GCF of 1170/61, 9683/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1170/61, 9683/338 i.e 1/20618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1170/61, 9683/338.
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 1170/61,9683/338?
Given fractions are 1170/61,9683/338
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 1170/61,9683/338, numerators are 1170,9683
Denominators are 61,338
The GCF of 1170,9683 is 1 .
LCM of 61,338 is 20618.
The greatest common factor of 1170/61,9683/338 = [GCF of 1170,9683]/[LCM of 61,338]= 1/20618
Therefore, the GCF of 1170/61,9683/338 is 1/20618.
To find the highest common factor of 1170,9683, we have to find the factors of both numbers and list the highest common factor.
The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170
The factors of 9683 are 1, 23, 421, 9683
The HCF of 1170,9683 is 1.
Lets's calculate GCF of 1170,9683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1170,9683 By Matching Biggest Common Factor Method
Now, list down the factors of 1170
:1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170
Now, list down the factors of 9683
:1,23,421,9683
Greatest Common Factor
We found the factors 1170,9683 . The biggest common factor number is the GCF number.
So the greatest common factor 1170,9683 is 1.
Lets's calculate LCM of 61,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 20618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20618
Therefore, the GCF of Fractions 1170/61,9683/338 is 1/20618
Least Common Multiple of 61,338 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 61,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,338) x common factors =1 x 1 = 1
LCM(61,338) = ( 61 × 338 ) / 1
LCM(61,338) = 20618 / 1
LCM(61,338) = 20618
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1170/61, 9683/338
1. What is the HCF of 1170,9683?
The HCF of 1170,9683 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 1170/61, 9683/338?
Answer: GCF of Numerators as per given numbers 1170/61, 9683/338 is
GCF of Numerators i.e. for 1170,9683 is 1
LCM of denominators i.e. for 61,338 is 20618.
Thus, GCF of Fractions is 1/20618.Finally, GCF of Fractions for 1170/61, 9683/338 is 1/20618.