GCF of 1796/699, 1582/2106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1796/699, 1582/2106 i.e 2/490698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1796/699, 1582/2106.
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 1796/699,1582/2106?
Given fractions are 1796/699,1582/2106
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 1796/699,1582/2106, numerators are 1796,1582
Denominators are 699,2106
The GCF of 1796,1582 is 2 .
LCM of 699,2106 is 490698.
The greatest common factor of 1796/699,1582/2106 = [GCF of 1796,1582]/[LCM of 699,2106]= 2/490698
Therefore, the GCF of 1796/699,1582/2106 is 2/490698.
To find the highest common factor of 1796,1582, we have to find the factors of both numbers and list the highest common factor.
The factors of 1796 are 1, 2, 4, 449, 898, 1796
The factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582
The HCF of 1796,1582 is 2.
Lets's calculate GCF of 1796,1582
| 2 | 1796, 1582 |
| 898, 791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1796,1582 By Matching Biggest Common Factor Method
Now, list down the factors of 1796
:1,2,4,449,898,1796
Now, list down the factors of 1582
:1,2,7,14,113,226,791,1582
Greatest Common Factor
We found the factors 1796,1582 . The biggest common factor number is the GCF number.
So the greatest common factor 1796,1582 is 2.
Lets's calculate LCM of 699,2106
| 3 | 699, 2106 |
| 233, 702 |
∴ So the LCM of the given numbers is 3 x 233 x 702 = 490698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/490698
Therefore, the GCF of Fractions 1796/699,1582/2106 is 2/490698
Least Common Multiple of 699,2106 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 699,2106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,2106) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(699,2106) x common factors =3 x 1 = 3
LCM(699,2106) = ( 699 × 2106 ) / 3
LCM(699,2106) = 1472094 / 3
LCM(699,2106) = 490698
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1796/699, 1582/2106
1. What is the HCF of 1796,1582?
The HCF of 1796,1582 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 1796/699, 1582/2106?
Answer: GCF of Numerators as per given numbers 1796/699, 1582/2106 is
GCF of Numerators i.e. for 1796,1582 is 2
LCM of denominators i.e. for 699,2106 is 490698.
Thus, GCF of Fractions is 2/490698.Finally, GCF of Fractions for 1796/699, 1582/2106 is 2/490698.