How to Find GCF of 1683/983, 3598/6805?

GCF of 1683/983, 3598/6805

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1683/983, 3598/6805 i.e 1/6689315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1683/983, 3598/6805.

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 1683/983,3598/6805?

Given fractions are 1683/983,3598/6805

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 1683/983,3598/6805, numerators are 1683,3598

Denominators are 983,6805

The GCF of 1683,3598 is 1 .

LCM of 983,6805 is 6689315.

The greatest common factor of 1683/983,3598/6805 = [GCF of 1683,3598]/[LCM of 983,6805]= 1/6689315

Therefore, the GCF of 1683/983,3598/6805 is 1/6689315.

Greatest Common Factor of 1683,3598

To find the highest common factor of 1683,3598, we have to find the factors of both numbers and list the highest common factor.

The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683

The factors of 3598 are 1, 2, 7, 14, 257, 514, 1799, 3598

The HCF of 1683,3598 is 1.

Lets's calculate GCF of 1683,3598

Greatest Common Factor (GCF) of 1683,3598 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1683,3598 By Matching Biggest Common Factor Method

Now, list down the factors of 1683

1,3,9,11,17,33,51,99,153,187,561,1683

Now, list down the factors of 3598

1,2,7,14,257,514,1799,3598

Greatest Common Factor

We found the factors 1683,3598 . The biggest common factor number is the GCF number.
So the greatest common factor 1683,3598 is 1.

Lets's calculate LCM of 983,6805

Lowest Common Multiple of 983,6805 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6689315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6689315

Therefore, the GCF of Fractions 1683/983,3598/6805 is 1/6689315

Least Common Multiple of 983,6805 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 983,6805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,6805) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(983,6805) x common factors =1 x 1 = 1

LCM(983,6805) = ( 983 × 6805 ) / 1

LCM(983,6805) = 6689315 / 1

LCM(983,6805) = 6689315

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FAQs on GCF of Fractions of 1683/983, 3598/6805

1. What is the HCF of 1683,3598?

The HCF of 1683,3598 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 1683/983, 3598/6805?

Answer: GCF of Numerators as per given numbers 1683/983, 3598/6805 is

GCF of Numerators i.e. for 1683,3598 is 1

LCM of denominators i.e. for 983,6805 is 6689315.

Thus, GCF of Fractions is 1/6689315.Finally, GCF of Fractions for 1683/983, 3598/6805 is 1/6689315.