GCF of 1883/382, 9420/6805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1883/382, 9420/6805 i.e 1/2599510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1883/382, 9420/6805.
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 1883/382,9420/6805?
Given fractions are 1883/382,9420/6805
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 1883/382,9420/6805, numerators are 1883,9420
Denominators are 382,6805
The GCF of 1883,9420 is 1 .
LCM of 382,6805 is 2599510.
The greatest common factor of 1883/382,9420/6805 = [GCF of 1883,9420]/[LCM of 382,6805]= 1/2599510
Therefore, the GCF of 1883/382,9420/6805 is 1/2599510.
To find the highest common factor of 1883,9420, we have to find the factors of both numbers and list the highest common factor.
The factors of 1883 are 1, 7, 269, 1883
The factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420
The HCF of 1883,9420 is 1.
Lets's calculate GCF of 1883,9420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1883,9420 By Matching Biggest Common Factor Method
Now, list down the factors of 1883
:1,7,269,1883
Now, list down the factors of 9420
:1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420
Greatest Common Factor
We found the factors 1883,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 1883,9420 is 1.
Lets's calculate LCM of 382,6805
Given numbers has no common factors except 1. So, there LCM is their product i.e 2599510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2599510
Therefore, the GCF of Fractions 1883/382,9420/6805 is 1/2599510
Least Common Multiple of 382,6805 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 382,6805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,6805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,6805) x common factors =1 x 1 = 1
LCM(382,6805) = ( 382 × 6805 ) / 1
LCM(382,6805) = 2599510 / 1
LCM(382,6805) = 2599510
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1883/382, 9420/6805
1. What is the HCF of 1883,9420?
The HCF of 1883,9420 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 1883/382, 9420/6805?
Answer: GCF of Numerators as per given numbers 1883/382, 9420/6805 is
GCF of Numerators i.e. for 1883,9420 is 1
LCM of denominators i.e. for 382,6805 is 2599510.
Thus, GCF of Fractions is 1/2599510.Finally, GCF of Fractions for 1883/382, 9420/6805 is 1/2599510.