GCF of 1793/828, 2116/2004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1793/828, 2116/2004 i.e 1/138276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1793/828, 2116/2004.
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 1793/828,2116/2004?
Given fractions are 1793/828,2116/2004
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 1793/828,2116/2004, numerators are 1793,2116
Denominators are 828,2004
The GCF of 1793,2116 is 1 .
LCM of 828,2004 is 138276.
The greatest common factor of 1793/828,2116/2004 = [GCF of 1793,2116]/[LCM of 828,2004]= 1/138276
Therefore, the GCF of 1793/828,2116/2004 is 1/138276.
To find the highest common factor of 1793,2116, we have to find the factors of both numbers and list the highest common factor.
The factors of 1793 are 1, 11, 163, 1793
The factors of 2116 are 1, 2, 4, 23, 46, 92, 529, 1058, 2116
The HCF of 1793,2116 is 1.
Lets's calculate GCF of 1793,2116
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1793,2116 By Matching Biggest Common Factor Method
Now, list down the factors of 1793
:1,11,163,1793
Now, list down the factors of 2116
:1,2,4,23,46,92,529,1058,2116
Greatest Common Factor
We found the factors 1793,2116 . The biggest common factor number is the GCF number.
So the greatest common factor 1793,2116 is 1.
Lets's calculate LCM of 828,2004
| 2 | 828, 2004 |
| 2 | 414, 1002 |
| 3 | 207, 501 |
| 69, 167 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 69 x 167 = 138276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138276
Therefore, the GCF of Fractions 1793/828,2116/2004 is 1/138276
Least Common Multiple of 828,2004 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 828,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,2004) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(828,2004) x common factors =12 x 1 = 12
LCM(828,2004) = ( 828 × 2004 ) / 12
LCM(828,2004) = 1659312 / 12
LCM(828,2004) = 138276
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FAQs on GCF of Fractions of 1793/828, 2116/2004
1. What is the HCF of 1793,2116?
The HCF of 1793,2116 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 1793/828, 2116/2004?
Answer: GCF of Numerators as per given numbers 1793/828, 2116/2004 is
GCF of Numerators i.e. for 1793,2116 is 1
LCM of denominators i.e. for 828,2004 is 138276.
Thus, GCF of Fractions is 1/138276.Finally, GCF of Fractions for 1793/828, 2116/2004 is 1/138276.