GCF of 6705/682, 9482/3035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6705/682, 9482/3035 i.e 1/2069870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6705/682, 9482/3035.
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 6705/682,9482/3035?
Given fractions are 6705/682,9482/3035
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 6705/682,9482/3035, numerators are 6705,9482
Denominators are 682,3035
The GCF of 6705,9482 is 1 .
LCM of 682,3035 is 2069870.
The greatest common factor of 6705/682,9482/3035 = [GCF of 6705,9482]/[LCM of 682,3035]= 1/2069870
Therefore, the GCF of 6705/682,9482/3035 is 1/2069870.
To find the highest common factor of 6705,9482, we have to find the factors of both numbers and list the highest common factor.
The factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705
The factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482
The HCF of 6705,9482 is 1.
Lets's calculate GCF of 6705,9482
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6705,9482 By Matching Biggest Common Factor Method
Now, list down the factors of 6705
:1,3,5,9,15,45,149,447,745,1341,2235,6705
Now, list down the factors of 9482
:1,2,11,22,431,862,4741,9482
Greatest Common Factor
We found the factors 6705,9482 . The biggest common factor number is the GCF number.
So the greatest common factor 6705,9482 is 1.
Lets's calculate LCM of 682,3035
Given numbers has no common factors except 1. So, there LCM is their product i.e 2069870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2069870
Therefore, the GCF of Fractions 6705/682,9482/3035 is 1/2069870
Least Common Multiple of 682,3035 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 682,3035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,3035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,3035) x common factors =1 x 1 = 1
LCM(682,3035) = ( 682 × 3035 ) / 1
LCM(682,3035) = 2069870 / 1
LCM(682,3035) = 2069870
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FAQs on GCF of Fractions of 6705/682, 9482/3035
1. What is the HCF of 6705,9482?
The HCF of 6705,9482 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 6705/682, 9482/3035?
Answer: GCF of Numerators as per given numbers 6705/682, 9482/3035 is
GCF of Numerators i.e. for 6705,9482 is 1
LCM of denominators i.e. for 682,3035 is 2069870.
Thus, GCF of Fractions is 1/2069870.Finally, GCF of Fractions for 6705/682, 9482/3035 is 1/2069870.