GCF of 7000/681, 2997/681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7000/681, 2997/681 i.e 1/681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7000/681, 2997/681.
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 7000/681,2997/681?
Given fractions are 7000/681,2997/681
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 7000/681,2997/681, numerators are 7000,2997
Denominators are 681,681
The GCF of 7000,2997 is 1 .
LCM of 681,681 is 681.
The greatest common factor of 7000/681,2997/681 = [GCF of 7000,2997]/[LCM of 681,681]= 1/681
Therefore, the GCF of 7000/681,2997/681 is 1/681.
To find the highest common factor of 7000,2997, we have to find the factors of both numbers and list the highest common factor.
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000
The factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997
The HCF of 7000,2997 is 1.
Lets's calculate GCF of 7000,2997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7000,2997 By Matching Biggest Common Factor Method
Now, list down the factors of 7000
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Now, list down the factors of 2997
:1,3,9,27,37,81,111,333,999,2997
Greatest Common Factor
We found the factors 7000,2997 . The biggest common factor number is the GCF number.
So the greatest common factor 7000,2997 is 1.
Lets's calculate LCM of 681,681
| 3 | 681, 681 |
| 227 | 227, 227 |
| 1, 1 |
∴ So the LCM of the given numbers is 3 x 227 x 1 x 1 = 681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/681
Therefore, the GCF of Fractions 7000/681,2997/681 is 1/681
Least Common Multiple of 681,681 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 681,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,681) = 681
common factors(in case of two or more numbers have common factors) = 1
GCF(681,681) x common factors =681 x 1 = 681
LCM(681,681) = ( 681 × 681 ) / 681
LCM(681,681) = 463761 / 681
LCM(681,681) = 681
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FAQs on GCF of Fractions of 7000/681, 2997/681
1. What is the HCF of 7000,2997?
The HCF of 7000,2997 is 1
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 7000/681, 2997/681?
Answer: GCF of Numerators as per given numbers 7000/681, 2997/681 is
GCF of Numerators i.e. for 7000,2997 is 1
LCM of denominators i.e. for 681,681 is 681.
Thus, GCF of Fractions is 1/681.Finally, GCF of Fractions for 7000/681, 2997/681 is 1/681.