GCF of 2714/307, 3000/4857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2714/307, 3000/4857 i.e 2/1491099 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2714/307, 3000/4857.
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 2714/307,3000/4857?
Given fractions are 2714/307,3000/4857
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 2714/307,3000/4857, numerators are 2714,3000
Denominators are 307,4857
The GCF of 2714,3000 is 2 .
LCM of 307,4857 is 1491099.
The greatest common factor of 2714/307,3000/4857 = [GCF of 2714,3000]/[LCM of 307,4857]= 2/1491099
Therefore, the GCF of 2714/307,3000/4857 is 2/1491099.
To find the highest common factor of 2714,3000, we have to find the factors of both numbers and list the highest common factor.
The factors of 2714 are 1, 2, 23, 46, 59, 118, 1357, 2714
The factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000
The HCF of 2714,3000 is 2.
Lets's calculate GCF of 2714,3000
| 2 | 2714, 3000 |
| 1357, 1500 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2714,3000 By Matching Biggest Common Factor Method
Now, list down the factors of 2714
:1,2,23,46,59,118,1357,2714
Now, list down the factors of 3000
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000
Greatest Common Factor
We found the factors 2714,3000 . The biggest common factor number is the GCF number.
So the greatest common factor 2714,3000 is 2.
Lets's calculate LCM of 307,4857
Given numbers has no common factors except 1. So, there LCM is their product i.e 1491099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1491099
Therefore, the GCF of Fractions 2714/307,3000/4857 is 2/1491099
Least Common Multiple of 307,4857 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 307,4857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,4857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,4857) x common factors =1 x 1 = 1
LCM(307,4857) = ( 307 × 4857 ) / 1
LCM(307,4857) = 1491099 / 1
LCM(307,4857) = 1491099
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FAQs on GCF of Fractions of 2714/307, 3000/4857
1. What is the HCF of 2714,3000?
The HCF of 2714,3000 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 2714/307, 3000/4857?
Answer: GCF of Numerators as per given numbers 2714/307, 3000/4857 is
GCF of Numerators i.e. for 2714,3000 is 2
LCM of denominators i.e. for 307,4857 is 1491099.
Thus, GCF of Fractions is 2/1491099.Finally, GCF of Fractions for 2714/307, 3000/4857 is 2/1491099.