GCF of 9020/613, 9419/6014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9020/613, 9419/6014 i.e 1/3686582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9020/613, 9419/6014.
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 9020/613,9419/6014?
Given fractions are 9020/613,9419/6014
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 9020/613,9419/6014, numerators are 9020,9419
Denominators are 613,6014
The GCF of 9020,9419 is 1 .
LCM of 613,6014 is 3686582.
The greatest common factor of 9020/613,9419/6014 = [GCF of 9020,9419]/[LCM of 613,6014]= 1/3686582
Therefore, the GCF of 9020/613,9419/6014 is 1/3686582.
To find the highest common factor of 9020,9419, we have to find the factors of both numbers and list the highest common factor.
The factors of 9020 are 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020
The factors of 9419 are 1, 9419
The HCF of 9020,9419 is 1.
Lets's calculate GCF of 9020,9419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9020,9419 By Matching Biggest Common Factor Method
Now, list down the factors of 9020
:1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020
Now, list down the factors of 9419
:1,9419
Greatest Common Factor
We found the factors 9020,9419 . The biggest common factor number is the GCF number.
So the greatest common factor 9020,9419 is 1.
Lets's calculate LCM of 613,6014
Given numbers has no common factors except 1. So, there LCM is their product i.e 3686582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3686582
Therefore, the GCF of Fractions 9020/613,9419/6014 is 1/3686582
Least Common Multiple of 613,6014 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 613,6014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,6014) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,6014) x common factors =1 x 1 = 1
LCM(613,6014) = ( 613 × 6014 ) / 1
LCM(613,6014) = 3686582 / 1
LCM(613,6014) = 3686582
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FAQs on GCF of Fractions of 9020/613, 9419/6014
1. What is the HCF of 9020,9419?
The HCF of 9020,9419 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 9020/613, 9419/6014?
Answer: GCF of Numerators as per given numbers 9020/613, 9419/6014 is
GCF of Numerators i.e. for 9020,9419 is 1
LCM of denominators i.e. for 613,6014 is 3686582.
Thus, GCF of Fractions is 1/3686582.Finally, GCF of Fractions for 9020/613, 9419/6014 is 1/3686582.