GCF of 9034/703, 2678/571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9034/703, 2678/571 i.e 2/401413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9034/703, 2678/571.
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 9034/703,2678/571?
Given fractions are 9034/703,2678/571
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 9034/703,2678/571, numerators are 9034,2678
Denominators are 703,571
The GCF of 9034,2678 is 2 .
LCM of 703,571 is 401413.
The greatest common factor of 9034/703,2678/571 = [GCF of 9034,2678]/[LCM of 703,571]= 2/401413
Therefore, the GCF of 9034/703,2678/571 is 2/401413.
To find the highest common factor of 9034,2678, we have to find the factors of both numbers and list the highest common factor.
The factors of 9034 are 1, 2, 4517, 9034
The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 9034,2678 is 2.
Lets's calculate GCF of 9034,2678
| 2 | 9034, 2678 |
| 4517, 1339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9034,2678 By Matching Biggest Common Factor Method
Now, list down the factors of 9034
:1,2,4517,9034
Now, list down the factors of 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 9034,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 9034,2678 is 2.
Lets's calculate LCM of 703,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 401413
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/401413
Therefore, the GCF of Fractions 9034/703,2678/571 is 2/401413
Least Common Multiple of 703,571 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 703,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,571) x common factors =1 x 1 = 1
LCM(703,571) = ( 703 × 571 ) / 1
LCM(703,571) = 401413 / 1
LCM(703,571) = 401413
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FAQs on GCF of Fractions of 9034/703, 2678/571
1. What is the HCF of 9034,2678?
The HCF of 9034,2678 is 2
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 9034/703, 2678/571?
Answer: GCF of Numerators as per given numbers 9034/703, 2678/571 is
GCF of Numerators i.e. for 9034,2678 is 2
LCM of denominators i.e. for 703,571 is 401413.
Thus, GCF of Fractions is 2/401413.Finally, GCF of Fractions for 9034/703, 2678/571 is 2/401413.