GCF of 2784/212, 2993/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2784/212, 2993/976 i.e 1/51728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2784/212, 2993/976.
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 2784/212,2993/976?
Given fractions are 2784/212,2993/976
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 2784/212,2993/976, numerators are 2784,2993
Denominators are 212,976
The GCF of 2784,2993 is 1 .
LCM of 212,976 is 51728.
The greatest common factor of 2784/212,2993/976 = [GCF of 2784,2993]/[LCM of 212,976]= 1/51728
Therefore, the GCF of 2784/212,2993/976 is 1/51728.
To find the highest common factor of 2784,2993, we have to find the factors of both numbers and list the highest common factor.
The factors of 2784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784
The factors of 2993 are 1, 41, 73, 2993
The HCF of 2784,2993 is 1.
Lets's calculate GCF of 2784,2993
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2784,2993 By Matching Biggest Common Factor Method
Now, list down the factors of 2784
:1,2,3,4,6,8,12,16,24,29,32,48,58,87,96,116,174,232,348,464,696,928,1392,2784
Now, list down the factors of 2993
:1,41,73,2993
Greatest Common Factor
We found the factors 2784,2993 . The biggest common factor number is the GCF number.
So the greatest common factor 2784,2993 is 1.
Lets's calculate LCM of 212,976
| 2 | 212, 976 |
| 2 | 106, 488 |
| 53, 244 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 244 = 51728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51728
Therefore, the GCF of Fractions 2784/212,2993/976 is 1/51728
Least Common Multiple of 212,976 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 212,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,976) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,976) x common factors =4 x 1 = 4
LCM(212,976) = ( 212 × 976 ) / 4
LCM(212,976) = 206912 / 4
LCM(212,976) = 51728
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FAQs on GCF of Fractions of 2784/212, 2993/976
1. What is the HCF of 2784,2993?
The HCF of 2784,2993 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 2784/212, 2993/976?
Answer: GCF of Numerators as per given numbers 2784/212, 2993/976 is
GCF of Numerators i.e. for 2784,2993 is 1
LCM of denominators i.e. for 212,976 is 51728.
Thus, GCF of Fractions is 1/51728.Finally, GCF of Fractions for 2784/212, 2993/976 is 1/51728.