GCF of 9011/315, 3922/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9011/315, 3922/706 i.e 1/222390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9011/315, 3922/706.
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 9011/315,3922/706?
Given fractions are 9011/315,3922/706
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 9011/315,3922/706, numerators are 9011,3922
Denominators are 315,706
The GCF of 9011,3922 is 1 .
LCM of 315,706 is 222390.
The greatest common factor of 9011/315,3922/706 = [GCF of 9011,3922]/[LCM of 315,706]= 1/222390
Therefore, the GCF of 9011/315,3922/706 is 1/222390.
To find the highest common factor of 9011,3922, we have to find the factors of both numbers and list the highest common factor.
The factors of 9011 are 1, 9011
The factors of 3922 are 1, 2, 37, 53, 74, 106, 1961, 3922
The HCF of 9011,3922 is 1.
Lets's calculate GCF of 9011,3922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9011,3922 By Matching Biggest Common Factor Method
Now, list down the factors of 9011
:1,9011
Now, list down the factors of 3922
:1,2,37,53,74,106,1961,3922
Greatest Common Factor
We found the factors 9011,3922 . The biggest common factor number is the GCF number.
So the greatest common factor 9011,3922 is 1.
Lets's calculate LCM of 315,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 222390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222390
Therefore, the GCF of Fractions 9011/315,3922/706 is 1/222390
Least Common Multiple of 315,706 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 315,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,706) x common factors =1 x 1 = 1
LCM(315,706) = ( 315 × 706 ) / 1
LCM(315,706) = 222390 / 1
LCM(315,706) = 222390
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FAQs on GCF of Fractions of 9011/315, 3922/706
1. What is the HCF of 9011,3922?
The HCF of 9011,3922 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 9011/315, 3922/706?
Answer: GCF of Numerators as per given numbers 9011/315, 3922/706 is
GCF of Numerators i.e. for 9011,3922 is 1
LCM of denominators i.e. for 315,706 is 222390.
Thus, GCF of Fractions is 1/222390.Finally, GCF of Fractions for 9011/315, 3922/706 is 1/222390.