GCF of 1696/643, 1804/2359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1696/643, 1804/2359 i.e 4/1516837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1696/643, 1804/2359.
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 1696/643,1804/2359?
Given fractions are 1696/643,1804/2359
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 1696/643,1804/2359, numerators are 1696,1804
Denominators are 643,2359
The GCF of 1696,1804 is 4 .
LCM of 643,2359 is 1516837.
The greatest common factor of 1696/643,1804/2359 = [GCF of 1696,1804]/[LCM of 643,2359]= 4/1516837
Therefore, the GCF of 1696/643,1804/2359 is 4/1516837.
To find the highest common factor of 1696,1804, we have to find the factors of both numbers and list the highest common factor.
The factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696
The factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804
The HCF of 1696,1804 is 4.
Lets's calculate GCF of 1696,1804
| 2 | 1696, 1804 |
| 2 | 848, 902 |
| 424, 451 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1696,1804 By Matching Biggest Common Factor Method
Now, list down the factors of 1696
:1,2,4,8,16,32,53,106,212,424,848,1696
Now, list down the factors of 1804
:1,2,4,11,22,41,44,82,164,451,902,1804
Greatest Common Factor
We found the factors 1696,1804 . The biggest common factor number is the GCF number.
So the greatest common factor 1696,1804 is 4.
Lets's calculate LCM of 643,2359
Given numbers has no common factors except 1. So, there LCM is their product i.e 1516837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1516837
Therefore, the GCF of Fractions 1696/643,1804/2359 is 4/1516837
Least Common Multiple of 643,2359 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 643,2359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,2359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,2359) x common factors =1 x 1 = 1
LCM(643,2359) = ( 643 × 2359 ) / 1
LCM(643,2359) = 1516837 / 1
LCM(643,2359) = 1516837
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1696/643, 1804/2359
1. What is the HCF of 1696,1804?
The HCF of 1696,1804 is 4
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 1696/643, 1804/2359?
Answer: GCF of Numerators as per given numbers 1696/643, 1804/2359 is
GCF of Numerators i.e. for 1696,1804 is 4
LCM of denominators i.e. for 643,2359 is 1516837.
Thus, GCF of Fractions is 4/1516837.Finally, GCF of Fractions for 1696/643, 1804/2359 is 4/1516837.