GCF of 9258/711, 7395/5639
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9258/711, 7395/5639 i.e 3/4009329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9258/711, 7395/5639.
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 9258/711,7395/5639?
Given fractions are 9258/711,7395/5639
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 9258/711,7395/5639, numerators are 9258,7395
Denominators are 711,5639
The GCF of 9258,7395 is 3 .
LCM of 711,5639 is 4009329.
The greatest common factor of 9258/711,7395/5639 = [GCF of 9258,7395]/[LCM of 711,5639]= 3/4009329
Therefore, the GCF of 9258/711,7395/5639 is 3/4009329.
To find the highest common factor of 9258,7395, we have to find the factors of both numbers and list the highest common factor.
The factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258
The factors of 7395 are 1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465, 7395
The HCF of 9258,7395 is 3.
Lets's calculate GCF of 9258,7395
| 3 | 9258, 7395 |
| 3086, 2465 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9258,7395 By Matching Biggest Common Factor Method
Now, list down the factors of 9258
:1,2,3,6,1543,3086,4629,9258
Now, list down the factors of 7395
:1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395
Greatest Common Factor
We found the factors 9258,7395 . The biggest common factor number is the GCF number.
So the greatest common factor 9258,7395 is 3.
Lets's calculate LCM of 711,5639
Given numbers has no common factors except 1. So, there LCM is their product i.e 4009329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4009329
Therefore, the GCF of Fractions 9258/711,7395/5639 is 3/4009329
Least Common Multiple of 711,5639 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 711,5639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,5639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,5639) x common factors =1 x 1 = 1
LCM(711,5639) = ( 711 × 5639 ) / 1
LCM(711,5639) = 4009329 / 1
LCM(711,5639) = 4009329
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FAQs on GCF of Fractions of 9258/711, 7395/5639
1. What is the HCF of 9258,7395?
The HCF of 9258,7395 is 3
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 9258/711, 7395/5639?
Answer: GCF of Numerators as per given numbers 9258/711, 7395/5639 is
GCF of Numerators i.e. for 9258,7395 is 3
LCM of denominators i.e. for 711,5639 is 4009329.
Thus, GCF of Fractions is 3/4009329.Finally, GCF of Fractions for 9258/711, 7395/5639 is 3/4009329.