GCF of 9089/540, 9182/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9089/540, 9182/706 i.e 1/190620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9089/540, 9182/706.
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 9089/540,9182/706?
Given fractions are 9089/540,9182/706
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 9089/540,9182/706, numerators are 9089,9182
Denominators are 540,706
The GCF of 9089,9182 is 1 .
LCM of 540,706 is 190620.
The greatest common factor of 9089/540,9182/706 = [GCF of 9089,9182]/[LCM of 540,706]= 1/190620
Therefore, the GCF of 9089/540,9182/706 is 1/190620.
To find the highest common factor of 9089,9182, we have to find the factors of both numbers and list the highest common factor.
The factors of 9089 are 1, 61, 149, 9089
The factors of 9182 are 1, 2, 4591, 9182
The HCF of 9089,9182 is 1.
Lets's calculate GCF of 9089,9182
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9089,9182 By Matching Biggest Common Factor Method
Now, list down the factors of 9089
:1,61,149,9089
Now, list down the factors of 9182
:1,2,4591,9182
Greatest Common Factor
We found the factors 9089,9182 . The biggest common factor number is the GCF number.
So the greatest common factor 9089,9182 is 1.
Lets's calculate LCM of 540,706
| 2 | 540, 706 |
| 270, 353 |
∴ So the LCM of the given numbers is 2 x 270 x 353 = 190620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190620
Therefore, the GCF of Fractions 9089/540,9182/706 is 1/190620
Least Common Multiple of 540,706 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 540,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(540,706) x common factors =2 x 1 = 2
LCM(540,706) = ( 540 × 706 ) / 2
LCM(540,706) = 381240 / 2
LCM(540,706) = 190620
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FAQs on GCF of Fractions of 9089/540, 9182/706
1. What is the HCF of 9089,9182?
The HCF of 9089,9182 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 9089/540, 9182/706?
Answer: GCF of Numerators as per given numbers 9089/540, 9182/706 is
GCF of Numerators i.e. for 9089,9182 is 1
LCM of denominators i.e. for 540,706 is 190620.
Thus, GCF of Fractions is 1/190620.Finally, GCF of Fractions for 9089/540, 9182/706 is 1/190620.