GCF of 4000/716, 8982/7561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4000/716, 8982/7561 i.e 2/5413676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4000/716, 8982/7561.
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 4000/716,8982/7561?
Given fractions are 4000/716,8982/7561
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 4000/716,8982/7561, numerators are 4000,8982
Denominators are 716,7561
The GCF of 4000,8982 is 2 .
LCM of 716,7561 is 5413676.
The greatest common factor of 4000/716,8982/7561 = [GCF of 4000,8982]/[LCM of 716,7561]= 2/5413676
Therefore, the GCF of 4000/716,8982/7561 is 2/5413676.
To find the highest common factor of 4000,8982, we have to find the factors of both numbers and list the highest common factor.
The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000
The factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982
The HCF of 4000,8982 is 2.
Lets's calculate GCF of 4000,8982
| 2 | 4000, 8982 |
| 2000, 4491 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4000,8982 By Matching Biggest Common Factor Method
Now, list down the factors of 4000
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000
Now, list down the factors of 8982
:1,2,3,6,9,18,499,998,1497,2994,4491,8982
Greatest Common Factor
We found the factors 4000,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 4000,8982 is 2.
Lets's calculate LCM of 716,7561
Given numbers has no common factors except 1. So, there LCM is their product i.e 5413676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5413676
Therefore, the GCF of Fractions 4000/716,8982/7561 is 2/5413676
Least Common Multiple of 716,7561 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 716,7561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,7561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,7561) x common factors =1 x 1 = 1
LCM(716,7561) = ( 716 × 7561 ) / 1
LCM(716,7561) = 5413676 / 1
LCM(716,7561) = 5413676
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FAQs on GCF of Fractions of 4000/716, 8982/7561
1. What is the HCF of 4000,8982?
The HCF of 4000,8982 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 4000/716, 8982/7561?
Answer: GCF of Numerators as per given numbers 4000/716, 8982/7561 is
GCF of Numerators i.e. for 4000,8982 is 2
LCM of denominators i.e. for 716,7561 is 5413676.
Thus, GCF of Fractions is 2/5413676.Finally, GCF of Fractions for 4000/716, 8982/7561 is 2/5413676.