GCF of 7017/519, 2307/8416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7017/519, 2307/8416 i.e 3/4367904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7017/519, 2307/8416.
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 7017/519,2307/8416?
Given fractions are 7017/519,2307/8416
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 7017/519,2307/8416, numerators are 7017,2307
Denominators are 519,8416
The GCF of 7017,2307 is 3 .
LCM of 519,8416 is 4367904.
The greatest common factor of 7017/519,2307/8416 = [GCF of 7017,2307]/[LCM of 519,8416]= 3/4367904
Therefore, the GCF of 7017/519,2307/8416 is 3/4367904.
To find the highest common factor of 7017,2307, we have to find the factors of both numbers and list the highest common factor.
The factors of 7017 are 1, 3, 2339, 7017
The factors of 2307 are 1, 3, 769, 2307
The HCF of 7017,2307 is 3.
Lets's calculate GCF of 7017,2307
| 3 | 7017, 2307 |
| 2339, 769 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7017,2307 By Matching Biggest Common Factor Method
Now, list down the factors of 7017
:1,3,2339,7017
Now, list down the factors of 2307
:1,3,769,2307
Greatest Common Factor
We found the factors 7017,2307 . The biggest common factor number is the GCF number.
So the greatest common factor 7017,2307 is 3.
Lets's calculate LCM of 519,8416
Given numbers has no common factors except 1. So, there LCM is their product i.e 4367904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4367904
Therefore, the GCF of Fractions 7017/519,2307/8416 is 3/4367904
Least Common Multiple of 519,8416 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 519,8416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,8416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,8416) x common factors =1 x 1 = 1
LCM(519,8416) = ( 519 × 8416 ) / 1
LCM(519,8416) = 4367904 / 1
LCM(519,8416) = 4367904
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FAQs on GCF of Fractions of 7017/519, 2307/8416
1. What is the HCF of 7017,2307?
The HCF of 7017,2307 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 7017/519, 2307/8416?
Answer: GCF of Numerators as per given numbers 7017/519, 2307/8416 is
GCF of Numerators i.e. for 7017,2307 is 3
LCM of denominators i.e. for 519,8416 is 4367904.
Thus, GCF of Fractions is 3/4367904.Finally, GCF of Fractions for 7017/519, 2307/8416 is 3/4367904.