GCF of 2997/180, 7647/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2997/180, 7647/867 i.e 3/52020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2997/180, 7647/867.
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 2997/180,7647/867?
Given fractions are 2997/180,7647/867
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 2997/180,7647/867, numerators are 2997,7647
Denominators are 180,867
The GCF of 2997,7647 is 3 .
LCM of 180,867 is 52020.
The greatest common factor of 2997/180,7647/867 = [GCF of 2997,7647]/[LCM of 180,867]= 3/52020
Therefore, the GCF of 2997/180,7647/867 is 3/52020.
To find the highest common factor of 2997,7647, we have to find the factors of both numbers and list the highest common factor.
The factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997
The factors of 7647 are 1, 3, 2549, 7647
The HCF of 2997,7647 is 3.
Lets's calculate GCF of 2997,7647
| 3 | 2997, 7647 |
| 999, 2549 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2997,7647 By Matching Biggest Common Factor Method
Now, list down the factors of 2997
:1,3,9,27,37,81,111,333,999,2997
Now, list down the factors of 7647
:1,3,2549,7647
Greatest Common Factor
We found the factors 2997,7647 . The biggest common factor number is the GCF number.
So the greatest common factor 2997,7647 is 3.
Lets's calculate LCM of 180,867
| 3 | 180, 867 |
| 60, 289 |
∴ So the LCM of the given numbers is 3 x 60 x 289 = 52020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52020
Therefore, the GCF of Fractions 2997/180,7647/867 is 3/52020
Least Common Multiple of 180,867 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 180,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(180,867) x common factors =3 x 1 = 3
LCM(180,867) = ( 180 × 867 ) / 3
LCM(180,867) = 156060 / 3
LCM(180,867) = 52020
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FAQs on GCF of Fractions of 2997/180, 7647/867
1. What is the HCF of 2997,7647?
The HCF of 2997,7647 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 2997/180, 7647/867?
Answer: GCF of Numerators as per given numbers 2997/180, 7647/867 is
GCF of Numerators i.e. for 2997,7647 is 3
LCM of denominators i.e. for 180,867 is 52020.
Thus, GCF of Fractions is 3/52020.Finally, GCF of Fractions for 2997/180, 7647/867 is 3/52020.