 2063,9765 . The biggest common factor number is the GCF number.
So the greatest common factor 2063,9765 is 1.
Lets's calculate LCM of 827,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 194345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194345
Therefore, the GCF of Fractions 2063/827,9765/235 is 1/194345
Least Common Multiple of 827,235 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 827,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,235) x common factors =1 x 1 = 1
LCM(827,235) = ( 827 × 235 ) / 1
LCM(827,235) = 194345 / 1
LCM(827,235) = 194345
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2063/827, 9765/235
1. What is the HCF of 2063,9765?
The HCF of 2063,9765 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 2063/827, 9765/235?
Answer: GCF of Numerators as per given numbers 2063/827, 9765/235 is
GCF of Numerators i.e. for 2063,9765 is 1
LCM of denominators i.e. for 827,235 is 194345.
Thus, GCF of Fractions is 1/194345.Finally, GCF of Fractions for 2063/827, 9765/235 is 1/194345.