GCF of 9101/443, 7035/6049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9101/443, 7035/6049 i.e 1/2679707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9101/443, 7035/6049.
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 9101/443,7035/6049?
Given fractions are 9101/443,7035/6049
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 9101/443,7035/6049, numerators are 9101,7035
Denominators are 443,6049
The GCF of 9101,7035 is 1 .
LCM of 443,6049 is 2679707.
The greatest common factor of 9101/443,7035/6049 = [GCF of 9101,7035]/[LCM of 443,6049]= 1/2679707
Therefore, the GCF of 9101/443,7035/6049 is 1/2679707.
To find the highest common factor of 9101,7035, we have to find the factors of both numbers and list the highest common factor.
The factors of 9101 are 1, 19, 479, 9101
The factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
The HCF of 9101,7035 is 1.
Lets's calculate GCF of 9101,7035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9101,7035 By Matching Biggest Common Factor Method
Now, list down the factors of 9101
:1,19,479,9101
Now, list down the factors of 7035
:1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035
Greatest Common Factor
We found the factors 9101,7035 . The biggest common factor number is the GCF number.
So the greatest common factor 9101,7035 is 1.
Lets's calculate LCM of 443,6049
Given numbers has no common factors except 1. So, there LCM is their product i.e 2679707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2679707
Therefore, the GCF of Fractions 9101/443,7035/6049 is 1/2679707
Least Common Multiple of 443,6049 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 443,6049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,6049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,6049) x common factors =1 x 1 = 1
LCM(443,6049) = ( 443 × 6049 ) / 1
LCM(443,6049) = 2679707 / 1
LCM(443,6049) = 2679707
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FAQs on GCF of Fractions of 9101/443, 7035/6049
1. What is the HCF of 9101,7035?
The HCF of 9101,7035 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 9101/443, 7035/6049?
Answer: GCF of Numerators as per given numbers 9101/443, 7035/6049 is
GCF of Numerators i.e. for 9101,7035 is 1
LCM of denominators i.e. for 443,6049 is 2679707.
Thus, GCF of Fractions is 1/2679707.Finally, GCF of Fractions for 9101/443, 7035/6049 is 1/2679707.